-PDF Download- Scaling Limits Of Interacting Particle Systems EBOOK

Scaling Limits of Interacting Particle Systems

Author: Claude Kipnis

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 453

ISBN-13: 3662037521

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.

Interacting Particle Systems

Author: Thomas M. Liggett

Publisher: Springer Science & Business Media

Published: 2006-01-09

Total Pages: 514

ISBN-13: 3540269622

DOWNLOAD EBOOK →

From the reviews "This book presents a complete treatment of a new class of random processes, which have been studied intensively during the last fifteen years. None of this material has ever appeared in book form before. The high quality of this work [...] makes a fascinating subject and its open problem as accessible as possible." Mathematical Reviews

Quantum Interacting Particle Systems

Author:

Publisher:

Published:

Total Pages:

ISBN-13: 9814487848

DOWNLOAD EBOOK →

Large Scale Dynamics of Interacting Particles

Author: Herbert Spohn

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 346

ISBN-13: 3642843719

DOWNLOAD EBOOK →

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.

From Particle Systems to Partial Differential Equations

Author: Cédric Bernardin

Publisher: Springer Nature

Published: 2021-05-30

Total Pages: 400

ISBN-13: 3030697843

DOWNLOAD EBOOK →

This book includes the joint proceedings of the International Conference on Particle Systems and PDEs VI, VII and VIII. Particle Systems and PDEs VI was held in Nice, France, in November/December 2017, Particle Systems and PDEs VII was held in Palermo, Italy, in November 2018, and Particle Systems and PDEs VIII was held in Lisbon, Portugal, in December 2019. Most of the papers are dealing with mathematical problems motivated by different applications in physics, engineering, economics, chemistry and biology. They illustrate methods and topics in the study of particle systems and PDEs and their relation. The book is recommended to probabilists, analysts and to those mathematicians in general, whose work focuses on topics in mathematical physics, stochastic processes and differential equations, as well as to those physicists who work in statistical mechanics and kinetic theory.

Stochastic Interacting Systems: Contact, Voter and Exclusion Processes

Author: Thomas M. Liggett

Publisher: Springer Science & Business Media

Published: 1999-08-13

Total Pages: 356

ISBN-13: 9783540659952

DOWNLOAD EBOOK →

Interactive Particle Systems is a branch of Probability Theory with close connections to Mathematical Physics and Mathematical Biology. In 1985, the author wrote a book (T. Liggett, Interacting Particle System, ISBN 3-540-96069) that treated the subject as it was at that time. The present book takes three of the most important models in the area, and traces advances in our understanding of them since 1985. In so doing, many of the most useful techniques in the field are explained and developed, so that they can be applied to other models and in other contexts. Extensive Notes and References sections discuss other work on these and related models. Readers are expected to be familiar with analysis and probability at the graduate level, but it is not assumed that they have mastered the material in the 1985 book. This book is intended for graduate students and researchers in Probability Theory, and in related areas of Mathematics, Biology and Physics.

Interacting Particle Systems

Author: Thomas Milton Liggett

Publisher:

Published: 1983

Total Pages: 488

ISBN-13:

DOWNLOAD EBOOK →

Scaling Limits in Statistical Mechanics and Microstructures in Continuum Mechanics

Author: Errico Presutti

Publisher: Springer Science & Business Media

Published: 2008-11-01

Total Pages: 478

ISBN-13: 3540733051

DOWNLOAD EBOOK →

Collective behavior in systems with many components, blow-ups with emergence of microstructures are proofs of the double, continuum and atomistic, nature of macroscopic systems, an issue which has always intrigued scientists and philosophers. Modern technologies have made the question more actual and concrete with recent, remarkable progresses also from a mathematical point of view. The book focuses on the links connecting statistical and continuum mechanics and, starting from elementary introductions to both theories, it leads to actual research themes. Mathematical techniques and methods from probability, calculus of variations and PDE are discussed at length.

Stochastic Dynamics Out of Equilibrium

Author: Giambattista Giacomin

Publisher: Springer

Published: 2019-06-30

Total Pages: 649

ISBN-13: 3030150968

DOWNLOAD EBOOK →

Stemming from the IHP trimester "Stochastic Dynamics Out of Equilibrium", this collection of contributions focuses on aspects of nonequilibrium dynamics and its ongoing developments. It is common practice in statistical mechanics to use models of large interacting assemblies governed by stochastic dynamics. In this context "equilibrium" is understood as stochastically (time) reversible dynamics with respect to a prescribed Gibbs measure. Nonequilibrium dynamics correspond on the other hand to irreversible evolutions, where fluxes appear in physical systems, and steady-state measures are unknown. The trimester, held at the Institut Henri Poincaré (IHP) in Paris from April to July 2017, comprised various events relating to three domains (i) transport in non-equilibrium statistical mechanics; (ii) the design of more efficient simulation methods; (iii) life sciences. It brought together physicists, mathematicians from many domains, computer scientists, as well as researchers working at the interface between biology, physics and mathematics. The present volume is indispensable reading for researchers and Ph.D. students working in such areas.

From Particle Systems to Partial Differential Equations III

Author: Patrícia Gonçalves

Publisher: Springer

Published: 2016-07-16

Total Pages: 350

ISBN-13: 3319321447

DOWNLOAD EBOOK →

The main focus of this book is on different topics in probability theory, partial differential equations and kinetic theory, presenting some of the latest developments in these fields. It addresses mathematical problems concerning applications in physics, engineering, chemistry and biology that were presented at the Third International Conference on Particle Systems and Partial Differential Equations, held at the University of Minho, Braga, Portugal in December 2014. The purpose of the conference was to bring together prominent researchers working in the fields of particle systems and partial differential equations, providing a venue for them to present their latest findings and discuss their areas of expertise. Further, it was intended to introduce a vast and varied public, including young researchers, to the subject of interacting particle systems, its underlying motivation, and its relation to partial differential equations. This book will appeal to probabilists, analysts and those mathematicians whose work involves topics in mathematical physics, stochastic processes and differential equations in general, as well as those physicists whose work centers on statistical mechanics and kinetic theory.