Relevant bibliographies by topics / Lattice correspondence

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Lattice correspondence'

Author: Grafiati
Published: 4 June 2021
Last updated: 3 February 2022

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Journal articles on the topic "Lattice correspondence"

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Luo, Congwen. "S-Lattice Congruences of S-Lattices." Algebra Colloquium 19, no. 03 (2012): 465–72. http://dx.doi.org/10.1142/s1005386712000326.

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In this paper, the S-lattices are introduced as a representation of lattice-ordered monoids. The smallest S-lattice congruence induced by a relation on an S-lattice is characterized and the correspondence between the S-lattice congruences and S-ideals in an S-distributive lattice is discussed. These generalize some recent results of lattices and lattice-ordered semigroups.
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Bouc, Serge, and Jacques Thévenaz. "Simple and projective correspondence functors." Representation Theory of the American Mathematical Society 25, no. 9 (2021): 224–64. http://dx.doi.org/10.1090/ert/564.

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A correspondence functor is a functor from the category of finite sets and correspondences to the category of k k -modules, where k k is a commutative ring. We determine exactly which simple correspondence functors are projective. We also determine which simple modules are projective for the algebra of all relations on a finite set. Moreover, we analyze the occurrence of such simple projective functors inside the correspondence functor F F associated with a finite lattice and we deduce a direct sum decomposition of F F .
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Wei, Wei, Yan Qiang, and Jing Zhang. "A Bijection between Lattice-Valued Filters and Lattice-Valued Congruences in Residuated Lattices." Mathematical Problems in Engineering 2013 (2013): 1–6. http://dx.doi.org/10.1155/2013/908623.

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The aim of this paper is to study relations between lattice-valued filters and lattice-valued congruences in residuated lattices. We introduce a new definition of congruences which just depends on the meet∧and the residuum→. Then it is shown that each of these congruences is automatically a universal-algebra-congruence. Also, lattice-valued filters and lattice-valued congruences are studied, and it is shown that there is a one-to-one correspondence between the set of all (lattice-valued) filters and the set of all (lattice-valued) congruences.
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Vlad, Carmen D. "Normal characterizations of lattices." International Journal of Mathematics and Mathematical Sciences 28, no. 10 (2001): 561–70. http://dx.doi.org/10.1155/s0161171201007256.

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LetXbe an arbitrary nonempty set andℒa lattice of subsets ofXsuch that∅,X∈ℒ. Let𝒜(ℒ)denote the algebra generated byℒandI(ℒ)denote those nontrivial, zero-one valued, finitely additive measures on𝒜(ℒ). In this paper, we discuss some of the normal characterizations of lattices in terms of the associated lattice regular measures, filters and outer measures. We consider the interplay between normal lattices, regularity orσ-smoothness properties of measures, lattice topological properties and filter correspondence. Finally, we start a study of slightly, mildly and strongly normal lattices and expres
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GHORBANI, SHOKOOFEH. "INTUITIONISTIC FUZZY FILTERS OF RESIDUATED LATTICES." New Mathematics and Natural Computation 07, no. 03 (2011): 499–513. http://dx.doi.org/10.1142/s1793005711002049.

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In this paper, the concept of intuitionistic fuzzy sets is applied to residuated lattices. The notion of intuitionistic fuzzy filters of a residuated lattice is introduced and some related properties are investigated. The characterizations of intuitionistic fuzzy filters are obtained. We show that the set of all the intuitionistic fuzzy filters of a residuated lattice forms a complete lattice and we find the distributive sublattices of it. Finally, the correspondence theorem for intuitionistic fuzzy filters is established.
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Yagi, Junya. "Branes and integrable lattice models." Modern Physics Letters A 32, no. 03 (2017): 1730003. http://dx.doi.org/10.1142/s0217732317300038.

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This is a brief review of my work on the correspondence between four-dimensional [Formula: see text] supersymmetric field theories realized by brane tilings and two-dimensional integrable lattice models. I explain how to construct integrable lattice models from extended operators in partially topological quantum field theories, and elucidate the correspondence as an application of this construction.
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KAVALOV, AL R., and R. L. MKRTCHYAN. "THE LATTICE ABELIAN CHERN-SIMONS GAUGE THEORY." International Journal of Modern Physics A 06, no. 22 (1991): 3919–31. http://dx.doi.org/10.1142/s0217751x91001908.

