Ergodic convergence rates for time-changed symmetric Lévy processes in dimension one

2021/09/03 by Wang, Tao
#60G51 47A75 35P15 #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.2109.01331

Abstract

We obtain the lower bounds for ergodic convergence rates, including spectral gaps and convergence rates in strong ergodicity for time-changed symmetric Lévy processes by using harmonic function and reversible measure. As direct applications, explicit sufficient conditions for exponential and strong ergodicity are given. Some examples are also presented.

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