Statistical Models, Yang–Baxter Equation and Related Topics; Symmetry, Statistical Mechanical Models and Applications

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Publisher : World Scientific
ISBN 13 : 9814547565
Total Pages : 460 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Statistical Models, Yang–Baxter Equation and Related Topics; Symmetry, Statistical Mechanical Models and Applications by : M L Ge

Download or read book Statistical Models, Yang–Baxter Equation and Related Topics; Symmetry, Statistical Mechanical Models and Applications written by M L Ge and published by World Scientific. This book was released on 1996-09-20 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of two international conferences: a satellite meeting of the IUPAP Statphys-19 Conference and the Seventh Nankai Workshop, held in Tianjin, China in August 1995. The central theme of the two conferences, which drew participants from 18 countries, was the Yang–Baxter equation and its development and applications. With topics ranging from quantum groups, vertex and spin models, to applications in condensed matter physics, this book reflects the current research interest of integrable systems in statistical mechanics. Contents:Satellite Meeting of Statphys-19:Boundary Yang–Baxter in the RSOS/SOS Representation (C Ahn & W M Koo)Quantum Domains in Ferromagnetic Anisotropic Heisenberg Chains (F C Alcaraz et al.)The Generalized Chiral Clock Model and Its Phase Diagram (H Au-Yang & J H H Perk)Algebraic Solution of the Coincidence Problem for Crystals and Quasicrystals (M Baake)Reflection Equations and Surface Critical Phenomena (M T Batchelor)Quantum Field Theories in Terms of Group-Valued Local Fields: An Overview (L-L Chau)U(1)-Invariant Local and Integrable Lattice Formulation of the Massive Thirring Model (C Destri)Dilute Algebras and Solvable Lattice Models (U Grimm)Mutual Exclusion Statistics in the Exactly Solvable Model of the Mott Metal-Insulator Transition (Y Hatsugai et al.) Quantum Group and the Hofstadter Problem (Y Hatsugai et al.)Domain Walls in the Spin-S Quantum Ising Chain (M Henkel)Probability of Phase Separation and Two Point Temperature Correlation Functions for the Bose Gas with Delta Interaction (A R Its & V E Korepin)Stochastic Reaction-Diffusion Processes, Operator Algebras and Integrable Quantum Spin Chains (G M Schütz)Vertex-Face Correspondence in Elliptic Solutions of the Yang–Baxter Equation (Y Shibukawa)Logarithmic Anomalies of Susceptibility for Solvable Models (M Takahashi)On Chiral Hubbard Model at Strong Interaction (D F Wang)Soluble Free-Fermion Models in d Dimensions (F Y Wu)Bosonization Based on Bethe Ansatz Equations and Proof of the Conformal Conjecture (Y-S Wu & Y Yu)and other papersThe Seventh Nankai Workshop:Corner Transfer Matrix of Asymmetric Vertex Models (H-P Eckle)Scaling Properties of the Ising Model in a Field (U Grimm & B Nienhuis)One Dimensional Lattice Models of Electrons with r–2 Hopping and Exchange (Ch Gruber & D F Wang)Symmetry Group Invariants for Spontaneous Magnetization (J-M Maillard)Experimental Realizations of Integrable Reaction-Diffusion Processes in Biological and Chemical Systems (G M Schütz)Zamolodchikov–Faddeev Algebra in 2-Component Anyons (Y-L Shen & M-L Ge)and other papers Readership: Theoretical physicists and mathematicians. keywords:

Statistical Models, Yang-Baxter Equation and Related Topics

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Publisher : World Scientific Publishing Company Incorporated
ISBN 13 : 9789810227562
Total Pages : 444 pages
Book Rating : 4.2/5 (275 download)

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Book Synopsis Statistical Models, Yang-Baxter Equation and Related Topics by : Mo-Lin Ge

Download or read book Statistical Models, Yang-Baxter Equation and Related Topics written by Mo-Lin Ge and published by World Scientific Publishing Company Incorporated. This book was released on 1996 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Exactly Solved Models: A Journey in Statistical Mechanics

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Publisher :
ISBN 13 : 9814471224
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Exactly Solved Models: A Journey in Statistical Mechanics by :