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Some properties of the previously proposed lattice version of the Abelian Chern-Simons gauge theory are studied. The lattice analog of BF systems is constructed, and the properties of both theories are found to be in close correspondence with those of the continuous theory. The correspondence with two-dimensional lattice statistical systems is established and the lattice origin of the framing of Wilson loops is shown.
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Hugo, G. R., B. C. Muddle, and R. H. J. Hannink. "An electron diffraction study of the tetragonal— monoclinic transformation in 12 mole% ceria-zirconia." Proceedings, annual meeting, Electron Microscopy Society of America 48, no. 4 (1990): 1054–55. http://dx.doi.org/10.1017/s0424820100178409.

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The tetragonal (t) ↔ monoclinic (m) transformation occurring in 12 mole% CeO2-ZrO2 is a source of significant transformation plasticity and transformation toughening in this ceramic material. The t↔m transformation is martensitic in nature and a quantitative understanding of the transformation plasticity and transformation toughening requires that the crystallography of this martensitic transformation be understood in detail. Crystallographic characteristics of a martensitic phase transformation are:1. the existence of a unique lattice correspondence between the phases, which specifies the dir
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CASELLE, M. "LATTICE GAUGE THEORIES AND THE AdS/CFT CORRESPONDENCE." International Journal of Modern Physics A 15, no. 25 (2000): 3901–66. http://dx.doi.org/10.1142/s0217751x00002044.

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This review is devoted to a comparison between lattice gauge theories and AdS/CFT results for the nonperturbative behavior of nonsupersymmetric Yang–Mills theories. It is intended for readers who are assumed not to be experts in LGT. For this reason the first part is devoted to a pedagogical introduction to the Lattice regularization of QCD. In the second part we discuss some basic features of the AdS/CFT correspondence and compare the results obtained in the nonsupersymmetric limit with those obtained on the lattice. We discuss in particular the behavior of the string tension and of the glueb
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Christian, J. W. "Lattice correspondence, atomic site correspondence and shape change in “diffusional-displacive” phase transformations." Progress in Materials Science 42, no. 1-4 (1997): 101–8. http://dx.doi.org/10.1016/s0079-6425(97)00009-1.

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Dissertations / Theses on the topic "Lattice correspondence"

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Zhang, Qiwei. "Lattice Correspondence in Deformation Twinning in Magnesium." Thesis, University of Nevada, Reno, 2018. http://pqdtopen.proquest.com/#viewpdf?dispub=10823956.

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<p> Due to their lightweight and high specific strength, magnesium and its alloys have a great potential for a variety of applications. However, compared to face-centered cubic (FCC) metals, magnesium has a limited number of easy slip modes which cannot accommodate the strain along the <i>c</i>-axis, and thus twinning in Mg is an important mechanism of plastic deformation. Although numerous theoretical and experimental studies have been conducted on twinning in magnesium for decades, the mechanisms have yet been understood clearly. There are major discrepancies between theoretical and experime
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Jason, Peter. "Comparisons between classical and quantum mechanical nonlinear lattice models." Licentiate thesis, Linköpings universitet, Teoretisk Fysik, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-105817.

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In the mid-1920s, the great Albert Einstein proposed that at extremely low temperatures, a gas of bosonic particles will enter a new phase where a large fraction of them occupy the same quantum state. This state would bring many of the peculiar features of quantum mechanics, previously reserved for small samples consisting only of a few atoms or molecules, up to a macroscopic scale. This is what we today call a Bose-Einstein condensate. It would take physicists almost 70 years to realize Einstein's idea, but in 1995 this was finally achieved. The research on Bose-Einstein condensates has sinc
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Chen, Jhewn-Kuang. "The role of defects during precipitate growth in a Ni-45wt% Cr alloy." Diss., This resource online, 1995. http://scholar.lib.vt.edu/theses/available/etd-06062008-162241/.

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Vescovi, Edoardo. "Perturbative and non-perturbative approaches to string sigma-models in AdS/CFT." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät, 2016. http://dx.doi.org/10.18452/17612.

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Diese Doktorarbeit behandelt quantentheoretische Aspekte von Typ II Superstringtheorien in AdS5xS5- und AdS4xCP3-Hintergründen für die AdS/CFT Korrespondenz. Dabei werden perturbative Methoden und Verfahren der Gitterfeldtheorie benutzt. Die Konstruktion des Supercoset-Sigma-Modell für Strings im AdS5xS5wird skizziert, während die generelle Quantendynamik des Superstring in AdS4xCP3 mit Hilfe einer dimensionaler Reduktion der Supermembrane-Wirkung in AdS4xS7 beschrieben wird. Ein manifest kovarianter Formalismus zur semi-klassischen Quantisierung von Strings um beliebige Minimalflächen in AdS5
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Sjöstrand, Jonas. "Enumerative combinatorics related to partition shapes." Doctoral thesis, KTH, Matematik (Inst.), 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-4298.

