2 edition of **Stochastic Interacting Systems: Contact, Voter and Exclusion Processes** found in the catalog.

- 202 Want to read
- 37 Currently reading

Published
**1999**
by Springer Berlin Heidelberg in Berlin, Heidelberg
.

Written in English

- Mathematics,
- Distribution (Probability theory)

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.

**Edition Notes**

Statement | by Thomas M. Liggett |

Series | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics -- 324, Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics -- 324 |

Classifications | |
---|---|

LC Classifications | QA273.A1-274.9, QA274-274.9 |

The Physical Object | |

Format | [electronic resource] / |

Pagination | 1 online resource (xii, 335 p.) |

Number of Pages | 335 |

ID Numbers | |

Open Library | OL27089415M |

ISBN 10 | 3642085296, 3662039907 |

ISBN 10 | 9783642085291, 9783662039908 |

OCLC/WorldCa | 851377458 |

[12] Thomas M. Liggett, Stochastic interacting systems: contact, voter and exclusion processes, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. , Springer-Verlag, Berlin, Author: Stephen B. Connor, Richard J. Pymar. Unlike traditional books presenting stochastic processes in an academic way, this book includes concrete applications that students will find interesting such as gambling, finance, physics, signal processing, statistics, fractals, and biology. Written with an important illustrated guide in the.

This book is a modern presentation of the 'semimartingale' or 'Lyapunov function' method applied to near-critical stochastic systems, exemplified by non-homogeneous random walks. Applications treat near-critical stochastic systems and range across modern probability theory from stochastic billiards models to interacting particle by: B Stochastic Processes. A stochastic process u(α) Interacting particle systems refer to the time evolution of families of processes for which the updating of each member of the family depends on the current values of the other members. The voter model and the exclusion process are discussed. Hydrodynamics deals with the study of particle.

Pages from Volume (), Issue 2 by Márton Balázs, Timo SeppäläinenCited by: A financial time series agent-based model is reproduced and investigated by the statistical physics system, the finite-range interacting voter system. The voter system originally describes the collective behavior of voters who constantly update their positions on a particular topic, which is a continuous-time Markov process. In the proposed model, the fluctuations of stock price changes are Cited by: 6.

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This book is intended for graduate students and researchers in Probability Theory, and in related areas of Mathematics, Biology and Physics. Keywords Exclusion Process Interacting Particle Systems Probability theory Voter Model contact process interacting particle system mathematical physics.

Stochastic Interacting Systems: Contact, Voter and Exclusion Processes (Grundlehren der mathematischen Wissenschaften) th Edition by Thomas M. Liggett (Author) › Visit Amazon's Thomas M.

Liggett Page. Find all the books, read about the author, and more. 3/5(1). Interactive Particle Systems is a branch of Probability Theory with close connections to Mathematical Physics and Mathematical Biology.

Inthe author wrote a book (T. Liggett, Interacting Particle System, ISBN ) that treated the subject as it was at that time. The present bookBrand: Springer-Verlag Berlin Heidelberg.

Find helpful customer reviews and review ratings for Stochastic Interacting Systems: Contact, Voter and Exclusion Processes (Grundlehren der mathematischen Wissenschaften) at Read honest and unbiased product reviews from our users.3/5(1).

The subject of interacting particle systems has continued to be the main focus of his research. He has written two books (the other is. Stochastic Interacting Systems: Contact, Voter and Exclusion Processes) and over 60 papers in this : Springer-Verlag Berlin Heidelberg.

Get this from a library. Stochastic interacting systems: contact, voter and exclusion processes. [Thomas Voter and Exclusion Processes book Liggett].

Additions and Corrections for Stochastic Interacting Systems: Contact, Voter and Exclusion Processes by Thomas M. Liggett (Thanks go to David Aldous, Paul Jung, George Kordzakhia, Steve Krone, and especially Jeﬀ Steif for their contributions to this list.) Page 5, lines ↑.

The q-matrix referred to here follows the usual convention. In: Stochastic Interacting Systems: Contact, Voter and Exclusion Processes. Grundlehren der mathematischen Wissenschaften (A Series of Comprehensive Studies in Mathematics), vol Springer, Berlin, Heidelberg. 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 It explains and develops many of Price: $ The contact process is a stochastic process used to model population growth on the set of sites of a graph in which occupied sites become vacant at a constant rate, while vacant sites become occupied at a rate proportional to the number of occupied neighboring sites.

Therefore, if we denote by the proportionality constant, each site remains occupied for a random time period which is. Stochastic Interacting Systems: Contact, Voter and Exclusion Processes by Thomas M. Liggett,available at Book Depository with free delivery : Thomas M. Liggett. Stochastic Interacting Systems: Contact, Voter and Exclusion Processes) and over 60 papers in this area.

He has also contributed to a number of other fields, including nonlinear semigroups, subadditive ergodic theory, negative dependence, optimal. Additions and corrections for my book "Stochastic Interacting Systems: Contact, Voter and Exclusion Processes". My new book, Continuous Time Markov Processes: An Introduction, was published in Winter,by the AMS.

For the contents and some sample pages from the preliminary version, click here. In probability theory, an interacting particle system (IPS) is a stochastic process (()) ∈ + on some configuration space = given by a site space, a countable-infinite graph and a local state space, a compact metric precisely IPS are continuous-time Markov jump processes describing the collective behavior of stochastically interacting components.

Hydrodynamic Limit for Exclusion Processes. Stochastic interacting systems: Contact, voter and exclusion processes. Article. V The Voter Model.- 1. Ergodic Theorems.-Author: Tadahisa Funaki. Stochastic Interacting Systems: Contact, Voter and Exclusion Processes Thomas M.

Liggett, Thomas M.q(Thomas Milton) Liggett Limited preview - All Book Search results »/5(8). Brownian Motion: An Introduction to Stochastic Processes, Edition 2 - Ebook written by René L.

Schilling, Lothar Partzsch. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Brownian Motion: An Introduction to Stochastic Processes, Edition 2.

Booktopia has Stochastic Interacting Systems, Contact, Voter and Exclusion Processes by Thomas M. Liggett. Buy a discounted Hardcover of Stochastic Interacting Systems online from Australia's leading online : Thomas M. Liggett. The symmetric exclusion process and the voter model are two interacting particle systems for which a dual finite particle system allows one to characterize its invariant : Paul Jung.

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 Price: $. instance Liggett [37] takes as examples the Voter model, Contact process, Exclusion process, Glauber dynamics for the Ising model, and the Potlatch process.

Our mathematical setup of FMIE process in Section is intended as a more precisely circumscribed class of processes to study.Stochastic Interacting Systems: Contact, Voter and Exclusion Processes, by Thomas M. Liggett (Springer, August, ) Thesaurus of Univariate Discrete Probability Distributions, by Gejza Wimmer and Gabriel Altmann (STAMM Verlag GmbH, Germany, ) Transformation of Measure on Wiener Space, by A.

S. Ustunel and M. Zakai (Springer, ) The general theory of interacting particles is described in the classic books by Tom Liggett: Interacting Particle Systems and Stochastic Interacting Systems: Contact, Voter and Exclusion Processs. Timo Seppäläinen's notes (a book in progress) on exclusion processes is also an excellent resource [pdf].