Residualities and uniform ergodicities of Markov semigroups

ERKURŞUN ÖZCAN N., Mukhamedov F.

ANNALS OF FUNCTIONAL ANALYSIS, vol.16, no.1, 2025 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 16 Issue: 1
  • Publication Date: 2025
  • Doi Number: 10.1007/s43034-024-00398-x
  • Journal Name: ANNALS OF FUNCTIONAL ANALYSIS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Hacettepe University Affiliated: Yes

Abstract

The primary objective of this research is to use an extended Dobrushin ergodicity coefficient to explore residualities of the set of uniform P-ergodic Markov semigroups defined on abstract state spaces. Moreover, we investigate uniform mean ergodicities of Markov semigroups under the Doeblin's Condition.