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Relevant bibliographies by topics / Categorical spectral theory

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Academic literature on the topic 'Categorical spectral theory'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Categorical spectral theory"

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Ben-Zvi, David, David Nadler, and Anatoly Preygel. "A spectral incarnation of affine character sheaves." Compositio Mathematica 153, no. 9 (2017): 1908–44. http://dx.doi.org/10.1112/s0010437x17007278.

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We present a Langlands dual realization of the putative category of affine character sheaves. Namely, we calculate the categorical center and trace (also known as the Drinfeld center and trace, or categorical Hochschild cohomology and homology) of the affine Hecke category starting from its spectral presentation. The resulting categories comprise coherent sheaves on the commuting stack of local systems on the two-torus satisfying prescribed support conditions, in particular singular support conditions, which appear in recent advances in the geometric Langlands program. The key technical tools

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Jamotton, Charlotte, Donatien Hainaut, and Thomas Hames. "Insurance Analytics with Clustering Techniques." Risks 12, no. 9 (2024): 141. http://dx.doi.org/10.3390/risks12090141.

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The K-means algorithm and its variants are well-known clustering techniques. In actuarial applications, these partitioning methods can identify clusters of policies with similar attributes. The resulting partitions provide an actuarial framework for creating maps of dominant risks and unsupervised pricing grids. This research article aims to adapt well-established clustering methods to complex insurance datasets containing both categorical and numerical variables. To achieve this, we propose a novel approach based on Burt distance. We begin by reviewing the K-means algorithm to establish the f

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Lin, Yen-Hwei. "PHONOLOGICAL KNOWLEDGE: CONCEPTUAL AND EMPIRICAL ISSUES. Noel Burton-Roberts, Philip Carr, and Gerard Docherty (Eds.). Oxford: Oxford University Press, 2001. Pp. x + 352. $85.00 cloth, $35.00 paper." Studies in Second Language Acquisition 25, no. 3 (2003): 460–61. http://dx.doi.org/10.1017/s0272263103230199.

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This book is a collection of papers dealing with the philosophical, conceptual, and empirical foundations of phonology, its position and relation with respect to syntax and phonetics in the theory of language, and the nature and acquisition of phonological knowledge. The introductory chapter by the editors provides a comprehensive discussion of the main themes presented in the following 11 chapters, in which diverse perspectives are represented. Bromberger and Halle open with a discussion of phonology within the context of the philosophy of language. Some chapters take a highly formal view of

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Hebestreit, Fabian, and Steffen Sagave. "Homotopical and operator algebraic twisted K-theory." Mathematische Annalen 378, no. 3-4 (2020): 1021–59. http://dx.doi.org/10.1007/s00208-020-02066-6.

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Abstract Using the framework for multiplicative parametrized homotopy theory introduced in joint work with C. Schlichtkrull, we produce a multiplicative comparison between the homotopical and operator algebraic constructions of twisted K-theory, both in the real and complex case. We also improve several comparison results about twisted K-theory of $$C^*$$ C ∗ -algebras to include multiplicative structures. Our results can also be interpreted in the $$\infty $$ ∞ -categorical setup for parametrized spectra.

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Yeshkeyev, A. R., A. R. Yarullina, and S. M. Amanbekov. "On categoricity questions for universal unars and undirected graphs under semantic Jonsson quasivariety." BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS 111, no. 3 (2023): 165–80. http://dx.doi.org/10.31489/2023m3/165-180.

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The article is devoted to the study of semantic Jonsson quasivarieties of universal unars and undirected graphs. The first section of the article consists of basic necessary concepts from Jonsson model theory. The following two sections are results of using new notions of semantic Jonsson quasivariety of Robinson unars JCU and semantic Jonsson quasivariety of Robinson undirected graphs JCG, its elementary theory and semantic model. In order to prove two main results of the paper, Robinson spectra RSp(JCU) and RSp(JCG) and their partition onto equivalence classes [∆]U and [∆]G by cosemanticness

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Guillou, Bertrand J., J. Peter May, Mona Merling, and Angélica M. Osorno. "SYMMETRIC MONOIDAL G-CATEGORIES AND THEIR STRICTIFICATION." Quarterly Journal of Mathematics 71, no. 1 (2019): 207–46. http://dx.doi.org/10.1093/qmathj/haz034.

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Abstract We give an operadic definition of a genuine symmetric monoidal $G$-category, and we prove that its classifying space is a genuine $E_\infty $$G$-space. We do this by developing some very general categorical coherence theory. We combine results of Corner and Gurski, Power and Lack to develop a strictification theory for pseudoalgebras over operads and monads. It specializes to strictify genuine symmetric monoidal $G$-categories to genuine permutative $G$-categories. All of our work takes place in a general internal categorical framework that has many quite different specializations. Wh

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Mahanta, Snigdhayan. "Noncommutative stable homotopy and stable infinity categories." Journal of Topology and Analysis 07, no. 01 (2014): 135–65. http://dx.doi.org/10.1142/s1793525315500077.