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This thesis deals with enumerative combinatorics applied to three different objects related to partition shapes, namely tableaux, restricted words, and Bruhat intervals. The main scientific contributions are the following. Paper I: Let the sign of a standard Young tableau be the sign of the permutation you get by reading it row by row from left to right, like a book. A conjecture by Richard Stanley says that the sum of the signs of all SYTs with n squares is 2^[n/2]. We prove a generalisation of this conjecture using the Robinson-Schensted correspondence and a new concept called chess tableaux
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Frittella, Sabine. "Monotone Modal Logic and Friends." Thesis, Aix-Marseille, 2014. http://www.theses.fr/2014AIXM4751/document.

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Cette thèse étudie la théorie de la correspondance et la théorie des preuves pour la logique modale monotone et les logiques qui en sont proches.La première partie de la thèse établit une connexion formelle entre la théorie de la correspondance algorithmique et des résultats de caractérisation duale pour les treillis finis, similaire à la caractérisation par Nation d'une hiérarchie de variétés de treillis qui généralise les treillis distributifs. Cette connexion formelle est établie en utilisant la logique modale monotone. Nous adaptons l'algorithme ALBA pour la correspondance à l'environnemen
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Fabre, Sehnem Camila. "On C*-algebras associated to product systems." Doctoral thesis, 2018. http://hdl.handle.net/11858/00-1735-0000-002E-E3EC-A.

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Schmidt, Robert [Verfasser]. "Defects in higher-dimensional quantum field theory : relations to AdS-CFT-Correspondence and kondo lattices / by Robert Schmidt." 2007. http://d-nb.info/985517026/34.

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Book chapters on the topic "Lattice correspondence"

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Chen, Xi, and Xiaotie Deng. "Lattice Embedding of Direction-Preserving Correspondence over Integrally Convex Set." In Algorithmic Aspects in Information and Management. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/11775096_7.

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Järvinen, Jouni, and Ewa Orłowska. "Relational Correspondences for Lattices with Operators." In Relational Methods in Computer Science. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/11734673_11.

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Castelnuovo, Ghila, Mayur Naik, Noam Rinetzky, Mooly Sagiv, and Hongseok Yang. "Modularity in Lattices: A Case Study on the Correspondence Between Top-Down and Bottom-Up Analysis." In Static Analysis. Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-48288-9_15.

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"Chapter 5. Frame Correspondence for a Lattice of Conditional Logics." In Possible Worlds Semantics for Indicative and Counterfactual Conditionals? De Gruyter, 2013. http://dx.doi.org/10.1515/9783110323665.211.

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Nilsson, Martin, and Steen Rasmussen. "Constructive Molecular Dynamics Lattice Gases: Three-Dimensional Molecular Self-Assembly." In New Constructions in Cellular Automata. Oxford University Press, 2003. http://dx.doi.org/10.1093/oso/9780195137170.003.0011.

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Realistic molecular dynamics and self-assembly is represented in a lattice simulation where water, water-hydrocarbons, and water-amphiphilic systems are investigated. The details of the phase separation dynamics and the constructive self-assembly dynamics are discussed and compared to the corresponding experimental systems. The method used to represent the different molecular types can easily be expended to include additional molecules and thus allow the assembly of more complex structures. This molecular dynamics (MD) lattice gas fills a modeling gap between traditional MD and lattice gas methods. Both molecular objects and force fields are represented by propagating information particles and all microscopic interactions are reversible. Living systems, perhaps the ultimate constructive dynamical systems, is the motivation for this work and our focus is a study of the dynamics of molecular self-assembly and self-organization. In living systems, matter is organized such that it spontaneously constructs intricate functionalities at all levels from the molecules up to the organism and beyond. At the lower levels of description, chemical reactions, molecular selfassembly and self-organization are the drivers of this complexity. We shall, in this chapter, demonstrate how molecular self-assembly and selforganization processes can be represented in formal systems. The formal systems are to be denned as a special kind of lattice gas and they are in a form where an obvious correspondence exists between the observables in the lattice gases and the experimentally observed properties in the molecular self-assembly systems. This has the clear advantage that by using these formal systems, theory, simulation, and experiment can be conducted in concert and can mutually support each other. However, a disadvantage also exists because analytical results are difficult to obtain for these formal systems due to their inherent complexity dictated by their necessary realism. The key to novelt simpler molecules (from lower levels), dynamical hierarchies are formed [2, 3]. Dynamical hierarchies are characterized by distinct observable functionalities at multiple levels of description. Since these higher-order structures are generated spontaneously due to the physico-chemical properties of their building blocks, complexity can come for free in molecular self-assembly systems. Through such processes, matter apparently can program itself into structures that constitute living systems [11, 27, 30].
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Zinn-Justin, Jean. "O(2) spin model and the Kosterlitz–Thouless’s phase transition." In Quantum Field Theory and Critical Phenomena. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198834625.003.0031.

