Interacting Particle Systems

Interacting Particle Systems PDF

Author: T.M. Liggett

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 499

ISBN-13: 1461385423

DOWNLOAD EBOOK →

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.

Scaling Limits of Interacting Particle Systems

Scaling Limits of Interacting Particle Systems PDF

Author: Claude Kipnis

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 453

ISBN-13: 3662037521

DOWNLOAD EBOOK →

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.

Stochastic Interacting Systems: Contact, Voter and Exclusion Processes

Stochastic Interacting Systems: Contact, Voter and Exclusion Processes PDF

Author: Thomas M. Liggett

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 346

ISBN-13: 3662039907

DOWNLOAD EBOOK →

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.

Large Scale Dynamics of Interacting Particles

Large Scale Dynamics of Interacting Particles PDF

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.

Feynman-Kac Formulae

Feynman-Kac Formulae PDF

Author: Pierre Del Moral

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 567

ISBN-13: 1468493930

DOWNLOAD EBOOK →

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.

Continuous Time Markov Processes

Continuous Time Markov Processes PDF

Author: Thomas Milton Liggett

Publisher: American Mathematical Soc.

Published: 2010

Total Pages: 290

ISBN-13: 0821849492

DOWNLOAD EBOOK →

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.

The 2000s Lyrics

The 2000s Lyrics PDF

Author: Hal Leonard Corp

Publisher: Paperback Lyrics

Published: 2006-09

Total Pages: 0

ISBN-13: 9781423411970

DOWNLOAD EBOOK →

(Paperback Lyrics). A compact collection of lyrics to 127 recent hits, including: Accidentally in Love * Always * Amazed * American Soldier * Are You Gonna Be My Girl * Beautiful * Behind These Hazel Eyes * Beverly Hills * Breathe (2 AM) * By the Way * Clocks * Complicated * Dance with My Father * Drops of Jupiter (Tell Me) * Get the Party Started * Hella Good * Hey Ya! * I Hope You Dance * Jenny from the Block * The Middle * Mr. Brightside * 1985 * 100 Years * The Real Slim Shady * Redneck Woman * She Bangs * So Yesterday * Stacy's Mom * A Thousand Miles * Underneath It All * You Raise Me Up * and more.