Statistical Models, Yang-baxter Equation And Related Topics - Proceedings Of The Satellite Meeting Of Statphys–19; Symmetry, Statistical Mechanical Models And Applications - Proceedings Of The Seventh Nankai Workshop

Statistical Models, Yang-baxter Equation And Related Topics - Proceedings Of The Satellite Meeting Of Statphys–19; Symmetry, Statistical Mechanical Models And Applications - Proceedings Of The Seventh Nankai Workshop

Author: Mo-lin Ge

Publisher: World Scientific

Published: 1996-09-20

Total Pages: 460

ISBN-13: 9814547565

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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.


Yang-Baxter Equation in Integrable Systems

Yang-Baxter Equation in Integrable Systems

Author: Michio Jimbo

Publisher: World Scientific

Published: 1990

Total Pages: 740

ISBN-13: 9789810201203

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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.


Lectures on Representation Theory and Knizhnik-Zamolodchikov Equations

Lectures on Representation Theory and Knizhnik-Zamolodchikov Equations

Author: Pavel I. Etingof

Publisher: American Mathematical Soc.

Published: 1998

Total Pages: 215

ISBN-13: 0821804960

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This text is devoted to mathematical structures arising in conformal field theory and the q-deformations. The authors give a self-contained exposition of the theory of Knizhnik-Zamolodchikov equations and related topics. No previous knowledge of physics is required. The text is suitable for a one-semester graduate course and is intended for graduate students and research mathematicians interested in mathematical physics.


Differential Equations, Mathematical Physics, and Applications: Selim Grigorievich Krein Centennial

Differential Equations, Mathematical Physics, and Applications: Selim Grigorievich Krein Centennial

Author: Peter Kuchment

Publisher: American Mathematical Soc.

Published: 2019-07-22

Total Pages: 117

ISBN-13: 147043783X

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This is the second of two volumes dedicated to the centennial of the distinguished mathematician Selim Grigorievich Krein. The companion volume is Contemporary Mathematics, Volume 733. Krein was a major contributor to functional analysis, operator theory, partial differential equations, fluid dynamics, and other areas, and the author of several influential monographs in these areas. He was a prolific teacher, graduating 83 Ph.D. students. Krein also created and ran, for many years, the annual Voronezh Winter Mathematical Schools, which significantly influenced mathematical life in the former Soviet Union. The articles contained in this volume are written by prominent mathematicians, former students and colleagues of Selim Krein, as well as lecturers and participants of Voronezh Winter Schools. They are devoted to a variety of contemporary problems in ordinary and partial differential equations, fluid dynamics, and various applications.


Recent Trends in Formal and Analytic Solutions of Diff. Equations

Recent Trends in Formal and Analytic Solutions of Diff. Equations

Author: Galina Filipuk

Publisher: American Mathematical Society

Published: 2023-02-09

Total Pages: 240

ISBN-13: 147046604X

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This volume contains the proceedings of the conference on Formal and Analytic Solutions of Diff. Equations, held from June 28–July 2, 2021, and hosted by University of Alcalá, Alcalá de Henares, Spain. The manuscripts cover recent advances in the study of formal and analytic solutions of different kinds of equations such as ordinary differential equations, difference equations, $q$-difference equations, partial differential equations, moment differential equations, etc. Also discussed are related topics such as summability of formal solutions and the asymptotic study of their solutions. The volume is intended not only for researchers in this field of knowledge but also for students who aim to acquire new techniques and learn recent results.