Meta-stability and condensed zero-range processes on finite sets

Details Meta-stability and condensed zero-range processes on finite sets Meta-stability and condensed zero-range processes on finite sets

2008-02-15

arxiv.org/abs/0802.2171v1

Mathematics

Probability

Scientific paper

We propose a definition o meta-stability and obtain sufficient conditions for
a sequence of Markov processes on finite state spaces to be meta-stable. In the
reversible case, these conditions reduce to estimates of the capacity and the
measure of certain meta-stable sets. We prove that a class of condensed
zero-range processes with asymptotically decreasing jump rates is meta-stable.

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