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1
Lee, Kyung Ha. "A comparative study of selected violin works of Isang Yun Gasa für Violine und Klavier (1963) and Sonate für Violine und Klavier Nr. 1 (1991) /." Columbus, Ohio : Ohio State University, 2009. http://rave.ohiolink.edu/etdc/view.cgi?acc%5Fnum=osu1243887615.
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Kozáková, Kamila. "Isang Yun a jeho skladby pro hoboj." Master's thesis, Akademie múzických umění v Praze.Hudební a taneční fakulta. Knihovna, 2012. http://www.nusl.cz/ntk/nusl-156108.
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Isang Yun and his works for oboe is a title of this master thesis. It introduces a personality of a Korean composer Isang Yun and it focuses on his works for oboe. The first chapter contains resumé of principal moments of the composer´s life. The next chapter briefly touches characteristics of a traditional Korean music, how the western culture is displayed in the Korean music, what is her influence on the Korean music and their inosculation into each other. The following chapter describes a compositional style of Isang Yun in which elements of both different cultures combine in a unique way. Yun´s work is devided here into five stylistic periods and in this chapter one fractional subchapter is also introduced where an insight into a few compositional techniques of the composer, can be found. Final chapter contains analysis of five compositions, which Isang Yun wrote for oboe "Piri, Doppelkonzert for oboe and harp, Rondell, Quartett for oboe and strings and Bläserquintett.
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Moťková, Kamila. "Isang Yun a jeho skladby pro hoboj." Doctoral thesis, Akademie múzických umění v Praze.Hudební a taneční fakulta. Knihovna, 2015. http://www.nusl.cz/ntk/nusl-253698.
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Isang Yun and his works for oboe is a title of this master thesis. It introduces a personality of a Korean composer Isang Yun and it focuses on his works for oboe. The first chapter contains resumé of principal moments of the composer´s life. The next chapter briefly touches characteristics of traditional Korean music, how the western culture is displayed in the Korean music, what is its influence on the Korean music and their inosculation into each other. The following chapter has an aim to introduce the biggest inspirational element in Yun´s life - the philospophy of Taoism. The fourth chapter describes a compositional style of Isang Yun in which elements of both different cultures combine in a unique way. In this chapter one fractional subchapter is also introduced where an insight into a few compositional techniques of the composer and an approach of audience to Yun´s music can be found. Final chapter contains analysis of eight compositions, which Isang Yun wrote for oboe Piri, Doppelkonzert for oboe and harp, Inventionen, Rondell, Images, Quartett for oboe and strings, Bläserquintett and Bläseroktett.
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Hur, Dae-Sik. "A Combination of Asian Language with Foundations of Western Music: An Analysis of Isang Yun's Salomo for Flute Solo or Alto Flute Solo." Thesis, connect to online resource, 2005. http://www.unt.edu/etd/all/Aug2005/hur%5Fdae-sik/index.htm.
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Thesis (D.M.A.)--University of North Texas, 2005.System requirements: Adobe Acrobat Reader. Accompanied by 4 recitals, recorded Apr. 17, 2000, Mar. 26, 2001, June 17, 2002, and Mar. 21, 2005. Includes bibliographical references (p. 58-60).
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Kim, Junghyun. "Isang Yun's Duo for Viola and Piano (1976): A Synthesis of Eastern Music Concepts With Western Music Techniques." Diss., The University of Arizona, 2007. http://hdl.handle.net/10150/193670.
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Isang Yun is one of the most significant figures in Korean music of the twentieth century. He moved beyond serialism, founding his musical resources in Korean traditional music as well as in Taoism. Yun created unique sound which has resemblance to Korean traditional music particularly in ornaments through Western instrumentation and musical techniques. Consequently, Yun invented his own main tone technique, and its distinctive Koran sound separated him from other important avant-garde composers of the twentieth century. In this thesis Yun's life is introduced as a strong influence on his compositional styles. Also, his compositional styles are placed within the larger context of twentieth century musical trends, which shows why his works are important in twentieth century music history. Most importantly, it demonstrates that the idiosyncratic style of Isang Yun's Duo for Viola and Piano results from a blending of Eastern and Western musical elements. For this reason, in this document I will analyze and examine the Duo for Viola and Piano, and explain how Yun translated Eastern musical concepts into Western musical techniques.
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Kuh, Ja-Kyoung. "THE USE OF TRADITIONAL KOREAN COMPOSITIONAL TECHNIQUES IN ISANG YUN'S OPERA "DIE WITWE DES SCHMETTERLINGS" (THE BUTTERFLY WIDOW): COMBINING EASTERN MUSICAL VALUES AND CONCEPTS WITHIN THE CONTEXT OF WESTERN PRACTICE." Diss., The University of Arizona, 2009. http://hdl.handle.net/10150/193734.
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Isang Yun (1917-1995) is one of the most important composers in Korean history. Even though Yun is a South Korean-born composer, most of his music was composed in Germany and has been largely performed and studied in Europe, Japan, and even North Korea. His music is unfamiliar to South Korean audiences because of the political issues surrounding the East Berlin Spy Incident (1967). Isang Yun composed a massive amount of music employing his unique compositional methods, such as the Korean traditional zither technique, Nonghyun, which is very similar to the vocal technique, Sigimsae. Also Yun created a Main-Tone Technique that was influenced by Korean court music and utilized more practically for his orchestra pieces as a Main-Sound Technique. Based on Taoist philosophy, Yun employed yin and yang concepts in his compositions and formulated his music with balance. All of his techniques and styles of music were designed by employing Eastern musical language and European compositional techniques. In this thesis, I will introduce the concepts and compositional techniques of Isang Yun. Also, by analyzing how he translated Eastern musical concepts into Western musical techniques in his opera, Die Witwe des Schmetterlings (The Butterfly Widow), I will attempt to demonstrate Yun's unique compositional style which resulted from a blending of Eastern and Western musical elements. In this opera, we have a unique example of how he successfully employed his own Korean musical values and techniques within the context of Western practice. Yun rediscovered the value of his own Eastern compositional techniques and then shared his music with Western audiences.
