Asymptotic stability and mean ergodicity of Feller processes on Polish spaces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912715115593728 |
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| author | Liu, Ziyu Wan, Jiehao |
| author_facet | Liu, Ziyu Wan, Jiehao |
| contents | This article establishes several necessary and sufficient criteria on asymptotic stability and mean ergodicity in various types of topologies for Feller processes taking values in Polish spaces. In particular, asymptotic stability and mean ergodicity in Wasserstein distance and weighted total variation distance are considered. The characterizations are formulated by using the notions of generalized eventual continuity properties and lower bound conditions, where the proofs invoke the coupling approach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_13404 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Asymptotic stability and mean ergodicity of Feller processes on Polish spaces Liu, Ziyu Wan, Jiehao Probability This article establishes several necessary and sufficient criteria on asymptotic stability and mean ergodicity in various types of topologies for Feller processes taking values in Polish spaces. In particular, asymptotic stability and mean ergodicity in Wasserstein distance and weighted total variation distance are considered. The characterizations are formulated by using the notions of generalized eventual continuity properties and lower bound conditions, where the proofs invoke the coupling approach. |
| title | Asymptotic stability and mean ergodicity of Feller processes on Polish spaces |
| topic | Probability |
| url | https://arxiv.org/abs/2511.13404 |