Download or read book Exactly Solved Models: A Journey in Statistical Mechanics written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Yang-baxter Equations, Conformal Invariance And Integrability In Statistical Mechanics And Field Theory - Proceedings Of A Conference

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Publisher : #N/A
ISBN 13 : 981469682X
Total Pages : 426 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Yang-baxter Equations, Conformal Invariance And Integrability In Statistical Mechanics And Field Theory - Proceedings Of A Conference by : Barber Michael N

Download or read book Yang-baxter Equations, Conformal Invariance And Integrability In Statistical Mechanics And Field Theory - Proceedings Of A Conference written by Barber Michael N and published by #N/A. This book was released on 1990-05-01 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 1244 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 1999 with total page 1244 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Probability on Discrete Structures

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540008453
Total Pages : 376 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Probability on Discrete Structures by : Harry Kesten

Download or read book Probability on Discrete Structures written by Harry Kesten and published by Springer Science & Business Media. This book was released on 2004 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most probability problems involve random variables indexed by space and/or time. These problems almost always have a version in which space and/or time are taken to be discrete. This volume deals with areas in which the discrete version is more natural than the continuous one, perhaps even the only one than can be formulated without complicated constructions and machinery. The 5 papers of this volume discuss problems in which there has been significant progress in the last few years; they are motivated by, or have been developed in parallel with, statistical physics. They include questions about asymptotic shape for stochastic growth models and for random clusters; existence, location and properties of phase transitions; speed of convergence to equilibrium in Markov chains, and in particular for Markov chains based on models with a phase transition; cut-off phenomena for random walks. The articles can be read independently of each other. Their unifying theme is that of models built on discrete spaces or graphs. Such models are often easy to formulate. Correspondingly, the book requires comparatively little previous knowledge of the machinery of probability.

Lattice Statistics and Mathematical Physics

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Publisher : World Scientific
ISBN 13 : 9789812776358
Total Pages : 338 pages
Book Rating : 4.7/5 (763 download)

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Book Synopsis Lattice Statistics and Mathematical Physics by : Jacques H. H. Perk

Download or read book Lattice Statistics and Mathematical Physics written by Jacques H. H. Perk and published by World Scientific. This book was released on 2002 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains thirty-six short papers on recent progress in a variety of subjects in mathematical and theoretical physics, written for the proceedings of a symposium in honor of the seventieth birthday of Professor F Y Wu, held at the Nankai Institute of Mathematics, October 7OCo11, 2001. The collection of papers is aimed at researchers, including graduate students, with an interdisciplinary interest and gives a brief introduction to many of the topics of current interest. These include new results on exactly solvable models in statistical mechanics, integrable through the YangOCoBaxter equations, quantum groups, fractional statistics, random matrices, index theorems on the lattice, combinatorics, and other related topics."

Encyclopedia of Knot Theory

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Publisher : CRC Press
ISBN 13 : 100022242X
Total Pages : 1048 pages
Book Rating : 4.0/5 (2 download)

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Book Synopsis Encyclopedia of Knot Theory by : Colin Adams

Download or read book Encyclopedia of Knot Theory written by Colin Adams and published by CRC Press. This book was released on 2021-02-10 with total page 1048 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Knot theory is a fascinating mathematical subject, with multiple links to theoretical physics. This enyclopedia is filled with valuable information on a rich and fascinating subject." – Ed Witten, Recipient of the Fields Medal "I spent a pleasant afternoon perusing the Encyclopedia of Knot Theory. It’s a comprehensive compilation of clear introductions to both classical and very modern developments in the field. It will be a terrific resource for the accomplished researcher, and will also be an excellent way to lure students, both graduate and undergraduate, into the field." – Abigail Thompson, Distinguished Professor of Mathematics at University of California, Davis Knot theory has proven to be a fascinating area of mathematical research, dating back about 150 years. Encyclopedia of Knot Theory provides short, interconnected articles on a variety of active areas in knot theory, and includes beautiful pictures, deep mathematical connections, and critical applications. Many of the articles in this book are accessible to undergraduates who are working on research or taking an advanced undergraduate course in knot theory. More advanced articles will be useful to graduate students working on a related thesis topic, to researchers in another area of topology who are interested in current results in knot theory, and to scientists who study the topology and geometry of biopolymers. Features Provides material that is useful and accessible to undergraduates, postgraduates, and full-time researchers Topics discussed provide an excellent catalyst for students to explore meaningful research and gain confidence and commitment to pursuing advanced degrees Edited and contributed by top researchers in the field of knot theory