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Ro, Sophia M. "Reading Isang Yun’s Concerto No 3 Beyond Western Notational Norms." Thesis, University of North Texas, 2014. https://digital.library.unt.edu/ark:/67531/metadc700034/.
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Korean-German composer Isang Yun received international recognition as one of the successful and leading twentieth-century composers. Despite Yun’s lasting fame, some of his works remain lesser known such as all three of his violin concerti. Yun’s main compositional techniques in his violin concerti are abundant ornamentations and articulations that imitate the sound of Korean folk instruments but played on the violin. Without acknowledging Korean folk music performance practices and folk instruments, a violinist cannot accurately deliver what Yun’s music expressed. The fact that Yun’s Violin Concerto No. 3 imitates Korean string instruments, haegeum or komungo, it must be explained how Korean ornamentations are played and can be incorporated on the violin. The purpose of this paper is to provide these answers as well as technical suggestions regarding abundant ornamentations, frequent dynamic and articulation changes, as well as fingerings and bowings. It is hoped that this study will help violin performers to understand Yun’s Concerto No. 3 and encourage more frequent performances of it.
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Kim, Daewook. "The Integration of Western Techniques with East Asian Philosophies in Isang Yun's Quartett Für Horn, Trompete, Posaune Und Klavier." Thesis, University of North Texas, 2013. https://digital.library.unt.edu/ark:/67531/metadc283829/.
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Korean composer Isang Yun (1917-1995) was one of the few successful Asian avant-garde composers to blend philosophical elements from East Asia with Western techniques such as the twelve-tone method, Hauptton, Hauptklang, and Umspielung. In addition to the integration of Western and Eastern influences, a significant feature of Yun´s compositional language, found throughout his oeuvre, is the application of East Asian philosophical tenets into his works. The purpose of this dissertation is to develop a greater understanding of Isang Yun's life and music, more specifically the Quartett für Horn, Trompete, Posaune und Klavier. The dissertation is divided into five chapters. The first chapter of the dissertation presents introductory data, including the purpose and significance of the study. The second chapter provides pertinent biographical facts about Isang Yun and his works, obtained through research of authoritative books, journal articles, and interviews. The third chapter offers references to traditional Korean brass instruments in terms of their historical background, structure, and timbre. In addition, it also focuses on the processes by which Yun incorporated the compositional techniques of Hauptton, Hauptklang, and Umspielung to the work and their relation to Tao philosophy. The fourth chapter consists of an analytical and stylistic study of the Quartett; Yun's compositional language and formal structure are examined based on a stylistic assessment of selected examples from the work. The fifth and last chapter is a conclusion.
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Lo, MeeAh. "The Combination of Eastern and Western Musical Worlds: Korean Performance Techniques Applied to Western Symphony Orchestra in Relation to Isang Yun’s Tänzerische Fantasie Für Großes Orchester, Muak (1987)." Thesis, University of North Texas, 2014. https://digital.library.unt.edu/ark:/67531/metadc700060/.
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Isang Yun employed several contrasting methods to achieve the combination of two different musical worlds, Eastern and Western, in his Tänzerische Fantasie für Großes Orchester, Muak. In presenting Eastern elements, he adopts Taoism as his musical philosophy, describes the Korean traditional dance motion Chun-Aeng-Mu (Dance of the Oriole), and applies Korean traditional performance practice in the use of Western instruments. Showing the influence of aspects of Western music, he employs a musical form similar to that of the Baroque Concerto Grosso, evokes Igor Stravinsky’s rhythmic mood and tension from Le Sacre du Printemps (The Rite of Spring), and even uses his own compositional technique Hauptklangtechnik within the format of Western orchestration. In its analysis of Muak, this research project addresses how Korean performance practice can be applied to the modern Western symphony orchestra. This research project also provides insights regarding the sounds of instruments in the Korean tradition and explains how it is possible to create those sounds with modern instruments in order to make Yun’s dream sounds possible. This study provides several examples and describes various performance techniques that appear in Korean traditional music. It provides indications to orchestras and conductors, assisting them to arrive at effective basic performance ideas for the performance of Muak.
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Choi, Woohyuk. "The Opening Section of Isang Yun's My Land My People: A Cross-Section of Korean and Western Musical Features." Thesis, connect to online resource, 2006. http://www.unt.edu/etd/all/May2006/choi%5Fwoohyuk/index.htm.
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Krickeberg, Dieter. "Die Wiedergabe der Werke von Isang Yun in der Sicht seiner Interpreten." Bärenreiter Verlag, 2000. https://slub.qucosa.de/id/qucosa%3A36655.
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Kim, Songyoung. "The Concept Of “Unity” In Isang Yun’s Königliches Thema Fr Violine Solo." Thesis, University of North Texas, 2011. https://digital.library.unt.edu/ark:/67531/metadc103345/.
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A Korean-German composer Isang Yun.s life was evenly distributed between two different countries, and his music contains both elements of performance practices of Eastern Asian and Western music. This dissertation presents his ethnic and aesthetic musical roots by an analytic examination of his solo violin piece, K♠nigliches Thema (1976). The dissertation is divided into four chapters. The first chapter contains Isang Yuns biography and his works of the four periods. The second chapter studies his philosophy in music and compositional techniques such as twelve-tone technique, Taoism, Hauptton, Hauptklang and the Korean instrumental technique in Western instruments. The third chapter presents a detailed analysis of Knigliches Thema with his Taoist philosophy. The fourth chapter is solely dedicated to the performance perspectives of Königliches Thema in tempo, dynamic and various violin techniques.
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Lee, Kyung Ha. "A Comparative Study of Selected Violin Works of Isang Yun: Gasa für Violine und Klavier (1963) and Sonate für Violine und Klavier Nr. 1 (1991)." The Ohio State University, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=osu1243887615.
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Schröder, Gesine. "„... fremden Raum betreten“ - Zum Europäischen in Yuns Musik." Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2011. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-77518.
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Was ist an Isang Yuns Kompositionen fremd für uns geblieben? Und welche Musik war für ihn fremd, als er nach Europa kam? Mit welchen Schreibweisen machte er sich in dem neuen kulturellen Raum heimisch? Diesen Fragen wird mit einer Konzentration auf das späte Schaffen des Komponisten nachgegangen.
