Random Walks Random Fields And Disordered Systems

Download Random Walks Random Fields And Disordered Systems full books in PDF, epub, and Kindle. Read online Random Walks Random Fields And Disordered Systems ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Random Walks, Random Fields, and Disordered Systems

Author : Anton Bovier
Publisher : Springer
ISBN 13 : 3319193392
Total Pages : 254 pages
Book Rating : 4.3/5 (191 download)

DOWNLOAD NOW!

Book Synopsis Random Walks, Random Fields, and Disordered Systems by : Anton Bovier

Download or read book Random Walks, Random Fields, and Disordered Systems written by Anton Bovier and published by Springer. This book was released on 2015-09-21 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on the mathematics that lies at the intersection of probability theory, statistical physics, combinatorics and computer science, this volume collects together lecture notes on recent developments in the area. The common ground of these subjects is perhaps best described by the three terms in the title: Random Walks, Random Fields and Disordered Systems. The specific topics covered include a study of Branching Brownian Motion from the perspective of disordered (spin-glass) systems, a detailed analysis of weakly self-avoiding random walks in four spatial dimensions via methods of field theory and the renormalization group, a study of phase transitions in disordered discrete structures using a rigorous version of the cavity method, a survey of recent work on interacting polymers in the ballisticity regime and, finally, a treatise on two-dimensional loop-soup models and their connection to conformally invariant systems and the Gaussian Free Field. The notes are aimed at early graduate students with a modest background in probability and mathematical physics, although they could also be enjoyed by seasoned researchers interested in learning about recent advances in the above fields.

Advances in Disordered Systems, Random Processes and Some Applications

Author : Pierluigi Contucci
Publisher : Cambridge University Press
ISBN 13 : 1107124107
Total Pages : 383 pages
Book Rating : 4.1/5 (71 download)

DOWNLOAD NOW!

Book Synopsis Advances in Disordered Systems, Random Processes and Some Applications by : Pierluigi Contucci

Download or read book Advances in Disordered Systems, Random Processes and Some Applications written by Pierluigi Contucci and published by Cambridge University Press. This book was released on 2016-12-15 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a unified perspective on the study of complex systems with contributions written by leading scientists from various disciplines, including mathematics, physics, computer science, biology, economics and social science. It is written for researchers from a broad range of scientific fields with an interest in recent developments in complex systems.

Random Walks, Critical Phenomena, and Triviality in Quantum Field Theory

Author : Roberto Fernandez
Publisher : Springer Science & Business Media
ISBN 13 : 3662028662
Total Pages : 446 pages
Book Rating : 4.6/5 (62 download)

DOWNLOAD NOW!

Book Synopsis Random Walks, Critical Phenomena, and Triviality in Quantum Field Theory by : Roberto Fernandez

Download or read book Random Walks, Critical Phenomena, and Triviality in Quantum Field Theory written by Roberto Fernandez and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Simple random walks - or equivalently, sums of independent random vari ables - have long been a standard topic of probability theory and mathemat ical physics. In the 1950s, non-Markovian random-walk models, such as the self-avoiding walk,were introduced into theoretical polymer physics, and gradu ally came to serve as a paradigm for the general theory of critical phenomena. In the past decade, random-walk expansions have evolved into an important tool for the rigorous analysis of critical phenomena in classical spin systems and of the continuum limit in quantum field theory. Among the results obtained by random-walk methods are the proof of triviality of the cp4 quantum field theo ryin space-time dimension d (::::) 4, and the proof of mean-field critical behavior for cp4 and Ising models in space dimension d (::::) 4. The principal goal of the present monograph is to present a detailed review of these developments. It is supplemented by a brief excursion to the theory of random surfaces and various applications thereof. This book has grown out of research carried out by the authors mainly from 1982 until the middle of 1985. Our original intention was to write a research paper. However, the writing of such a paper turned out to be a very slow process, partly because of our geographical separation, partly because each of us was involved in other projects that may have appeared more urgent.

Random Walks, Brownian Motion, and Interacting Particle Systems

Author : H. Kesten
Publisher : Springer Science & Business Media
ISBN 13 : 1461204593
Total Pages : 457 pages
Book Rating : 4.4/5 (612 download)

DOWNLOAD NOW!