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The noncommutative stable homotopy category NSH is a triangulated category that is the universal receptacle for triangulated homology theories on separable C*-algebras. We show that the triangulated category NSH is topological as defined by Schwede using the formalism of (stable) infinity categories. More precisely, we construct a stable presentable infinity category of noncommutative spectra and show that NSHop sits inside its homotopy category as a full triangulated subcategory, from which the above result can be deduced. We also introduce a presentable infinity category of noncommutative po

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Yeshkeyev, A. R., I. O. Tungushbayeva, and S. M. Amanbekov. "Existentially prime Jonsson quasivarieties and their Jonsson spectra." BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS 108, no. 4 (2022): 117–24. http://dx.doi.org/10.31489/2022m4/117-124.

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This article is devoted to the study of Jonsson quasivarieties in a signature enriched with new predicate and constant symbols. New concepts of semantic Jonsson quasivariety and fragment-conservativeness of the center of the Jonsson theory are introduced. The cosemanticness classes of the Jonsson spectrum constructed for a semantic Jonsson quasvariety are considered. In this case, the Kaiser hull of the semantic Jonsson quasivariety is assumed to be existentially prime. By constructing a central type for classes of theories from the Jonsson spectrum, the following results are formulated and pr

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Jeeves, Malcolm A. "Why Science and Faith Belong Together: Stories of Mutual Enrichment." Perspectives on Science and Christian Faith 74, no. 1 (2022): 58–59. http://dx.doi.org/10.56315/pscf3-22jeeves.

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WHY SCIENCE AND FAITH BELONG TOGETHER: Stories of Mutual Enrichment by Malcolm A. Jeeves. Eugene, OR: Cascade Books, 2021. 294 pages. Paperback; $35.00. ISBN: 9781725286191. *Many sense tension between modern science and Christian faith. Malcolm Jeeves, however, intends to show how the two are quite complementary. As Emeritus Professor (University of St. Andrews), past-President of the Royal Society of Edinburgh, Fellow of both the Academy of Medical Sciences and the British Psychological Society, and a prolific author in the arena of science and faith, he is supremely qualified to write this

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Emmerson, Parker Yaohushuason. "Foundations of Categorical-Homotopical Operator Algebras, Daisy Network Dynamics, and Anterolateral Spectral Algebra." Journal of Liberated Mathematics, May 25, 2025. https://doi.org/10.5281/zenodo.15509974.

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This paper introduces and formalizes six novel mathematical frameworks synthesizing categorical, homotopical, operator-algebraic, and spectral constructs with emergent symmetry and criticality. We define \emph{ultranaut operators} as higher-categorical homotopy-enriched transitions; construct spectral decompositions over $\Sigma$-enriched matrices; develop integral operator algebra formalism; introduce the \emph{daisy network}, a self-similar symmetry-generating topological graph; analyze paradoxical scale-interaction criticality ($1 \ll Q \ll 1$); and establish \emph{anterolateral spectral al

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Books on the topic "Categorical spectral theory"

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Pantev, Tony. Stacks and catetories in geometry, topology, and algebra: CATS4 Conference Higher Categorical Structures and Their Interactions with Algebraic Geometry, Algebraic Topology and Algebra, July 2-7, 2012, CIRM, Luminy, France. American Mathematical Society, 2015.

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Caramello, Olivia. Some Applications. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198758914.003.0012.

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This chapter describes some applications of the theory developed in the previous chapters in a variety of different mathematical contexts. The main methodology used to generate such applications is the ‘bridge technique’ presented in Chapter 2. The discussed topics include restrictions of Morita equivalences to quotients of the two theories involved, give a solution to a prozblem of Lawvere concerning the boundary operator on subtoposes, establish syntax-semantics ‘bridges’ for quotients of theories of presheaf type, present topos-theoretic interpretations and generalizations of Fraïssé’s theo

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Taylor, Eric. Developmental Neuropsychiatry. Oxford University Press, 2021. http://dx.doi.org/10.1093/med/9780198827801.001.0001.

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Neurodevelopmental disorders are a group of conditions involving alterations of behaviour, thinking, and emotions. They have onsets in early childhood, persistence into adult life, and high rates of altered cognitive and neurological function. They are frequent reasons for referral to psychiatry, paediatrics, and clinical psychology and often require team approaches to meet a variety of needs for service. This book includes accounts of the typical development and possible pathology of key functions whose alterations can underlie problems of mental development: motor function, attention, memory

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Book chapters on the topic "Categorical spectral theory"

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Pillay, Anand. "Unidimensional theories." In Geometric Stability Theory. Oxford University PressOxford, 1996. http://dx.doi.org/10.1093/oso/9780198534372.003.0007.