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Kim, Joo Won. "The Development of Contemporary Korean Music with Emphasis on Works of Isang Yun." The Ohio State University, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=osu1306857577.
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Kim, Hyo Jung. "Combining of Korean Traditional Performance and Recent German Techniques in Isang Yun's Kontraste: Zwei Stücke für Violine Solo (1987)." Thesis, University of North Texas, 2010. https://digital.library.unt.edu/ark:/67531/metadc33175/.
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Isang Yun (1917-1995) embraced a masterful combination of two elements derived from his life: his Korean cultural upbringing and Western musical traditions. This dissertation explores Yun's distinctive style through an analysis of his Kontraste: Zwei Stücke für Violine Solo. Following the introduction (Chapter 1), Chapter 2 contains a brief biography of Isang Yun, and explores the compositions of his Korean period (1917-1955) and his European period (1956-1995). It also discusses how Yun's musical styles changed during these two periods as a result of important life events and due to cultural and political influences. Chapter 3 examines Korean instruments such as Kayakem, Hae-Kem, and Pak; discusses Nonghyun (traditional string techniques of ornamentation in Korean music); and introduces Korean performance techniques. This chapter also provides explanations of these concepts, illustrated through various examples. A subsequent discussion illuminates Yin-Yang theory and Jeong-Jung-Dong, both elements of Taoist philosophy that influenced Yun's compositional style. This is followed by explanations of Hauptton and Umspielung, two compositional techniques that Yun developed and employed in Kontraste. Yun created the idea of Hauptton to reflect the Korean traditional concept of a single note. He used the term Umspielung ("playing around" in German) to describe his interpretation of the four traditional techniques of Nonghyun within a Western notational framework. In Chapter 5, analysis of Kontraste reveals how the piece's contrasting elements represent the concepts of Yin-Yang and Jeong-Jung-Dong, and shows how the violin imitates the sounds of Korean traditional instruments and instrumental technique. Yun's adaption of Korean traditional performance techniques to the violin in Kontraste is aimed at combining East and West and producing a new aesthetic.
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Oh, Eun Suk. "An Analytical Study of Isang Yun's "Oboe and Oboe D'amore Concerto": The Intercultural Adaptation of Sigimsae for the Korean Piri with Modern Western Compositional Techniques for the Oboe." Thesis, University of North Texas, 2020. https://digital.library.unt.edu/ark:/67531/metadc1707332/.
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Isang Yun (1917-1995), one of the most important avant-garde German-Korean composers, is perhaps best known for his success at integrating Korean musical elements into traditional Western styles. His Concerto for Oboe, Oboe d'amore, and Orchestra incorporates many traditional Korean elements, and uses techniques such as Hauptton, Hauptklang, and Umspielung to blend these elements into a Western musical style. This study explores the elements of traditional Korean music and instruments present in Yun's score, examines his compositional techniques, and makes practical performance suggestions that allow performers to properly convey his intentions. This dissertation includes six chapters. The first chapter discusses the purpose and importance of the study. The second chapter reviews Isang Yun's biography and works, based on a published interview with Yun and a biography written by his wife of many years. The third chapter introduces the characteristics of traditional Korean woodwind instruments relevant to the work. The fourth chapter examines Yun's compositional techniques of Hauptton, Hauptklang, and Umspielung in the work and their relationship with the main-tone and Sigimsae techniques. The fifth chapter introduces and explores different types of Sigimsae in the work, with suggestions for quarter-tone performance techniques. The sixth and last chapter is a conclusion.
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Im, Hyoungjin [Verfasser]. "Wiederherstellung der Identität des Anderen : Die Tendenz zum Postkolonialismus im Opernschaffen Isang Yuns und deren Realisierung / Hyoungjin Im." Berlin : Freie Universität Berlin, 2015. http://d-nb.info/1074871030/34.
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Kim, Yun Jeong. "Isang Yun's Violin Concerto No.1 (1981): A Fusion of Eastern and Western Styles, and the Influence of Taoism." University of Cincinnati / OhioLINK, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1368086330.
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Jang, Seon Hee. "Interpretation of Extended Techniques in Unaccompanied flute Works by East-Asian Composers: Isang Yun, Toru Takemitsu, and Kazuo Fukushima." University of Cincinnati / OhioLINK, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1275917772.
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Kim, Kang Mi. "A study of Korean art songs since 1900 : focusing on pieces by Dong-Jin Kim, Heung-Yeol Lee, and Isang Yun /." Thesis, Connect to this title online; UW restricted, 2003. http://hdl.handle.net/1773/11286.
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Kim, Sinae. "Isang Yun and the Hauptton Technique: An Analytical Study of the Second Movement from Duo für Violoncello und Harfe (1984)." Thèse, Université d'Ottawa / University of Ottawa, 2012. http://hdl.handle.net/10393/22797.
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Composer Isang Yun developed an idiosyncratic musical language that blends Eastern-Asian and Western-European art traditions. Exiled from Korea due to political conflict, he continued his compositional career in Germany, where his music is renowned for its use of the Hauptton (“main-tone”) technique. Yun was the first to discuss this technique, which he interprets as a process rooted in East-Asian musical traditions, including Taoism philosophy. His music is remarkable in that it fuses this process within the context of Western formal structures. I combine Straus’s associational model with Yun’s Hauptton theory to analyse the second movement of Duo für Violoncello und Harfe (1984) in order to show the inclusion of Eastern-Asian and Western-European musical elements in Yun’s music. I begin by analysing several Haupttöne at the surface level through associational relationships, followed by a large-scale analysis of the entire movement with one fundamental Hauptton.
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Choi, Ji Sun. "The Merging of Korean Traditional Music and Western Instrumentation as Exemplified in Four Chamber Works for Piano Composed by Isang Yun." Scholarly Repository, 2007. http://scholarlyrepository.miami.edu/oa_dissertations/8.