The Problem of Integrable Discretization

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Publisher : Birkhäuser
ISBN 13 : 3034880162
Total Pages : 1078 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis The Problem of Integrable Discretization by : Yuri B. Suris

Download or read book The Problem of Integrable Discretization written by Yuri B. Suris and published by Birkhäuser. This book was released on 2012-12-06 with total page 1078 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exploration of the theory of discrete integrable systems, with an emphasis on the following general problem: how to discretize one or several of independent variables in a given integrable system of differential equations, maintaining the integrability property? This question (related in spirit to such a modern branch of numerical analysis as geometric integration) is treated in the book as an immanent part of the theory of integrable systems, also commonly termed as the theory of solitons. Most of the results are only available from recent journal publications, many of them are new. Thus, the book is a kind of encyclopedia on discrete integrable systems. It unifies the features of a research monograph and a handbook. It is supplied with an extensive bibliography and detailed bibliographic remarks at the end of each chapter. Largely self-contained, it will be accessible to graduate and post-graduate students as well as to researchers in the area of integrable dynamical systems.

Lattice Statistics and Mathematical Physics

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Publisher : World Scientific
ISBN 13 : 981448718X
Total Pages : 328 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Lattice Statistics and Mathematical Physics by : Jacques H H Perk

Download or read book Lattice Statistics and Mathematical Physics written by Jacques H H Perk and published by World Scientific. This book was released on 2002-11-06 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains thirty-six short papers on recent progress in a variety of subjects in mathematical and theoretical physics, written for the proceedings of a symposium in honor of the seventieth birthday of Professor F Y Wu, held at the Nankai Institute of Mathematics, October 7–11, 2001. The collection of papers is aimed at researchers, including graduate students, with an interdisciplinary interest and gives a brief introduction to many of the topics of current interest. These include new results on exactly solvable models in statistical mechanics, integrable through the Yang–Baxter equations, quantum groups, fractional statistics, random matrices, index theorems on the lattice, combinatorics, and other related topics. Contents:Happer's Curious Degeneracies and Yangian (C-M Bai et al.)The Rotor Model and Combinatorics (M T Batchelor et al.)Mutually Local Fields from Form Factors (A Fring)Dimers and Spanning Trees: Some Recent Results (F Y Wu)Exotic Galilean Symmetry and the Hall Effect (C Duval & P A Horváthy)The Three-State Chiral Clock Model (B-Q Jin et al.)Quantum Dynamics and Random Matrix Theory (H Kunz)Short-Time Behaviors of Long-Ranged Interactions (H Fang et al.)Comments on the Deformed WN Algebra (S Odake)New Results for Susceptibilities in Planar Ising Models (H Au-Yang & J H H Perk)Limitations on Quantum Control (A I Solomon & S G Schirmer)R-Matrices and the Tensor Product Graph Method (M D Gould & Y-Z Zhang)and other papers Readership: Graduate students and researchers in mathematical physics and statistical mechanics. Keywords:Exactly Solvable Models in Statistical Mechanics;Integrable Models;Yang-Baxter Equations;Quantum Groups;Fractional Statistics;Dimer Models;Random Matrices;Index Theorems

Physics And Combinatorics, Procs Of Nagoya 1999 Intl Wkshp

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Publisher : World Scientific
ISBN 13 : 9814491357
Total Pages : 408 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Physics And Combinatorics, Procs Of Nagoya 1999 Intl Wkshp by : Anatol N Kirillov

Download or read book Physics And Combinatorics, Procs Of Nagoya 1999 Intl Wkshp written by Anatol N Kirillov and published by World Scientific. This book was released on 2001-04-02 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains research and review papers on different branches of mathematics and mathematical physics, written by the leading specialists. Among the contributed papers are articles on: (i) multiple basic hypergeometric functions with applications to the number theory, (ii) birational representations of affine Weyl groups with applications to discrete integrable systems, (iii) algebraic geometry and Painleve VI, and (iv) combinatorics of Kostka-Foulkes polynomials.

