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arXiv · 2004.12826

On Subexponential Convergence to Equilibrium of Markov Processes

Armand Bernou
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Abstract

Studying the subexponential convergence towards equilibrium of a strong Markov process, we exhibit an intermediate Lyapunov condition equivalent to the control of some moment of a hitting time. This provides a link, similar (although more intricate) to the one existing in the exponential case, between the coupling method and the approach based on the existence of a Lyapunov function for the generator, in the context of the subexponential rates found by Fort-Roberts (2005), Douc-Fort-Guillin (2009) and Hairer (2016).

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Armand Bernou. 2021-08-02. On Subexponential Convergence to Equilibrium of Markov Processes. https://arxiv.org/abs/2004.12826

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