CORRELATION FUNCTIONS AND INVARIANT MEASURES IN CONTINUOUS CONTACT MODEL
Yuri KondratievFakultät für Mathematik, Universität Bielefeld, Postfach 100131, Research Center BiBoS, Universität Bielefeld, Bielefeld 33615, GermanyOleksandr KutoviyFakultät für Mathematik, Universität Bielefeld, Postfach 100131, Research Center BiBoS, Universität Bielefeld, Bielefeld 33615, GermanyС. А. ПироговInstitute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia
2008en
ABI
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.
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