Book Synopsis Random Walks, Brownian Motion, and Interacting Particle Systems by : H. Kesten

Download or read book Random Walks, Brownian Motion, and Interacting Particle Systems written by H. Kesten and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of articles is dedicated to Frank Spitzer on the occasion of his 65th birthday. The articles, written by a group of his friends, colleagues, former students and coauthors, are intended to demonstrate the major influence Frank has had on probability theory for the last 30 years and most likely will have for many years to come. Frank has always liked new phenomena, clean formulations and elegant proofs. He has created or opened up several research areas and it is not surprising that many people are still working out the consequences of his inventions. By way of introduction we have reprinted some of Frank's seminal articles so that the reader can easily see for himself the point of origin for much of the research presented here. These articles of Frank's deal with properties of Brownian motion, fluctuation theory and potential theory for random walks, and, of course, interacting particle systems. The last area was started by Frank as part of the general resurgence of treating problems of statistical mechanics with rigorous probabilistic tools.

Non-equilibrium Statistical Physics with Application to Disordered Systems

Author : Manuel Osvaldo Cáceres
Publisher : Springer
ISBN 13 : 3319515535
Total Pages : 556 pages
Book Rating : 4.3/5 (195 download)

DOWNLOAD NOW!

Book Synopsis Non-equilibrium Statistical Physics with Application to Disordered Systems by : Manuel Osvaldo Cáceres

Download or read book Non-equilibrium Statistical Physics with Application to Disordered Systems written by Manuel Osvaldo Cáceres and published by Springer. This book was released on 2017-03-07 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is the result of the enhancement of several courses on non-equilibrium statistics, stochastic processes, stochastic differential equations, anomalous diffusion and disorder. The target audience includes students of physics, mathematics, biology, chemistry, and engineering at undergraduate and graduate level with a grasp of the basic elements of mathematics and physics of the fourth year of a typical undergraduate course. The little-known physical and mathematical concepts are described in sections and specific exercises throughout the text, as well as in appendices. Physical-mathematical motivation is the main driving force for the development of this text. It presents the academic topics of probability theory and stochastic processes as well as new educational aspects in the presentation of non-equilibrium statistical theory and stochastic differential equations.. In particular it discusses the problem of irreversibility in that context and the dynamics of Fokker-Planck. An introduction on fluctuations around metastable and unstable points are given. It also describes relaxation theory of non-stationary Markov periodic in time systems. The theory of finite and infinite transport in disordered networks, with a discussion of the issue of anomalous diffusion is introduced. Further, it provides the basis for establishing the relationship between quantum aspects of the theory of linear response and the calculation of diffusion coefficients in amorphous systems.

Spin Glasses and Random Fields

Author : A. Peter Young
Publisher : World Scientific
ISBN 13 : 9810232403
Total Pages : 454 pages
Book Rating : 4.8/5 (12 download)

DOWNLOAD NOW!

Book Synopsis Spin Glasses and Random Fields by : A. Peter Young

Download or read book Spin Glasses and Random Fields written by A. Peter Young and published by World Scientific. This book was released on 1998 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last few years have seen many developments in the study of ?frustrated? systems, such as spin glasses and random fields. In addition, the application of the idea of spin glasses to other branches of physics, such as vortex lines in high temperature superconductors, protein folding, structural glasses, and the vulcanization of rubber, has been flourishing. The earlier reviews are several years old, so now is an appropriate time to summarize the recent developments. The articles in this book have been written by leading researchers and include theoretical and experimental studies, and large-scale numerical work (using state-of-the-art algorithms designed specifically for spin-glass-type problems), as well as analytical studies.

Spin Glasses And Random Fields

Author : Peter A Young
Publisher : World Scientific
ISBN 13 : 9814497266
Total Pages : 454 pages
Book Rating : 4.8/5 (144 download)

DOWNLOAD NOW!

