Feller processes on nonlocally compact spaces

• 成果类型: Article
• 署名作者: Szarek, Tomasz
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/009117906000000313
• 发表日期: 2006
• 页码: 1849-1863
• 关键词: invariant-measures; Markov operators; STABILITY; CONVERGENCE; EXISTENCE; THEOREMS; systems

摘要

We consider Feller processes on a complete separable metric space X satisfying the ergodic condition of the form limsup n ->infinity (1/n Sigma P-n(i=1)i(x, 0)) > 0 for some x epsilon X, where O is an arbitrary open neighborhood of some point z epsilon X and P is a transition function. It is shown that e-chains which satisfy the above condition admit an invariant probability measure. Some results on the stability of such processes are also presented.