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The purpose of this study is to identify and elucidate the unique aspects of Isang Yun's compositional style through in-depth examination of his piano chamber works: Gasa for Violin and Piano, Garak for Flute and Piano, Nore for Cello and Piano and Riul for Clarinet and Piano. Isang Yun (1917-1995), a Korean-born composer, is renowned for having established a compositional language which expresses Eastern thought in music crafted from Western musical elements. He was a pioneer and leader who created new compositional techniques in his efforts to combine Western styles with Korean musical traditions. He achieved international acclaim for his highly developed compositional techniques such as Haupttontechnik (Main-tone Technique) and Hauptklangtechnik (Sound-complex Technique), which modernized and westernized ancient Korean performance practices and native Korean music traditions. Four chamber works for piano by Isang Yun are used to trace the development of his use of twelve-tone technique and Haupttontechnik and to identify the connection between his spiritual philosophies and his music. This essay provides these insights to give the reader a more complete understanding of the life and music of Isang Yun.
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Giokas, Philip. "Aspects of the Ising and tricritical Ising models." Thesis, King's College London (University of London), 2013. https://kclpure.kcl.ac.uk/portal/en/theses/aspects-of-the-ising-and-tricritical-ising-models(8bb2e06f-aef7-45ca-8058-3a3eea92b9e6).html.
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This thesis is concerned with several aspects of the Ising and tri-critical Ising models in two-dimensions. These are much-studied models relevant in both condensed matter physics as descriptions of the critical phenomena of two- dimensional systems and in String theory as building blocks of the string world sheet theory. The first part of the thesis is concerned with the derivation of differential equations for the critical four-point function in the Ising model. We present a method which provides the well-known standard solutions by a new and efficient route. The second part of the thesis is concerned with off-critical behaviour, and in particular the numerical study of perturbations of conformal field theory through the truncated conformal space approach. We show that the coupling constant undergoes significant renormalization in this scheme, and in particular the Ising model can be found as a fixed point for a finite value of the bare coupling constant. The renormalization group equations we find are of general use in the TCSA approach. The final part of the thesis considers off-critical boundary conditions in the tri-critical Ising model. We study them using a variant of the mean-field method and find a qualitative description of the space of boundary conditions that is in accord with the exact conformal field theory description. This is both a test of the method and its applicability in new domains, and also shows that previously published results are in error.
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Li, Chengshu. "Tricritical Ising edge modes in a Majorana-Ising ladder." Thesis, University of British Columbia, 2017. http://hdl.handle.net/2429/62467.
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While Majorana fermions remain at large as fundamental particles, they emerge in condensed matter systems with peculiar properties. Grover et al. proposed a Majorana-Ising chain model, or the GSV model, where the system undergoes a tricritical Ising transition by tuning just one parameter. In this work, we generalize this model to a ladder with inter-chain Majorana couplings. From a mean field analysis, we argue that the tricritical Ising transition will also occur with inter-chain couplings that allow the system to be gapless in the non-interacting case. More crucially, based on analysis of the interacting chain model and the non-interacting ladder model, we expect the tricritical Ising modes to appear on the edges, a feature that might persist when going to 2d. We carry out extensive DMRG calculations to verify the theory in the ladder model. Finally, we discuss possible numerical probes of a 2d model.Science, Faculty of
Physics and Astronomy, Department of
Graduate
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Karevski, Dragi. "Ising Quantum Chains." Habilitation à diriger des recherches, Université Henri Poincaré - Nancy I, 2005. http://tel.archives-ouvertes.fr/hal-00113500.
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The aim of this article is to give a pedagogical introduction to the exact equilibrium and nonequilibrium properties of free fermionic quantum spin chains. In a first part we present in full details the canonical diagonalisation procedure and review quickly the equilibrium dynamical properties. The phase diagram is analysed and possible phase transitions are discussed. The two next chapters are concerned with the effect of aperiodicity and quenched disorder on the critical properties of the quantum chain. The remaining part is devoted to the nonequilibrium dynamical behaviour of such quantum chains relaxing from a nonequilibrium pure initial state. In particular, a special attention is made on the relaxation of transverse magnetization. Two-time linear response functions and correlation functions are also considered, giving insights on the nature of the final nonequilibrium stationnary state. The possibility of aging is also discussed.
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Kamenetsky, Dmitry, and dkamen@rsise anu edu au. "Ising Graphical Model." The Australian National University. ANU College of Engineering and Computer Science, 2010. http://thesis.anu.edu.au./public/adt-ANU20100727.221031.
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The Ising model is an important model in statistical physics, with over 10,000 papers published on the topic. This model assumes binary variables and only local pairwise interactions between neighbouring nodes. Inference for the general Ising model is NP-hard; this includes tasks such as calculating the partition function, finding a lowest-energy (ground) state and computing marginal probabilities. Past approaches have proceeded by working with classes of tractable Ising models, such as Ising models defined on a planar graph. For such models, the partition function and ground state can be computed exactly in polynomial time by establishing a correspondence with perfect matchings in a related graph.
In this thesis we continue this line of research. In particular we simplify previous inference algorithms for the planar Ising model. The key to our construction is the complementary correspondence between graph cuts of the model graph and perfect matchings of its expanded dual. We show that our exact algorithms are effective and efficient on a number of real-world machine learning problems. We also investigate heuristic methods for approximating ground states of non-planar Ising models. We show that in this setting our approximative algorithms are superior than current state-of-the-art methods.
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Hystad, Grethe. "Periodic Ising Correlations." Diss., The University of Arizona, 2009. http://hdl.handle.net/10150/196130.
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We consider the finite two-dimensional Ising model on a lattice with periodic boundaryconditions. Kaufman determined the spectrum of the transfer matrix on the finite,periodic lattice, and her derivation was a simplification of Onsager's famous result onsolving the two-dimensional Ising model. We derive and rework Kaufman's resultsby applying representation theory, which give us a more direct approach to computethe spectrum of the transfer matrix. We determine formulas for the spin correlationfunction that depend on the matrix elements of the induced rotation associated withthe spin operator. The representation of the spin matrix elements is obtained byconsidering the spin operator as an intertwining map. We wrap the lattice aroundthe cylinder taking the semi-infinite volume limit. We control the scaling limit of themulti-spin Ising correlations on the cylinder as the temperature approaches the criticaltemperature from below in terms of a Bugrij-Lisovyy conjecture for the spin matrixelements on the finite, periodic lattice. Finally, we compute the matrix representationof the spin operator for temperatures below the critical temperature in the infinite-volume limit in the pure state defined by plus boundary conditions.
