CORRELATION FUNCTIONS AND INVARIANT MEASURES IN CONTINUOUS CONTACT MODEL-Reference-Cited by-同舟云学术

CORRELATION FUNCTIONS AND INVARIANT MEASURES IN CONTINUOUS CONTACT MODEL

Published:2008-06 Issue:02 Volume:11 Page:231-258
ISSN:0219-0257
Container-title:Infinite Dimensional Analysis, Quantum Probability and Related Topics
language:en
Short-container-title:Infin. Dimens. Anal. Quantum. Probab. Relat. Top.

Author:

KONDRATIEV YURI¹,KUTOVIY OLEKSANDR¹,PIROGOV SERGEY²

Affiliation:

1. Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, Research Center BiBoS, Universität Bielefeld, Bielefeld 33615, Germany

2. Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia

Abstract

We study the continuous version of the contact model. Using an analytic approach, we construct the non-equilibrium contact process as a Markov process on configuration space. The construction is based on the analysis of correlation functions evolution. The problem concerning invariant measures as well as asymptotics of correlation functions are also studied.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219025708003038

Reference16 articles.

1. The Theory of Stochastic Processes II

2. HARMONIC ANALYSIS ON CONFIGURATION SPACE I: GENERAL THEORY

3. On the metrical properties of the configuration space

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