High Temperature Differentiability of Lattice Gibbs States by Dobrushin Uniqueness Techniques PDF Download
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Author: Chetan Prakash
Publisher:
ISBN:
Category : Gibbs' free energy
Languages : en
Pages : 328
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Book Description
Author: Chetan Prakash
Publisher:
ISBN:
Category : Gibbs' free energy
Languages : en
Pages : 328
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Book Description
Author: Hans-Otto Georgii
Publisher: Walter de Gruyter
ISBN: 3110250322
Category : Mathematics
Languages : en
Pages : 561
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Book Description
"This book is much more than an introduction to the subject of its title. It covers in depth a broad range of topics in the mathematical theory of phase transition in statistical mechanics and as an up to date reference in its chosen topics it is a work of outstanding scholarship. It is in fact one of the author's stated aims that this comprehensive monograph should serve both as an introductory text and as a reference for the expert. In its latter function it informs the reader about the state of the art in several directions. It is introductory in the sense that it does not assume any prior knowledge of statistical mechanics and is accessible to a general readership of mathematicians with a basic knowledge of measure theory and probability. As such it should contribute considerably to the further growth of the already lively interest in statistical mechanics on the part of probabilists and other mathematicians." Fredos Papangelou, Zentralblatt MATH The second edition has been extended by a new section on large deviations and some comments on the more recent developments in the area.
Author: Barry Simon
Publisher: Princeton University Press
ISBN: 1400863430
Category : Science
Languages : en
Pages : 534
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Book Description
A state-of-the-art survey of both classical and quantum lattice gas models, this two-volume work will cover the rigorous mathematical studies of such models as the Ising and Heisenberg, an area in which scientists have made enormous strides during the past twenty-five years. This first volume addresses, among many topics, the mathematical background on convexity and Choquet theory, and presents an exhaustive study of the pressure including the Onsager solution of the two-dimensional Ising model, a study of the general theory of states in classical and quantum spin systems, and a study of high and low temperature expansions. The second volume will deal with the Peierls construction, infrared bounds, Lee-Yang theorems, and correlation inequality. This comprehensive work will be a useful reference not only to scientists working in mathematical statistical mechanics but also to those in related disciplines such as probability theory, chemical physics, and quantum field theory. It can also serve as a textbook for advanced graduate students. Originally published in 1993. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author: Giovanni Gallavotti
Publisher: Springer Science & Business Media
ISBN: 3662058537
Category : Mathematics
Languages : en
Pages : 439
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Book Description
Intended for beginners in ergodic theory, this introductory textbook addresses students as well as researchers in mathematical physics. The main novelty is the systematic treatment of characteristic problems in ergodic theory by a unified method in terms of convergent power series and renormalization group methods, in particular. Basic concepts of ergodicity, like Gibbs states, are developed and applied to, e.g., Asonov systems or KAM Theroy. Many examples illustrate the ideas and, in addition, a substantial number of interesting topics are treated in the form of guided problems.
Author: Hui-Hsiung Kuo
Publisher: American Mathematical Soc.
ISBN: 0821832026
Category : Mathematics
Languages : en
Pages : 242
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Book Description
This book contains the proceedings of the special session in honor of Leonard Gross held at the annual Joint Mathematics Meetings in New Orleans (LA). The speakers were specialists in a variety of fields, and many were Professor Gross's former Ph.D. students and their descendants. Papers in this volume present results from several areas of mathematics. They illustrate applications of powerful ideas that originated in Gross's work and permeate diverse fields. Topics include stochastic partial differential equations, white noise analysis, Brownian motion, Segal-Bargmann analysis, heat kernels, and some applications. The volume should be useful to graduate students and researchers. It provides perspective on current activity and on central ideas and techniques in the topics covered.
Author: Jacques Azéma
Publisher: Springer
ISBN: 3540361073
Category : Mathematics
Languages : en
Pages : 507
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Book Description
The 36th Sminaire de Probabilits contains an advanced course on Logarithmic Sobolev Inequalities by A. Guionnet and B. Zegarlinski, as well as two shorter surveys by L. Pastur and N. O'Connell on the theory of random matrices and their links with stochastic processes. The main themes of the other contributions are Logarithmic Sobolev Inequalities, Stochastic Calculus, Martingale Theory and Filtrations. Besides the traditional readership of the Sminaires, this volume will be useful to researchers in statistical mechanics and mathematical finance.
Author:
Publisher:
ISBN:
Category : Probabilities
Languages : en
Pages : 526
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Book Description
Contents of 1-14 (1966/67-1978/79) in v. 15 (1979/80).
Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 524
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Book Description
Author:
Publisher:
ISBN:
Category : Physics
Languages : en
Pages : 1108
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Book Description
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1226
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Book Description
