Introduction to the Replica Theory of Disordered Statistical Systems

Introduction to the Replica Theory of Disordered Statistical Systems PDF Author: Viktor Dotsenko
Publisher: Cambridge University Press
ISBN: 0521773407
Category : Science
Languages : en
Pages : 236

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Book Description
An introductory book on the statistical mechanics of disordered systems, ideal for graduates and researchers.

Introduction to the Replica Theory of Disordered Statistical Systems

Introduction to the Replica Theory of Disordered Statistical Systems PDF Author: Viktor Dotsenko
Publisher: Cambridge University Press
ISBN: 0521773407
Category : Science
Languages : en
Pages : 236

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Book Description
An introductory book on the statistical mechanics of disordered systems, ideal for graduates and researchers.

Statistical Mechanics of Disordered Systems

Statistical Mechanics of Disordered Systems PDF Author: Anton Bovier
Publisher: Cambridge University Press
ISBN: 0521849918
Category : Mathematics
Languages : en
Pages : 297

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Book Description
Publisher Description

Order, Disorder And Criticality: Advanced Problems Of Phase Transition Theory - Volume 6

Order, Disorder And Criticality: Advanced Problems Of Phase Transition Theory - Volume 6 PDF Author: Yurij Holovatch
Publisher: World Scientific
ISBN: 9811216231
Category : Science
Languages : en
Pages : 294

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Book Description
This book is the sixth volume of reviews on advanced problems of phase transitions and critical phenomena, with the first five volumes appearing in 2004, 2007, 2012, 2015, and 2018. It aims to provide an overview of those aspects of criticality and related topics that have attracted much attention due to the recent contributions. The six chapters discuss criticality of complex systems, where the new, emergent properties appear via collective behaviour of simple elements. Since all complex systems involve cooperative behaviour between many interconnected components, the field of phase transitions and critical phenomena provides a very natural conceptual and methodological framework for their study.As for the previous volumes, this book is based on the review lectures that were given in Lviv (Ukraine) at the 'Ising lectures' — a traditional annual workshop on phase transitions and critical phenomena which aims to bring together scientists working in the field of phase transitions with university students and those who are interested in the topic.The level of presentation makes the book readable both for professionals and the students in the field. On a larger scale, the book may contribute to promoting and deepening studies of phase transitions and critical phenomena.

Mathematical Statistical Physics

Mathematical Statistical Physics PDF Author:
Publisher: Elsevier
ISBN: 0080479235
Category : Science
Languages : en
Pages : 849

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Book Description
The proceedings of the 2005 les Houches summer school on Mathematical Statistical Physics give and broad and clear overview on this fast developing area of interest to both physicists and mathematicians. Introduction to a field of math with many interdisciplinary connections in physics, biology, and computer science Roadmap to the next decade of mathematical statistical mechanics Volume for reference years to come

Statistical Physics, Optimization, Inference, and Message-Passing Algorithms

Statistical Physics, Optimization, Inference, and Message-Passing Algorithms PDF Author: Florent Krzakala
Publisher: Oxford University Press
ISBN: 0198743734
Category : Science
Languages : en
Pages : 319

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Book Description
This text gathers the lecture notes of the Les Houches Summer School that was held in October 2013 for an audience of advanced graduate students and post-doctoral fellows in statistical physics, theoretical physics, machine learning, and computer science.

Statistical Mechanics in a Nutshell, Second Edition

Statistical Mechanics in a Nutshell, Second Edition PDF Author: Luca Peliti
Publisher: Princeton University Press
ISBN: 0691248427
Category : Science
Languages : en
Pages : 576