Statistical Models, Yang-Baxter Equation and Related Topics

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Publisher :
ISBN 13 :
Total Pages : 444 pages
Book Rating : 4.:/5 (366 download)

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Book Synopsis Statistical Models, Yang-Baxter Equation and Related Topics by :

Download or read book Statistical Models, Yang-Baxter Equation and Related Topics written by and published by . This book was released on 1996 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Energy Research Abstracts

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Publisher :
ISBN 13 :
Total Pages : 1034 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis Energy Research Abstracts by :

Download or read book Energy Research Abstracts written by and published by . This book was released on 1991 with total page 1034 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Yang-Baxter Equation in Integrable Systems

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Publisher : World Scientific
ISBN 13 : 9789810201203
Total Pages : 740 pages
Book Rating : 4.2/5 (12 download)

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Book Synopsis Yang-Baxter Equation in Integrable Systems by : Michio Jimbo

Download or read book Yang-Baxter Equation in Integrable Systems written by Michio Jimbo and published by World Scientific. This book was released on 1990 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume will be the first reference book devoted specially to the Yang-Baxter equation. The subject relates to broad areas including solvable models in statistical mechanics, factorized S matrices, quantum inverse scattering method, quantum groups, knot theory and conformal field theory. The articles assembled here cover major works from the pioneering papers to classical Yang-Baxter equation, its quantization, variety of solutions, constructions and recent generalizations to higher genus solutions.

Classical and Quantum Nonlinear Integrable Systems

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Publisher : CRC Press
ISBN 13 : 0429525044
Total Pages : 166 pages
Book Rating : 4.4/5 (295 download)

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Book Synopsis Classical and Quantum Nonlinear Integrable Systems by : A Kundu

Download or read book Classical and Quantum Nonlinear Integrable Systems written by A Kundu and published by CRC Press. This book was released on 2019-04-23 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering both classical and quantum models, nonlinear integrable systems are of considerable theoretical and practical interest, with applications over a wide range of topics, including water waves, pin models, nonlinear optics, correlated electron systems, plasma physics, and reaction-diffusion processes. Comprising one part on classical theories

Statistical Physics On The Eve Of The 21st Century: In Honour Of J B Mcguire On The Occasion Of His 65th Birthday

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Publisher : World Scientific
ISBN 13 : 9814544167
Total Pages : 536 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Statistical Physics On The Eve Of The 21st Century: In Honour Of J B Mcguire On The Occasion Of His 65th Birthday by : Luc T Wille

Download or read book Statistical Physics On The Eve Of The 21st Century: In Honour Of J B Mcguire On The Occasion Of His 65th Birthday written by Luc T Wille and published by World Scientific. This book was released on 1999-02-04 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of original papers and reviews in honour of James McGuire, one of the pioneers of integrable models in statistical physics. The broad range of articles offers a timely perspective on the current status of statistical mechanics, identifying both recent results as well as future challenges. The work contains a number of overviews of standard topics such as exactly solved lattice models and their various applications in statistical physics, from models of strongly correlated electrons to the conformational properties of polymer chains. It is equally wide ranging in its coverage of new directions and developing fields including quantum computers, financial markets, chaotic systems, Feigenbaum scaling, proteins, brain behaviour, immunology, Markov superposition, Bose-Einstein condensation, random matrices, exclusion statistics, vertex operator algebras and D-unsolvability.The level of coverage is appropriate for graduate students. It will be equally of interest to professional physicists who want to learn about progress in statistical physics in recent years. Experts will find this work useful because of its broad sweep of topics and its discussion of remaining unsolved problems.

Introduction to the Statistical Physics of Integrable Many-body Systems

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Publisher : Cambridge University Press
ISBN 13 : 1107030439
Total Pages : 525 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Introduction to the Statistical Physics of Integrable Many-body Systems by : Ladislav Šamaj

Download or read book Introduction to the Statistical Physics of Integrable Many-body Systems written by Ladislav Šamaj and published by Cambridge University Press. This book was released on 2013-05-16 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: Including topics not traditionally covered, such as (1+1)-dimensional QFT, this book considers a wide range of models and their applications.