A Note on Feller Semigroups and Resolvents
Vadim Kostrykin, J\"urgen Potthoff, Robert Schrader
TL;DR
This paper discusses the conditions under which a semigroup or resolvent generated by a Markov process qualifies as a Feller semigroup, providing equivalent criteria for this classification.
Contribution
It offers new insights into the equivalence of conditions characterizing Feller semigroups and resolvents in Markov process theory.
Findings
Identifies equivalent conditions for Feller semigroups
Clarifies the relationship between semigroups and resolvents
Provides theoretical criteria for Feller property
Abstract
Various equivalent conditions for a semigroup or a resolvent generated by a Markov process to be of Feller type are given.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
Topicssemigroups and automata theory · Mathematical Dynamics and Fractals · Fixed Point Theorems Analysis