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Book Description
"Statistical Mechanics in a Nutshell offers a concise, self-contained advanced undergraduate to graduate level introduction to this rapidly developing field, requiring a background in elementary calculus and elementary mechanics. It starts with the basics, introduces the most important developments in classical statistical mechanics over the last thirty years, and guides readers to the very threshold of today's cutting-edge research. The author has revised the first 5 chapters (harmonizing the notation, improving the proofs, checking all exercises and adding a few additional interesting ones). He has also added a new chapter on stochastic thermodynamics, which finds its place after the 9th chapter. The appendices will also be completely rewritten, emphasizing the role of convexity and the Jensen inequality. Chapter 8 will be improved to include some important topics: namely, thermostats and fast algorithms. Chapter 9 will also be rewritten to modernize it and to transition to the new chapter on stochastic thermodynamics. Chapter 10 will be split in two, to focus on "disordered systems" and "complex systems," to emphasize applications (including neural networks and optimization algorithms), and to introduce some fundamental techniques (like the cavity method and message passing) at an elementary level. The goal of the new edition is to help the reader find her/his way into and through the vast, recent literature concerning statistical mechanics and to build a sense of the many fields in which the discipline has recently been applied"--

Random Matrix Theory, Interacting Particle Systems and Integrable Systems

Random Matrix Theory, Interacting Particle Systems and Integrable Systems PDF Author: Percy Deift
Publisher: Cambridge University Press
ISBN: 1107079926
Category : Language Arts & Disciplines
Languages : en
Pages : 539

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Book Description
This volume includes review articles and research contributions on long-standing questions on universalities of Wigner matrices and beta-ensembles.

Order, Disorder And Criticality - Advanced Problems Of Phase Transition Theory -

Order, Disorder And Criticality - Advanced Problems Of Phase Transition Theory - PDF Author: Holovatch Yurij
Publisher: World Scientific
ISBN: 9813232110
Category : Science
Languages : en
Pages : 412

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Book Description
This book is the fifth volume of papers on advanced problems of phase transitions and critical phenomena, the first four volumes appeared in 2004, 2007, 2012, and 2015. It aims to compile reviews in those aspects of criticality and related subjects that are of current interest. The seven chapters discuss criticality of complex systems, where the new, emergent properties appear via collective behaviour of simple elements. Since all complex systems involve cooperative behaviour between many interconnected components, the field of phase transitions and critical phenomena provides a very natural conceptual and methodological framework for their study. As the first four volumes, this book is based on the review lectures that were given in Lviv (Ukraine) at the "Ising lectures" — a traditional annual workshop on phase transitions and critical phenomena which aims to bring together scientists working in the field of phase transitions with university students and those who are interested in the subject. Contents: Statistical Properties of One-Dimensional Directed Polymers in a Random Potential (V Dotsenko)Non-Euclidean Geometry in Nature (S Nechaev)Dynamics of Polymers: Classic Results and Recent Developments (M V Tamm and K Polovnikov)Generalized Ensemble Computer Simulations of Macromolecules (W Janke)Photo-Controllable Networks in Macromolecular Solutions and Blends (J M Ilnytskyi)Monte Carlo Methods for Massively Parallel Computers (M Weigel)Complex Networks and Infrastructural Grids (A Scala) Readership: Advanced undergraduates and graduate students, researchers and scientists interested in phase transitions and critical phenomena. Keywords: Phase Transitions;Criticality;Scaling;Complex SystemsReview:0

Advances in Neural Information Processing Systems 15

Advances in Neural Information Processing Systems 15 PDF Author: Suzanna Becker
Publisher: MIT Press
ISBN: 9780262025508
Category : Neural circuitry
Languages : en
Pages : 1738

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Book Description
Proceedings of the 2002 Neural Information Processing Systems Conference.

Order, Disorder and Criticality

Order, Disorder and Criticality PDF Author: Yurij Holovatch
Publisher: World Scientific
ISBN: 9789812565440
Category : Science
Languages : en
Pages : 312

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Book Description
This book is the second volume of review papers on advanced problems of phase transitions and critical phenomena, following the success of the first volume in 2004. Broadly, the volume aims to demonstrate that the phase transition theory, which experienced its ''golden age'' during the 70s and 80s, is far from over and there is still a good deal of work to be done, both at the fundamental level and in respect of applications.The topics presented in this volume include: critical behavior as explained by the non-perturbative renormalization group, critical dynamics, a spacetime approach to phase transitions, self-organized criticality, and exactly solvable models of phase transitions in strongly correlated systems. As the first volume, this book is based on the review lectures that were given in Lviv (Ukraine) at the OC Ising lecturesOCO OCo a traditional annual workshop on phase transitions and critical phenomena which brings together scientists working in the field with university students and those who are interested in the subject."