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Residualities and uniform ergodicities of Markov semigroups

Functional Analysis 2025-09-23 v1 Probability

Abstract

The first goal of the present paper is to study residualities of the set of uniform PP-ergodic Markov semigroups defined on abstract state spaces by means of a generalized Dobrushin ergodicity coefficient. In the last part of the paper, we explore uniform mean ergodicities of Markov semigroups.

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Cite

@article{arxiv.2410.20741,
  title  = {Residualities and uniform ergodicities of Markov semigroups},
  author = {Nazife Erkurşun-Özcan and Farrukh Mukhamedov},
  journal= {arXiv preprint arXiv:2410.20741},
  year   = {2025}
}

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15 pages