Spectral gap for jump processes by decomposition method

Abstract

By using a decomposition method, we give a criterion for the spectral gap of the reversible general jump process. This criterion enables us to obtain the lower bound for the spectral gap via Lyapunov drift condition. Some examples are presented to illustrate the results.

Keywords

Jump process / Dirichlet form / decomposition method / spectral gap / Lyapunov condition

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