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At low temperature, the large distance properties of the O(2) spin lattice model can be described by the O(2) non-linear σ-model. The latter model is free and massless in two dimensions. The origin of this peculiarity can be found in the local structure of the field manifold: for N = 2, the O(N) sphere reduces to a circle, which cannot be distinguished locally from a straight line. Because the physical fields are sin θ or cos θ, or equivalently e<sup>± iθ</sup>, instead of θ, a field renormalization is necessary, and temperature-dependent anomalous dimensions are generated. However, the free θ action cannot describe the long-distance properties of the lattice model for all temperatures, since a high temperature analysis of the corresponding spin model shows that the correlation length is finite at high temperature, and thus a phase transition is required. In fact, it is necessary to take into account the property that θ is a cyclic variable. This condition is irrelevant at low temperature, but when the temperature increases, classical configurations with singularities at isolated points, around which θ varies by a multiple of 2π become important. The action of these configurations (vortices) can be identified with the energy of a neutral Coulomb gas, which exhibits a transition between a low temperature of bound neutral molecules and a high temperature phase of a plasma of free charges. The Coulomb gas can be mapped onto the sine-Gordon (sG) model, mapping in which the low- and high-temperature regions of the models are exchanged. This correspondence helps to understand some properties of the famous Kosterlitz-Thouless (KT) phase transition, which separates an infinite correlation length phase without order, the low-temperature phase of the O(2) spin model, from a finite correlation length phase, the high-temperature phase of the O(2) spin model.
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Johnson, Tom. "Rural Legal Culture." In Law in Common. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198785613.003.0002.

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This chapter argues that legal institutions—manorial, church, and leet or hundred courts—were deeply embedded in rural social relations. These courts had been established as the fulcrum of villagers’ legal engagement for a long time, and by the fifteenth century, rural legal culture in England was characterized by a set of profound practical and ideological correspondences between law and community. In the first place, associative relations in the late-medieval countryside were constituted by a dense lattice of mutually reinforcing legal relationships; from the bargains one made to the reputation one cultivated, law provided an epistemology of rural social life. In the second place, law framed an ethical vision of rural community, which villagers attempted to create using the mechanisms available in their local courts. These courts were often dominated by a relatively small, select group of richer families, and certainly the kinds of community that they wished to build and control were neither egalitarian nor inclusive. Yet, for all that it was hierarchical, narrow, and unrealistic, the ideal of a village united by laws served as a powerful concept for inspiring, cajoling, and enforcing action in the courts. Rural legal culture was characterized by this strong emphasis on community.
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Conference papers on the topic "Lattice correspondence"

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Honda, Masazumi, Goro Ishiki, Sang-Woo Kim, Jun Nishimura, and Asato Tsuchiya. "Supersymmetry non-renormalization theorem from a computer and the AdS/CFT correspondence." In The XXVIII International Symposium on Lattice Field Theory. Sissa Medialab, 2011. http://dx.doi.org/10.22323/1.105.0253.

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Xi, Kaiyu, Hong Zhang, Lu Li, Ruiming Jia, and Qi Ge. "A new point correspondence algorithm for image stabilization based on lattice matching." In 2011 4th International Congress on Image and Signal Processing (CISP). IEEE, 2011. http://dx.doi.org/10.1109/cisp.2011.6100018.

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Honda, Masazumi, Goro Ishiki, Jun Nishimura, and Asato Tsuchiya. "Testing the AdS/CFT correspondence by Monte Carlo calculation of BPS and non-BPS Wilson loops in N=4 super-Yang-Mills theory." In XXIX International Symposium on Lattice Field Theory. Sissa Medialab, 2012. http://dx.doi.org/10.22323/1.139.0244.

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Normohammadzadeh, Mohammad, Mohammad Rahnama, Saeed Jafari, and Alireza Akhgar. "Simulation of Long Microchannel Flow in Transitional Regime Using Lattice Boltzmann Method." In ASME 2010 8th International Conference on Nanochannels, Microchannels, and Minichannels collocated with 3rd Joint US-European Fluids Engineering Summer Meeting. ASMEDC, 2010. http://dx.doi.org/10.1115/fedsm-icnmm2010-30316.