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Pugh, Mathew. "Ising model and beyond." Thesis, Cardiff University, 2008. http://orca.cf.ac.uk/54791/.
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We study the SU(3) AVE graphs, which appear in the classification of modular in variant partition functions from numerous viewpoints, including determination of their Boltzmann weights, representations of Hecke algebras, a new notion of A2 planar algebras and their modules, various Hilbert series of dimensions and spectral measures, and the K-theory of associated Cuntz-Krieger algebras. We compute the K-theory of the of the Cuntz-Krieger algebras associated to the SU(3) AVE graphs. We compute the numerical values of the Ocneanu cells, and consequently representations of the Hecke algebra, for the AVE graphs. Some such representations have appeared in the literature and we compare our results. We use these cells to define an SU(3) analogue of the Goodman-de la Harpe-Jones construction of a subfactor, where we embed the j42-Temperley-Lieb algebra in an AF path-algebra of the SU(3) AVE graphs. Using this construction, we realize all SU(3) modular invariants by subfactors previously announced by Ocneanu. We give a diagrammatic representation of the i42-Temperley-Lieb algebra, and show that it is isomorphic to Wenzl's representation of a Hecke algebra. Generalizing Jones's notion of a planar algebra, we construct an 42-planar algebra which captures the structure contained in the SU(3) AVE subfactors. We show that the subfactor for an AVE graph with a flat connection has a description as a flat >12-planar algebra. We introduce the notion of modules over an 42-planar algebra, and describe certain irreducible Hilbert A2- Temperley-Lieb-modules. A partial decomposition of the ,42-planar algebras for the AVE graphs is achieved. We compare various Hilbert series of dimensions associated to ADE models for SU(2), and the Hilbert series of certain Calabi-Yau algebras of dimension 3. We also consider spectral measures for the ADE graphs and generalize to SU(3), and in particular obtain spectral measures for the infinite SU(3) graphs.
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Malmini, Ranasinghe P. K. C. "Gonihedric 3D Ising models." Thesis, Heriot-Watt University, 1997. http://hdl.handle.net/10399/675.
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Varrassi, Lorenzo. "Il modello di Ising." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2016. http://amslaurea.unibo.it/10573/.
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L'elaborato fornisce una introduzione al modello di Ising, utilizzato nello studio delle transizioni di fase tra la fase ferromagnetica e quella paramagnetica dei materiali.
Nella prima parte viene trattato il modello unidimensionale, di cui viene esposta la soluzione esatta attraverso l'utilizzo delle matrici di trasferimento, dimostrando quindi l'inesistenza di una transizione di fase a temperature finite non nulle. Vengono calcolate le funzioni termodinamiche e se ne dimostra l'indipendenza dalle condizioni al contorno nel limite termodinamico.Viene proposta infine una spiegazione qualitativa del comportamento microscopico, attraverso la lunghezza di correlazione.
Nella seconda parte viene trattato il caso a due dimensioni. Inizialmente viene determinata la temperatura critica per reticoli quadrati, attraverso il riconoscimento della presenza di una relazione di dualita tra l'espansione per alte e per basse temperature della funzione di partizione. Successivamente si fornisce la soluzione esatta attraverso una versione modificata del procedimento, originariamente ideato da L.Onsager, di cui e proposta una traccia della dimostrazione.
Viene infine brevemente discussa l'importanza che questo risultato ebbe storicamente nella fisica delle transizioni di fase.
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Paula, Gilberto Luiz de Souza. "Modelos de Ising dinamico." reponame:Repositório Institucional da UFSC, 1994. http://repositorio.ufsc.br/xmlui/handle/123456789/76170.
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Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro de Ciencias Fisicas e MatematicasMade available in DSpace on 2012-10-16T07:56:41Z (GMT). No. of bitstreams: 0Bitstream added on 2016-01-08T18:59:08Z : No. of bitstreams: 1 96497.pdf: 1094541 bytes, checksum: cb7b6164b0d0951706f97e2c507d68c1 (MD5)
Nesta dissertação estudamos o comportamento dinâmico de dois modelos ferromagnéticos através da equação mestra. No primeiro deles consideramos o modelo de Ising num gradiente de temperatura e determinamos os estados estacionários através das prescrições de Metropolis e Glauber. Mostramos que na ausência de correlações os estados estacionários são diferentes, enquanto que levando-se em conta correlações entre primeiros vizinhos os estados estacionários são os mesmos. No segundo modelo, determinamos o diagrama de fases do modelo de Ising dinâmico em um campo aleatório na situação estacionária. Mostramos que os estados estacionários coincidem com os de equilíbrio para todo o espaço de parâmetros com exceção das vizinhanças das transições de primeira ordem.
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Iberti, Massimo. "Ising-Kac models near criticality." Thesis, University of Warwick, 2018. http://wrap.warwick.ac.uk/109480/.
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The present thesis consists in an investigation around the result shown by H. Weber and J.C. Mourrat in [MW17a], where the authors proved that the fluctuation of an Ising models with Kac interaction under a Glauber-type dynamic on a periodic two-dimensional discrete torus near criticality converge to the solution of the Stochastic Quantization Equation Φ 4/2. In Chapter 2, starting from a conjecture in [SW16], we show the robustness of the method proving the convergence in law of the fluctuation field for a general class of ferromagnetic spin models with Kac interaction undergoing a Glauber dynamic near critical temperature. We show that the limiting law solves an SPDE that depends heavily on the state space of the spin system and, as a consequence of our method, we construct a spin system whose dynamical fluctuation field converges to Φ 2n/2. In Chapter 3 we apply an idea by H. Weber and P. Tsatsoulis employed in [TW16], to show tightness for the sequence of magnetization fluctuation fields of the Ising-Kac model on a periodic two-dimensional discrete torus near criticality and characterise the law of the limit as the Φ 4/2 measure on the torus. This result is not an immediate consequence of [MW17a]. In Chapter 4 we study the fluctuations of the magnetization field of the Ising-Kac model under the Kawasaki dynamic at criticality in a one dimensional discrete torus, and we provide some evidence towards the convergence in law to the solution to the Stochastic Cahn-Hilliard equation.