Book Synopsis Spin Glasses And Random Fields by : Peter A Young

Download or read book Spin Glasses And Random Fields written by Peter A Young and published by World Scientific. This book was released on 1997-12-23 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last few years have seen many developments in the study of “frustrated” systems, such as spin glasses and random fields. In addition, the application of the idea of spin glasses to other branches of physics, such as vortex lines in high temperature superconductors, protein folding, structural glasses, and the vulcanization of rubber, has been flourishing. The earlier reviews are several years old, so now is an appropriate time to summarize the recent developments. The articles in this book have been written by leading researchers and include theoretical and experimental studies, and large-scale numerical work (using state-of-the-art algorithms designed specifically for spin-glass-type problems), as well as analytical studies.

Directed Polymers in Random Environments

Author : Francis Comets
Publisher : Springer
ISBN 13 : 3319504878
Total Pages : 199 pages
Book Rating : 4.3/5 (195 download)

DOWNLOAD NOW!

Book Synopsis Directed Polymers in Random Environments by : Francis Comets

Download or read book Directed Polymers in Random Environments written by Francis Comets and published by Springer. This book was released on 2017-01-26 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analyzing the phase transition from diffusive to localized behavior in a model of directed polymers in a random environment, this volume places particular emphasis on the localization phenomenon. The main questionis: What does the path of a random walk look like if rewards and penalties are spatially randomly distributed?This model, which provides a simplified version of stretched elastic chains pinned by random impurities, has attracted much research activity, but it (and its relatives) still holds many secrets, especially in high dimensions. It has non-gaussian scaling limits and it belongs to the so-called KPZ universality class when the space is one-dimensional. Adopting a Gibbsian approach, using general and powerful tools from probability theory, the discrete model is studied in full generality. Presenting the state-of-the art from different perspectives, and written in the form of a first course on the subject, this monograph is aimed at researchers in probability or statistical physics, but is also accessible to masters and Ph.D. students.

Encyclopedic Dictionary of Condensed Matter Physics

Author : Charles P. Poole, Jr.
Publisher : Academic Press
ISBN 13 : 0080545238
Total Pages : 1672 pages
Book Rating : 4.0/5 (85 download)

DOWNLOAD NOW!

Book Synopsis Encyclopedic Dictionary of Condensed Matter Physics by : Charles P. Poole, Jr.

Download or read book Encyclopedic Dictionary of Condensed Matter Physics written by Charles P. Poole, Jr. and published by Academic Press. This book was released on 2004-03-11 with total page 1672 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a translation and revision of the Original Russian version by Baryahktar. It covers all of the main fields involved in Condensed Matter Physics, such as crystallography, electrical properties, fluids, magnetism, material properties, optics, radiation, semiconductors, and superconductivity, as well as highlights of important related subjects such as quantum mechanics, spectroscopy, and statistical mechanics. Both theoretical and experimental aspects of condensed matter are covered in detail. The entries range from very short paragraphs on topics where definitions are needed, such as Bloch's law, clathrate compound, donor, domain, Kondo lattice, mean free path, and Wigner crystal, to long discussions of more general or more comprehensive topics such as antiferromagnetism, crystal lattice dynamics, dislocations, Fermi surface, Josephson effect, luminescence, magnetic films, phase transitions and semiconductors. The main theoretical approaches to Condensed Matter Physics are explained. There are several long tables on, for example, Bravais lattices, characteristics of magnetic materials, units of physical quantities, symmetry groups. The properties of the main elements of the periodic table are given. Numerous entries not covered by standard Solid State Physics texts o Self-similarity o The adiabatic approximation o Bistability Emphasis on materials not discussed in standard texts o Activated carborn o Austenite o Bainite o Calamitics o Carbine o Delat phase o Discotics o Gunier-Preston zones o Heterodesmic structures o Heusler Alloys o Stress and strain deviators o Vicalloy · Each entry is fully cross-referenced to help tracking down all aspects of a topic under investigation Highly illustrated to clarify many concepts

Topics in Percolative and Disordered Systems

Author : Alejandro F. Ramírez
Publisher : Springer
ISBN 13 : 149390339X
Total Pages : 178 pages
Book Rating : 4.4/5 (939 download)

DOWNLOAD NOW!

