马尔可夫半群的残差和一致遍历性

IF 1.2 3区数学 Q1 MATHEMATICS

Annals of Functional Analysis Pub Date : 2024-12-20 DOI:10.1007/s43034-024-00398-x

Nazife Erkurşun-Özcan, Farrukh Mukhamedov

引用次数: 0

摘要

本研究的主要目的是利用扩展的Dobrushin遍历系数来探讨定义在抽象状态空间上的一致p遍历马尔可夫半群集的残差。此外，我们研究了Doeblin条件下马尔可夫半群的均匀平均遍历性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Residualities and uniform ergodicities of Markov semigroups

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.

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来源期刊

Annals of Functional Analysis MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.00

自引率

10.00%

发文量

期刊介绍： Annals of Functional Analysis is published by Birkhäuser on behalf of the Tusi Mathematical Research Group. Ann. Funct. Anal. is a peer-reviewed electronic journal publishing papers of high standards with deep results, new ideas, profound impact, and significant implications in all areas of functional analysis and all modern related topics (e.g., operator theory). Ann. Funct. Anal. normally publishes original research papers numbering 18 or fewer pages in the journal’s style. Longer papers may be submitted to the Banach Journal of Mathematical Analysis or Advances in Operator Theory. Ann. Funct. Anal. presents the best paper award yearly. The award in the year n is given to the best paper published in the years n-1 and n-2. The referee committee consists of selected editors of the journal.