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Dikkala, Sai Nishanth. "Testing properties of Ising models." Thesis, Massachusetts Institute of Technology, 2017. http://hdl.handle.net/1721.1/108844.
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Thesis: S.M., Massachusetts Institute of Technology, Department of Electrical Engineering and Computer Science, 2017.This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.
Cataloged from student-submitted PDF version of thesis.
Includes bibliographical references (pages 99-102).
Given samples from an unknown multivariate distribution p, is it possible to distinguish whether p is the product of its marginals versus p being [epsilon]-far from every product distribution? Similarly, is it possible to distinguish whether p equals a given distribution q versus p and q being [epsilon]-far from each other? These problems of testing independence and goodness-of- fit have received enormous attention in statistics, information theory, and theoretical computer science, with sample-optimal algorithms known in several interesting regimes of parameters [14, 15, 17, 18, 20]. Unfortunately, it has also been understood that these problems become intractable in large dimensions, necessitating exponential sample complexity. Motivated by the exponential lower bounds for general distributions as well as the ubiquity of Markov Random Fields (MRFs) in the modeling of high-dimensional distributions, we study distribution testing on structured multivariate distributions, and in particular the prototypical example of MRFs: the Ising Model. We demonstrate that, in this structured setting, we can avoid the curse of dimensionality, obtaining sample and time efficient testers for independence and goodness-of-fit which yield a sample complexity of poly(n)=[epsilon]2 on n-node Ising models. Along the way, we develop new tools for establishing concentration of functions of the Ising model, using the exchangeable pairs framework developed by Chatterjee [27], and improving upon this framework. In particular, we prove tighter concentration results for multi-linear functions of the Ising model in the high-temperature regime. We also prove a lower bound of n=[epsilon] on the sample complexity required for testing uniformity and independence of n-node Ising models.
by Sai Nishanth Dikkala.
S.M.
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Silva, Romero Tavares da. "ALEATORIEDADE EM MODELOS DE ISING." Universidade de São Paulo, 1993. http://www.teses.usp.br/teses/disponiveis/43/43133/tde-22052012-133450/.
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Na primeira parte deste trabalho propomos uma aproximacão de campo médio dinâmico para analisar modelos de Ising com elementos e aleatoriedade definidos por distribuicões de probabilidades discretas. Analisamos o modelo com campo aleatório (S = 1/2), com interações aleatórias (S = 1/2), com diluição de sítios (S = 1/2) e com anisotropia aleatória (S = 1), obtendo os respectivos diagramas de fases. Na segunda parte analisamos modelos de vidros de spin (S= 3/2) com anisotropia de campo cristalino. Estudamos o modelo de van Hemmen, e o modelo clássico à la Sherrington e Kirkpatrick dentro do esquema de réplicas simétricas, obtendo os diagramas de fases correspondentes.In the first part of this work we propose a dynamical mean field approximation to analyse Ising models with elements of randomnss, defined by discret probability functions. We have analysed the random field model (S = 1/2); the random bond model (S = 1/2); the site diluted model (S = 3/2) and the random crystal field model (S = 1), obtaining the respective phase diagrams. In the second part we have analysed spinglass models (S = 3/2) in the presence of a crystal field. We have studied the van Hemmen and the classic spin glass model à la Sherrington and Kirkpatrick, using replica symmetric scheme, to obtain the corresponding phase diagrams.
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Tamashiro, Mário Noboru. "Modelos de Ising com Competição." Universidade de São Paulo, 1996. http://www.teses.usp.br/teses/disponiveis/43/43133/tde-28022014-163442/.
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Neste trabalho consideramos três modelos de Ising com competição: que é gerada por acoplamentos dinâmicos de caráter antagônicos, pela própria geometria da rede subjacente ou através de interações de periodicidades uniaxiais competitivas e elementos de desordem. O primeiro modelo, no qual as técnicas de mecânica estatística de equilíbrio não se aplicam, consiste numa rede neural atratora completamente conectada com acoplamentos assimétricos armazenando p = 2 padrões, cuja evolução temporal pode ser descrita (no caso de atualização síncrona) por um mapeamento dissipativo bidimensional. O segundo modelo se refere ao problema clássico do antiferromagneto de Ising na rede triangular na presença de um campo magnético uniforme, investigado através de diversas aproximações - em particular, através de uma aproximação de Bethe-Peierls considerando três sub-redes interpenetrantes equivalentes. O terceiro modelo, introduzido para investigar o efeito de uma desordem congelada em um sistema magnético modulado, é definido pelo modelo ANNNI em um campo aleatório. Inicialmente consideramos um análogo deste modelo na árvore de Cayley, no limite de coordenação infinita, que pode ser formulado em termos de um mapeamento dissipativo bidimensional. A seguir, consideramos uma versão de campo médio em uma rede cúbica simples. que permite uma análise das superfícies de transição de primeira ordem e das linhas tricriticas.In this work we consider three Ising models with competition: which is generated by dynamical couplings of antagonistic character, by the geometry of the underlying lattice, or by interactions of competitive uniaxial periodicities and disorder elements. The first model, for which equilibrium statistical mechanics techniques do not apply, consists in a fully connected attractor neural network storing p = 2 patterns, whose temporal evolution can be described (in the case of synchronous updating) by a two-dimensional dissipative mapping. The second model refers to the classic problem of the Ising antiferromagnet on the triangular lattice in the presence of a uniform magnetic field, which is investigated by various approximations - in particular, by a Bethe-Peierls approximation considering three interpenetrating equivalent sublattices. The third model, introduced to investigate the effects of quenched disorder in a modulated magnetic system, is defined by the ANNNI model in a random field. Initially we consider an analogous of this model on a Cayley tree, in the infinite-coordination limit, which can be formulated in terms of a two-dimensional dissipative mapping. Next, we consider a mean-field version on a simple cubic lattice, which allows for an analysis of the first-order transition surfaces and tricritical lines.
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Marsolais, Annette M. "The Equivalence Between the Kitaev, the Transverse Quantum Ising Model and the Classical Ising Model." University of Akron / OhioLINK, 2021. http://rave.ohiolink.edu/etdc/view?acc_num=akron1619792923386843.