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Abstract Zilber’s theorem (proved in section 4 of Chapter 2) played a fundamental role in proving ‘global’ results about totally categorical theories and/or ω-categorical, ω-stable theories. Similarly the information gained in Chapters 4 and 5 about the structure of locally modular minimal types (together with the strongly minimal/locally modular dichotomy theorem from section 3 of Chapter 2) can be used to help prove ‘global’ results about theories of finite U-rank. The theorems we prove in this chapter belong to ‘classical’ classification theory, that is concern the number of models in certa

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Sibole, Jamie L. "Communication and Competence." In Advising Preservice Teachers Through Narratives From Students With Disabilities. IGI Global, 2022. http://dx.doi.org/10.4018/978-1-7998-7359-4.ch005.

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Many factors are important when planning and implementing strategies for teaching in the multiple disability/cross-categorical classroom. No two students' needs are alike; however, two areas are invariably a topic of discussion and lead many of the decisions being made in the individual's educational program: communication and presumed competence. The following chapter includes student narratives for a child with multiple disabilities as well as a child with autism spectrum disorder. Each child exhibits a significant communication delay and is considered to be non-verbal. The narratives along

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Krupa, Oleksandr. "THE «STATE SECURITY» CONCEPT COMPONENTS IN THE DEVELOPMENT OF MECHANISMS FOR ITS PROVIDING IN UKRAINE." In Transformation of the economic system in the context of information technology challenges. Publishing House “Baltija Publishing”, 2024. http://dx.doi.org/10.30525/978-9934-26-437-5-3.

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Security issues are one of the central in any sphere of human activity and in general in the aspect of ensuring the humanity existence and development, which determines the presence of scientists' persistent interest in security issues over the centuries. Not an exception is the study of the issues of state security, the basic foundations of which have been substantiated since the time of the first state formations. The modern spectrum of research into the issues of state security is constantly expanding and being supplemented with new aspects and directions due to the development of societies

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Conference papers on the topic "Categorical spectral theory"

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Balekelayi, Ngandu, and Solomon Tesfamariam. "Time Dependent Reliability Analysis for Oil and Gas Pipelines: A Bayesian Spectral Analysis-Based Deterioration Model." In 2020 13th International Pipeline Conference. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/ipc2020-9284.

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Abstract Oil and gas pipelines are essential infrastructures that sustain the economy of modern society. They are designed for continuous and reliable operations over their service lives. Once installed, however, their reliability is affected by several threats among which external corrosion plays a significant role. Corrosion-based pit depth growth reduces the wall thickness over time that consequently affect the mechanical strength and the hydraulic performance of the pipeline. Pipeline utility managers rely on the corrosion growth rate models to plan their maintenance, rehabilitation and/or

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Prossinger, Hermann, Nikola Geciova, Miroslav Horvath, Jakub Binter, and Eliska Cempirkova. "How the Ones in Need Solve Financial Problems in Times of Crisis? The Implication for Government Support Programs." In 10th International Conference on Human Interaction and Emerging Technologies (IHIET 2023). AHFE International, 2023. http://dx.doi.org/10.54941/ahfe1004098.

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After the COVID-19 pandemic ended the war between Ukraine and Russia resulted in further price increases and a decrease in the quality of living of many Europeans. Many groups of citizens must be able to survive on meagre resources — despite being located thousands of kilometers from the war-zone. The two most affected groups are senior citizens and single parents who oftentimes do not have sufficient savings. The government provides financial support (e.g. housing allowance) to those in need after their successfully filling out application forms and proving their crisis situations. These are

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Bilò, Davide, Vittorio Bilò, Michelle Döring, Pascal Lenzner, Louise Molitor, and Jonas Schmidt. "Schelling Games with Continuous Types." In Thirty-Second International Joint Conference on Artificial Intelligence {IJCAI-23}. International Joint Conferences on Artificial Intelligence Organization, 2023. http://dx.doi.org/10.24963/ijcai.2023/280.

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In most major cities and urban areas, residents form homogeneous neighborhoods along ethnic or socioeconomic lines. This phenomenon is widely known as residential segregation and has been studied extensively. Fifty years ago, Schelling proposed a landmark model that explains residential segregation in an elegant agent-based way. A recent stream of papers analyzed Schelling's model using game-theoretic approaches. However, all these works considered models with a given number of discrete types modeling different ethnic groups. We focus on segregation caused by non-categorical attributes, such a

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Reports on the topic "Categorical spectral theory"

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Lunn, Pete, Marek Bohacek, Jason Somerville, Áine Ní Choisdealbha, and Féidhlim McGowan. PRICE Lab: An Investigation of Consumers’ Capabilities with Complex Products. ESRI, 2016. https://doi.org/10.26504/bkmnext306.

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Executive Summary This report describes a series of experiments carried out by PRICE Lab, a research programme at the Economic and Social Research Institute (ESRI) jointly funded by the Central Bank of Ireland, the Commission for Energy Regulation, the Competition and Consumer Protection Commission and the Commission for Communications Regulation. The experiments were conducted with samples of Irish consumers aged 18-70 years and were designed to answer the following general research question: At what point do products become too complex for consumers to choose accurately between the good ones

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