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Microscale flow simulation is considered in this paper for a microchannel flow geometry. Lattice Boltzmann Model (LBM) was used as the numerical method for flow simulation, in which an effective mean free path was used in relaxation time appeared in LBM. The effective mean-free-path makes it possible to investigate flow characteristics in transition flow regime, for which Knudsen number varies from 0.1 to 10. Such implementation does not change the computational efficiency of LBM significantly. Results are obtained for flow configuration in a long microchannel. The slip velocity was predicted
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Jafari, Saeed, and Mohammad Rahnama. "Shear-Improved Smagorinsky Modeling of Turbulent Channel Flow Using Generalized Lattice Boltzmann Equation." In ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting collocated with 8th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2010. http://dx.doi.org/10.1115/fedsm-icnmm2010-30311.

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Generalized Lattice Boltzmann Equation (GLBE) was used for computation of turbulent channel flow for which Large Eddy Simulation (LES) was employed as a turbulence model. The subgrid-Scale turbulence effects were simulated through a Shear-Improved Smagorinsky Model (SISM) which is capable of predicting turbulent near wall region accurately without any wall function. Computations were done for a relatively coarse grid with shear Reynolds number of 180 in a parallelized code. Good numerical stability was observed for this computational framework. Results of mean velocity distribution across the
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Marynissen, Simon, Bart Bogaerts, and Marc Denecker. "On the Relation Between Approximation Fixpoint Theory and Justification Theory." In Thirtieth International Joint Conference on Artificial Intelligence {IJCAI-21}. International Joint Conferences on Artificial Intelligence Organization, 2021. http://dx.doi.org/10.24963/ijcai.2021/272.

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Approximation Fixpoint Theory (AFT) and Justification Theory (JT) are two frameworks to unify logical formalisms. AFT studies semantics in terms of fixpoints of lattice operators, and JT in terms of so-called justifications, which are explanations of why certain facts do or do not hold in a model. While the approaches differ, the frameworks were designed with similar goals in mind, namely to study the different semantics that arise in (mainly) non-monotonic logics. The First contribution of our current paper is to provide a formal link between the two frameworks. To be precise, we show that ev
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Nakagawa, Tadahiro, Naoki Shikazono, and Nobuhide Kasagi. "Numerical Simulation of Electrochemical Reaction in Reconstructed Three-Dimensional LSM/YSZ Composite Cathode." In ASME 2008 6th International Conference on Fuel Cell Science, Engineering and Technology. ASMEDC, 2008. http://dx.doi.org/10.1115/fuelcell2008-65027.

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In the present study, a novel computational scheme for the assessment of the activation polarization of LSM/YSZ composite cathodes is proposed. The scheme consists of modeling techniques of three-dimensional microstructures and an evaluation method of electrochemical characteristics. Two modeling techniques of microstructures are employed, i.e. the stochastic reconstruction (SR) method and the random packing model (RPM). In the SR method, the 3-D structure is reconstructed statistically from the two-point correlation function of the cross-sectional image of SEM-EDX. In RPM, on the other hand,
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Hsu, C. T., S. W. Chiang, and K. F. Sin. "A Novel Dynamics Lattice Boltzmann Method for Gas Flows." In ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting collocated with 8th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2010. http://dx.doi.org/10.1115/fedsm-icnmm2010-31237.

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The lattice Boltzmann method (LBM), where discrete velocities are specifically assigned to ensure that a particle leaves one lattice node always resides on another lattice node, has been developed for decades as a powerful numerical tool to solve the Boltzmann equation for gas flows. The efficient implementation of LBM requires that the discrete velocities be isotropic and that the lattice nodes be homogeneous. These requirements restrict the applications of the currently-used LBM schemes to incompressible and isothermal flows. Such restrictions defy the original physics of Boltzmann equation.
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Jayaprakash, K. R., Yuli Starosvetsky, and Alexander F. Vakakis. "Resonance and Anti-Resonance Phenomenon in Granular Dimer Chains With No Pre-Compression." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-47084.

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It is a well known fact that many interesting phenomena in the theory of waves in nonlinear lattices, e.g., the significant reduction of the amplitude of a propagating primary pulse or the essential growth of the phase velocity, may be explained in terms of various resonant mechanisms existing in the system (e.g. Frankel-Kontorova model). Recently, we have demonstrated analytically and numerically that similar resonant mechanisms also exist in periodically disordered granular chains with no pre-compression. Moreover, these mechanisms are responsible for the aforementioned phenomena of intensiv
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