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Lacasse, Martin Daniel. "Exact dynamics of small Ising systems." Thesis, McGill University, 1994. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=28814.
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Monte Carlo simulations used for representing dynamical physical phenomena are studied in terms of a Markov chain operator acting on the probability distrubution of the states of a given system. The most general transition rule satisfying detailed balance and leading to a canonical ensemble probability distribution is derived using this formalism. The explicit Markov chain representing the two most commonly used canonical algorithms, the Metropolis and the Glauber transition rules, is then constructed and numerically applied to the states of an Ising model. The dynamical properties of the system are studied for each algorithm. Various measures, such as time-time correlation functions, are estimated for different system sizes and finite-size sealing is applied. In particular, the effects of the transition rule on the dynamic critical exponent is investigated.We at first examine one- and two-dimensional systems using periodic boundary conditions. Systems with free boundary conditions were also studied, and their results were equivalent with respect to the dynamical critical properties of the system. The effects of conservation laws were also investigated and both conserved and non-conserved systems were studied. Both local and non-local spin-exchange dynamics were investigated for conserved systems. Finally, our approach was used to simulate quenches on small systems.
This method is them used to analyze phenomenological transformations done by dynamical renormalization-group (RG) methods. It is found that, when the RG transformation is linear in probability space, there exists a corresponding Markov chain generating the time sequence of the renormalized systems. An example is given for the one-dimensional Ising model.
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Smith, Thomas H. R. "Driven interfaces in the Ising model." Thesis, University of Bristol, 2010. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.535182.
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Gray, Sean. "Bootstrapping the Three-dimensional Ising Model." Thesis, Uppsala universitet, Teoretisk fysik, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-322146.
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This thesis begins with the fundamentals of conformal field theory in three dimensions. The general properties of the conformal bootstrap are then reviewed. The three-dimensional Ising model is presented from the perspective of the renormalization group, after which the conformal field theory aspect at the critical point is discussed. Finally, the bootstrap programme is applied to the three-dimensional Ising model using numerical techniques, and the results analysed.
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Ridderstolpe, Ludwig. "Exact Solutions of the Ising Model." Thesis, Uppsala universitet, Teoretisk astrofysik, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-329081.
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This report presents the general Ising model and its basic assumptions. This study aims to, from diagonalization of the Transfer Matrix, obtain the Helmholtz free energy and the exclusion of a phase transition for the one-dimensional Ising model under an external magnetic field. Furthermore from establishing the commutation relations of the Transfer matrices and using the Kramers-Wannier duality one finds the free energy and the presence of a phase transition for the square-lattice Ising model.
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Milanesi, Paolo. "Sur la métastabilité de la dynamique de Glauber." Thesis, Aix-Marseille, 2018. http://www.theses.fr/2018AIXM0663.
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Dans cette thèse on étudie le comportement métastable de la dynamique de Glauber pour le modèle d'Ising en dimension deux, dans le régime où la température est fixée à une valeur sous critique et le champ magnétique extérieur est très petit. En volume infini, ce modèle a été étudié par Schonmann et Shlosman qui montrent le lien existant entre le temps moyen de transition et la tension de surface intégrée de la forme de Wulff. Cependant, l'exponentialité du temps de transition, déjà en volume fini, reste un problème ouvert. Dans cette thèse on adresse cette question. On donne d'abord un cadre théorique pour traiter ces dynamiques markoviennes métastable pour lesquelles le support de la mesure métastable n'est pas réductible à une seule configuration. Nos techniques permettent d'obtenir la loi exponentielle du temps de transition ainsi que d'estimer sa moyenne et le temps de relaxation de la dynamique. Dans la deuxième partie de notre travail on s'adresse à la dynamique de Glauber métastable; on donne les bonnes définitions des ensemble métastable et stable et on estime les temps de relaxation des dynamiques restreintes à ces deux ensembles. Cela nous permet de mettre en œuvre les techniques étudiées dans la première partie du travail. Nos résultats sont vrais pour toute température sous critique et pour une grande classe de mesure de départIn this thesis we study the metastable behavior of the Glauber dynamics for the two-dimensional Ising model in the regime where the temperature is kept fixed at some subcritical value and the external magnetic field is vanishing.In the infinite volume regime, this model has been studied by Schonmann and Shlosman who show the connection between the mean transition time and the integrated surface tension of the Wulff shape. However, the exponentiality of the transition time, already in the finite volume case, is still an open problem. In this thesis we address this question.First, we give a theoretical framework to deal with metastable markovian dynamics such that the support of the metastable measure is not reducible to a single configuration. Our techniques allow to get the exponential law of the transition time as well as to estimate its mean and the relaxation time of the dynamics. In the second part of the thesis we address the metastable Glauber dynamics; we give suitable definitions of the metastable and the stable sets and we estimate the relaxation time of the dynamics restricted to these two sets. In doing so, we are in good shape to exploit the techniques studied in the first part of our work. Our results hold true for any subcritical temperature and a wide class of starting measures
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Sakellariou, Jason. "Inverse inference in the asymmetric Ising model." Phd thesis, Université Paris Sud - Paris XI, 2013. http://tel.archives-ouvertes.fr/tel-00869738.
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Recent experimental techniques in biology made possible the acquisition of overwhelming amounts of data concerning complex biological networks, such as neural networks, gene regulation networks and protein-protein interaction networks. These techniques are able to record states of individual components of such networks (neurons, genes, proteins) for a large number of configurations. However, the most biologically relevantinformation lies in their connectivity and in the way their components interact, information that these techniques aren't able to record directly. The aim of this thesis is to study statistical methods for inferring information about the connectivity of complex networks starting from experimental data. The subject is approached from a statistical physics point of view drawing from the arsenal of methods developed in the study of spin glasses. Spin-glasses are prototypes of networks of discrete variables interacting in a complex way and are widely used to model biological networks. After an introduction of the models used and a discussion on the biological motivation of the thesis, all known methods of network inference are introduced and analysed from the point of view of their performance. Then, in the third part of the thesis, a new method is proposed which relies in the remark that the interactions in biology are not necessarily symmetric (i.e. the interaction from node A to node B is not the same as the one from B to A). It is shown that this assumption leads to methods that are both exact and efficient. This means that the interactions can be computed exactly, given a sufficient amount of data, and in a reasonable amount of time. This is an important original contribution since no other method is known to be both exact and efficient.
