Existence and Uniqueness of Denumerable Markov Processes with Instantaneous States

作     者：Wu, Xiaohan Chen, Anyue Li, Junping 

作者机构：Liaocheng Univ Sch Math Sci Liaocheng 252059 Peoples R China Harbin Inst Technol Dept Math Harbin 150001 Peoples R China Southern Univ Sci & Technol Dept Math Shenzhen 518055 Peoples R China Southern Univ Sci & Technol Dept Math Xue Yuan Blvd 1088 Shenzhen 518055 Peoples R China Univ Liverpool Dept Math Sci Peach St Liverpool L69 7ZL England Cent South Univ Sch Math & Stat Changsha 410083 Peoples R China 

出 版 物：《JOURNAL OF THEORETICAL PROBABILITY》 (理论概率杂志)

年 卷 期：2024年第37卷第1期

页      面：511-532页

核心收录：

学科分类：07[理学] 0714[理学-统计学（可授理学、经济学学位）] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：National Natural Sciences Foundation of China [11771452  11971486] 

主　　题：Denumerable Markov processes Transition functions Resolvent Taboo probabilities Existence Uniqueness 

摘      要：Based on the resolvent decomposition theorems presented very recently by Chen (J Theor Probab 33:2089-2118, 2020), in this paper we focus on investigating the fundamental problems of existence and uniqueness criteria for Denumerable Markov Processes with finitely many instantaneous states. Some elegant sufficient and necessary conditions are obtained for this less-investigated topic. A few important examples including the generalized Kolmogorov models are presented to illustrate our general results.