Interacting Particle Systems
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Author |
: T.M. Liggett |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 499 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9781461385424 |
ISBN-13 |
: 1461385423 |
Rating |
: 4/5 (24 Downloads) |
Synopsis Interacting Particle Systems by : T.M. Liggett
At what point in the development of a new field should a book be written about it? This question is seldom easy to answer. In the case of interacting particle systems, important progress continues to be made at a substantial pace. A number of problems which are nearly as old as the subject itself remain open, and new problem areas continue to arise and develop. Thus one might argue that the time is not yet ripe for a book on this subject. On the other hand, this field is now about fifteen years old. Many important of several basic models is problems have been solved and the analysis almost complete. The papers written on this subject number in the hundreds. It has become increasingly difficult for newcomers to master the proliferating literature, and for workers in allied areas to make effective use of it. Thus I have concluded that this is an appropriate time to pause and take stock of the progress made to date. It is my hope that this book will not only provide a useful account of much of this progress, but that it will also help stimulate the future vigorous development of this field.
Author |
: Claude Kipnis |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 453 |
Release |
: 2013-03-09 |
ISBN-10 |
: 9783662037522 |
ISBN-13 |
: 3662037521 |
Rating |
: 4/5 (22 Downloads) |
Synopsis Scaling Limits of Interacting Particle Systems by : Claude Kipnis
This book has been long awaited in the "interacting particle systems" community. Begun by Claude Kipnis before his untimely death, it was completed by Claudio Landim, his most brilliant student and collaborator. It presents the techniques used in the proof of the hydrodynamic behavior of interacting particle systems.
Author |
: Thomas M. Liggett |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 346 |
Release |
: 2013-03-09 |
ISBN-10 |
: 9783662039908 |
ISBN-13 |
: 3662039907 |
Rating |
: 4/5 (08 Downloads) |
Synopsis Stochastic Interacting Systems: Contact, Voter and Exclusion Processes by : Thomas M. Liggett
Interactive particle systems is a branch of probability theory with close connections to mathematical physics and mathematical biology. This book takes three of the most important models in the area, and traces advances in our understanding of them since 1985. It explains and develops many of the most useful techniques in the field.
Author |
: Pierre Del Moral |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 584 |
Release |
: 2004-03-30 |
ISBN-10 |
: 0387202684 |
ISBN-13 |
: 9780387202686 |
Rating |
: 4/5 (84 Downloads) |
Synopsis Feynman-Kac Formulae by : Pierre Del Moral
This text takes readers in a clear and progressive format from simple to recent and advanced topics in pure and applied probability such as contraction and annealed properties of non-linear semi-groups, functional entropy inequalities, empirical process convergence, increasing propagations of chaos, central limit, and Berry Esseen type theorems as well as large deviation principles for strong topologies on path-distribution spaces. Topics also include a body of powerful branching and interacting particle methods.
Author |
: Herbert Spohn |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 346 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9783642843716 |
ISBN-13 |
: 3642843719 |
Rating |
: 4/5 (16 Downloads) |
Synopsis Large Scale Dynamics of Interacting Particles by : Herbert Spohn
This book deals with one of the fundamental problems of nonequilibrium statistical mechanics: the explanation of large-scale dynamics (evolution differential equations) from models of a very large number of interacting particles. This book addresses both researchers and students. Much of the material presented has never been published in book-form before.
Author |
: Thomas Milton Liggett |
Publisher |
: |
Total Pages |
: 488 |
Release |
: 1983 |
ISBN-10 |
: OCLC:665964367 |
ISBN-13 |
: |
Rating |
: 4/5 (67 Downloads) |
Synopsis Interacting Particle Systems by : Thomas Milton Liggett
Author |
: Thomas Milton Liggett |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 290 |
Release |
: 2010 |
ISBN-10 |
: 9780821849491 |
ISBN-13 |
: 0821849492 |
Rating |
: 4/5 (91 Downloads) |
Synopsis Continuous Time Markov Processes by : Thomas Milton Liggett
Markov processes are among the most important stochastic processes for both theory and applications. This book develops the general theory of these processes, and applies this theory to various special examples.
Author |
: H. Kesten |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 457 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9781461204596 |
ISBN-13 |
: 1461204593 |
Rating |
: 4/5 (96 Downloads) |
Synopsis Random Walks, Brownian Motion, and Interacting Particle Systems by : H. Kesten
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.
Author |
: Luigi Accardi |
Publisher |
: World Scientific |
Total Pages |
: 366 |
Release |
: 2002 |
ISBN-10 |
: 981238104X |
ISBN-13 |
: 9789812381040 |
Rating |
: 4/5 (4X Downloads) |
Synopsis Quantum Interacting Particle Systems by : Luigi Accardi
The dynamics of infinite classical lattice systems has been considered and has led to the study of the properties of ergodicity and convergence to equilibrium of a new class of Markov semigroups. Quantum analogues of these semigroups have also been considered. However, the problem of deriving these Markovian semigroups and, what is much more interesting, the associated stochastic flows, as limits of Hamiltonian systems, rather than postulating their form on a phenomenological basis, is essentially open both in the classical case and in the quantum case. This book presents a conjecture that, by coupling a quantum spin system in finite volume to a quantum field via a suitable interaction, applying the stochastic golden rule and taking the thermodynamic limit, one may obtain a class of quantum flows which, when restricted to an appropriate Abelian subalgebra, gives rise to the classical interacting particle systems studied in classical statistical mechanics.
Author |
: Percy Deift |
Publisher |
: Cambridge University Press |
Total Pages |
: 539 |
Release |
: 2014-12-15 |
ISBN-10 |
: 9781107079922 |
ISBN-13 |
: 1107079926 |
Rating |
: 4/5 (22 Downloads) |
Synopsis Random Matrix Theory, Interacting Particle Systems and Integrable Systems by : Percy Deift
This volume includes review articles and research contributions on long-standing questions on universalities of Wigner matrices and beta-ensembles.