
























Abstract:For non-Feller Markov kernels satisfying a quasi-Feller factorization, the compact-petite-set criterion gives petite compact sets under \(\psi\)-irreducibility when the support of \(\psi\) has non-empty interior. Thus, for coercive Lyapunov functions, the sublevel sets used in the Harris--Lyapunov argument are petite. Under aperiodicity they are small. The Hairer--Mattingly contraction theorem then yields geometric ergodicity in weighted total variation under the usual geometric drift condition.
From: Jean-Gabriel Attali [view email]
[v1]
Mon, 22 Jun 2026 12:10:13 UTC (7 KB)
此内容由惯性聚合(RSS阅读器)自动聚合整理,仅供阅读参考。 原文来自 — 版权归原作者所有。