Upper escape rate of Markov chains on weighted graphs
説明
We obtain an upper escape rate function for a continuous time minimal symmetric Markov chain, defined on a locally finite weighted graph. This upper rate function is given in terms of volume growth with respect to an adapted path metric and has the same form as the manifold setting. Our approach also gives a slightly more restrictive form of Folz's theorem on conservativeness as a consequence.
収録刊行物
-
- Stochastic Processes and their Applications
-
Stochastic Processes and their Applications 124 (1), 317-347, 2014-01
Elsevier BV
- Tweet
キーワード
詳細情報 詳細情報について
-
- CRID
- 1360004232509233024
-
- ISSN
- 03044149
-
- データソース種別
-
- Crossref
- KAKEN
- OpenAIRE