Book Synopsis Topics in Percolative and Disordered Systems by : Alejandro F. Ramírez

Download or read book Topics in Percolative and Disordered Systems written by Alejandro F. Ramírez and published by Springer. This book was released on 2014-06-16 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume features selected and peer-reviewed articles from the Pan-American Advanced Studies Institute (PASI). The chapters are written by international specialists who participated in the conference. Topics include developments based on breakthroughs in the mathematical understanding of phenomena describing systems in highly inhomogeneous and disordered media, including the KPZ universality class (describing the evolution of interfaces in two dimensions), random walks in random environment and percolative systems. PASI fosters a collaboration between North American and Latin American researchers and students. The conference that inspired this volume took place in January 2012 in both Santiago de Chile and Buenos Aires. Researchers and graduate students will find timely research in probability theory, statistical physics and related disciplines.

Gaussian Processes on Trees

Author : Anton Bovier
Publisher : Cambridge University Press
ISBN 13 : 1107160499
Total Pages : 211 pages
Book Rating : 4.1/5 (71 download)

DOWNLOAD NOW!

Book Synopsis Gaussian Processes on Trees by : Anton Bovier

Download or read book Gaussian Processes on Trees written by Anton Bovier and published by Cambridge University Press. This book was released on 2017 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents recent advances in branching Brownian motion from the perspective of extreme value theory and statistical physics, for graduates.

Genealogies of Interacting Particle Systems

Author : Matthias Birkner
Publisher : World Scientific
ISBN 13 : 9811206090
Total Pages : 363 pages
Book Rating : 4.8/5 (112 download)

DOWNLOAD NOW!

Book Synopsis Genealogies of Interacting Particle Systems by : Matthias Birkner

Download or read book Genealogies of Interacting Particle Systems written by Matthias Birkner and published by World Scientific. This book was released on 2020 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Interacting particle systems are Markov processes involving infinitely many interacting components. Since their introduction in the 1970s, researchers have found many applications in statistical physics and population biology. Genealogies, which follow the origin of the state of a site backwards in time, play an important role in their studies, especially for the biologically motivated systems. The program Genealogies of Interacting Particle Systems held at the Institute for Mathematical Sciences, National University of Singapore, from 17 July to 18 Aug 2017, brought together experts and young researchers interested in this modern topic. Central to the program were learning sessions where lecturers presented work outside of their own research, as well as a normal workshop "--Publisher's website.

Topics in Disordered Systems

Author : Charles M. Newman
Publisher : Birkhäuser
ISBN 13 : 3034889127
Total Pages : 93 pages
Book Rating : 4.0/5 (348 download)

DOWNLOAD NOW!

Book Synopsis Topics in Disordered Systems by : Charles M. Newman

Download or read book Topics in Disordered Systems written by Charles M. Newman and published by Birkhäuser. This book was released on 2012-12-06 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt: Disordered systems are statistical mechanics models in random environments. This lecture notes volume concerns the equilibrium properties of a few carefully chosen examples of disordered Ising models. The approach is that of probability theory and mathematical physics, but the subject matter is of interest also to condensed matter physicists, material scientists, applied mathematicians and theoretical computer scientists. (The two main types of systems considered are disordered ferromagnets and spin glasses. The emphasis is on questions concerning the number of ground states (at zero temperature) or the number of pure Gibbs states (at nonzero temperature). A recurring theme is that these questions are connected to interesting issues concerning percolation and related models of geometric/combinatorial probability. One question treated at length concerns the low temperature behavior of short-range spin glasses: whether and in what sense Parisi's analysis of the meanfield (or "infinite-range") model is relevant. Closely related is the more general conceptual issue of how to approach the thermodynamic (i.e., infinite volume) limit in systems which may have many complex competing states. This issue has been addressed in recent joint work by the author and Dan Stein and the book provides a mathematically coherent presentation of their approach.)

Probability Theory and Mathematical Statistics. Vol. 2

Author : B. Grigelionis
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3112319028
Total Pages : 624 pages
Book Rating : 4.1/5 (123 download)

DOWNLOAD NOW!

Book Synopsis Probability Theory and Mathematical Statistics. Vol. 2 by : B. Grigelionis

Download or read book Probability Theory and Mathematical Statistics. Vol. 2 written by B. Grigelionis and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-18 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "PROB. TH. MATH. ST. ( GRIGELIONIS) VOL. 2 PROC.5/1989 E-BOOK".