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Hausmann, Johannes. "Statistical mechanics of strongly driven Ising systems." [S.l.] : [s.n.], 2001. http://deposit.ddb.de/cgi-bin/dokserv?idn=963559311.
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Zhang, Xingjun. "Critical Properties of Small World Ising Models." MSSTATE, 2005. http://sun.library.msstate.edu/ETD-db/theses/available/etd-11102005-220554/.
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In this dissertation, the critical scaling behavior of magnetic Ising models with long range interactions is studied. These long range interactions, when imposed in addition to interactions on a regular lattice, lead to small-world graphs. By using large-scale Monte Carlo simulations, together with finite-size scaling, the critical behavior of a number of different models is obtained. The Ising models studied in this dissertation include the z-model introduced by Scalettar, standard small-world bonds superimposed on a square lattice, and physical small-world bonds superimposed on a square lattice. From the scaling results of the Binder 4th order cumulant, the order parameter, and the susceptibility, the long-range interaction is found to drive the systems behavior from Ising-like to mean field, and drive the critical point to a higher temperature. It is concluded that with a large amount of strong long-range connections (compared to the interactions on regular lattices), so the long-range connection density is non-vanishing, systems have mean field behavior. With a weak interaction that vanishes for an infinite system size or for vanishing density of long-range connections the systems have Ising-like critical behavior. The crossover from Ising-like to mean-field behavior due to weak long-range interactions for systems with a large amount of long-range connections is also discussed. These results provide further evidence to support the existence of physical (quasi-) small-world nanomaterials.
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Cornell, Stephen John. "Studies of freezing in kinetic Ising models." Thesis, University of Oxford, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.257825.
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Brown, A. S. "Critical phenomena in the Random Ising Model." Thesis, University of Edinburgh, 1986. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.370906.
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Pomponio, Octavio. "Transizioni di fase nel modello di Ising." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2015. http://amslaurea.unibo.it/9562/.
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L'elaborato tratta le transizioni di fase nel modello di Ising, usato per descrivere i sistemi magnetici. Tramite l'argomento di Landau viene introdotto il problema della dimensionalità per l'esistenza di una fase ferromagnetica. Con il sistema di un gas forzato su reticolo viene presentato il carattere universale dei fenomeni critici per mezzo degli esponenti critici. Viene poi risolto in modo esatto il modello unidimensionale, che non prevede una fase ferromagnetica. Per sistemi a dimensionali maggiore viene introdotto il metodo dell'approssimazione di campo medio. Viene infine determinato il valore della temperatura critica per reticoli planari quadrati e di questi viene mostrata la soluzione esatta di Lars Onsager.
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Dinóla, Isabel Cristina Souza. "Super Antiferromagneto de Ising com campo uniforme." Universidade Federal do Amazonas, 2009. http://tede.ufam.edu.br/handle/tede/4543.
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CAPES - Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
The phase diagram of the two-dimensional super-antiferromagnetic (SAF) Ising model in the presence of a magnetic field is investigated within the framework of a real-space renormalization-group approximation. We consider nearest neighbor ferromagnetic interactions along the x(y) direction and antiferromagnetic interactions in the y(x) direction. The system presents a ordered phase at low temperatures and zero fields. The presence of a magnetic field induces a competition between the energy interactions of the SAF Hamiltonian. The resulting behavior has been a matter of controversy in the last years. We depicted the main results in the magnetic field versus temperature phase diagram. A second-order transition line separates a super-antiferromagnetic phase from a field induced ferromagnetic phase. Our study reveals that the magnetic field induces a phase transition at a single temperature value, thus, we did not find any evidence of reentrant behavior as claimed by some authors.
Utilizamos uma técnica de grupo de renormalização no espaço real para estudar o sistema super antiferromagneto (SAF) de Ising bidimensional sob a influência de um campo magnético externo. Neste modelo as interações de primeiros vizinhos na direção x são ferromagnéticas e na direção y são antiferromagnéticas. Este sistema apresenta uma fase ordenada, para baixas temperaturas e campos nulos, com uma estrutura de linhas ferromagnéticas e colunas antiferromagnéticas. A aplicação do campo magnético induz uma competição entre as energias de interação do modelo e o comportamento resultante desta competição tem sido objeto de estudo e gerado algumas controvérsias nos últimos anos. Na presença do campo magnético observa-se, além da fase SAF, a fase ferromagnética induzida pelo campo (FIC). Apresentamos neste trabalho o diagrama de fases completo do sistema SAF no plano temperatura versus campo magnético. O diagrama de fases obtido mostra uma linha de transição de segunda ordem separando a fase SAF da fase FIC. Nossos resultados contrariam resultados anteriores que preveêm um comportamento reentrante no diagrama de fases do sistema SAF.
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Feng, Shuangtong. "Efficient Parallelization of 2D Ising Spin Systems." Thesis, Virginia Tech, 2001. http://hdl.handle.net/10919/36263.
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The problem of efficient parallelization of 2D Ising spin systems requires realistic algorithmic design and implementation based on an understanding of issues from computer science and statistical physics. In this work, we not only consider fundamental parallel computing issues but also ensure that the major constraints and criteria of 2D Ising spin systems are incorporated into our study. This realism in both parallel computation and statistical physics has rarely been reflected in previous research for this problem.
In this thesis,we designed and implemented a variety of parallel algorithms for both sweep spin selection and random spin selection. We analyzed our parallel algorithms on a portable and general parallel machine model, namely the LogP model. We were able to obtain rigorous theoretical run-times on LogP for all the parallel algorithms. Moreover, a guiding equation was derived for choosing data layouts (blocked vs. stripped) for sweep spin selection. In regards to random spin selection, we were able to develop parallel algorithms with efficient communication schemes. We analyzed randomness of our schemes using statistical methods and provided comparisons between the different schemes. Furthermore, algorithms were implemented and performance data gathered and analyzed in order to determine further design issues and validate theoretical analysis.
Master of Science