有限集上的亚稳定性与凝聚零程过程
Meta-stability and condensed zero-range processes on finite sets
摘要:
本文给出了亚稳定的定义,并得到了有限状态空间上马氏过程序列是亚稳定的充分条件。在可逆的情况下,这些条件减少到某些亚稳定集的容量和测量的估计。证明了一类具有渐近递减跳率的凝聚零程过程是亚稳定的。
英文摘要:
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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