Statistical Mechanics of Classical and Disordered Systems

Author : Véronique Gayrard
Publisher : Springer Nature
ISBN 13 : 3030290778
Total Pages : 279 pages
Book Rating : 4.0/5 (32 download)

DOWNLOAD NOW!

Book Synopsis Statistical Mechanics of Classical and Disordered Systems by : Véronique Gayrard

Download or read book Statistical Mechanics of Classical and Disordered Systems written by Véronique Gayrard and published by Springer Nature. This book was released on 2019-09-15 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings of the conference Advances in Statistical Mechanics, held in Marseille, France, August 2018, focus on fundamental issues of equilibrium and non-equilibrium dynamics for classical mechanical systems, as well as on open problems in statistical mechanics related to probability, mathematical physics, computer science, and biology. Statistical mechanics, as envisioned more than a century ago by Boltzmann, Maxwell and Gibbs, has recently undergone stunning twists and developments which have turned this old discipline into one of the most active areas of truly interdisciplinary and cutting-edge research. The contributions to this volume, with their rather unique blend of rigorous mathematics and applications, outline the state-of-the-art of this success story in key subject areas of equilibrium and non-equilibrium classical and quantum statistical mechanics of both disordered and non-disordered systems. Aimed at researchers in the broad field of applied modern probability theory, this book, and in particular the review articles, will also be of interest to graduate students looking for a gentle introduction to active topics of current research.

Random Fields

Author : Erik Vanmarcke
Publisher : World Scientific
ISBN 13 : 9812562974
Total Pages : 363 pages
Book Rating : 4.8/5 (125 download)

DOWNLOAD NOW!

Book Synopsis Random Fields by : Erik Vanmarcke

Download or read book Random Fields written by Erik Vanmarcke and published by World Scientific. This book was released on 2010 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: Random variation is a fact of life that provides substance to a wide range of problems in the sciences, engineering, and economics. There is a growing need in diverse disciplines to model complex patterns of variation and interdependence using random fields, as both deterministic treatment and conventional statistics are often insufficient. An ideal random field model will capture key features of complex random phenomena in terms of a minimum number of physically meaningful and experimentally accessible parameters. This volume, a revised and expanded edition of an acclaimed book first published by the M I T Press, offers a synthesis of methods to describe and analyze and, where appropriate, predict and control random fields. There is much new material, covering both theory and applications, notably on a class of probability distributions derived from quantum mechanics, relevant to stochastic modeling in fields such as cosmology, biology and system reliability, and on discrete-unit or agent-based random processes.Random Fields is self-contained and unified in presentation. The first edition was found, in a review in EOS (American Geophysical Union) to be ?both technically interesting and a pleasure to read ? the presentation is clear and the book should be useful to almost anyone who uses random processes to solve problems in engineering or science ? and (there is) continued emphasis on describing the mathematics in physical terms.?

Random Graphs, Phase Transitions, and the Gaussian Free Field

Author : Martin T. Barlow
Publisher : Springer Nature
ISBN 13 : 3030320111
Total Pages : 421 pages
Book Rating : 4.0/5 (33 download)

DOWNLOAD NOW!

Book Synopsis Random Graphs, Phase Transitions, and the Gaussian Free Field by : Martin T. Barlow

Download or read book Random Graphs, Phase Transitions, and the Gaussian Free Field written by Martin T. Barlow and published by Springer Nature. This book was released on 2019-12-03 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 2017 PIMS-CRM Summer School in Probability was held at the Pacific Institute for the Mathematical Sciences (PIMS) at the University of British Columbia in Vancouver, Canada, during June 5-30, 2017. It had 125 participants from 20 different countries, and featured two main courses, three mini-courses, and twenty-nine lectures. The lecture notes contained in this volume provide introductory accounts of three of the most active and fascinating areas of research in modern probability theory, especially designed for graduate students entering research: Scaling limits of random trees and random graphs (Christina Goldschmidt) Lectures on the Ising and Potts models on the hypercubic lattice (Hugo Duminil-Copin) Extrema of the two-dimensional discrete Gaussian free field (Marek Biskup) Each of these contributions provides a thorough introduction that will be of value to beginners and experts alike.