详细信息
Wasserstein-Type Distances of Two-Type Continuous-State Branching Processes in Levy Random Environments ( SCI-EXPANDED收录)
文献类型:期刊文献
英文题名:Wasserstein-Type Distances of Two-Type Continuous-State Branching Processes in Levy Random Environments
作者:Chen, Shukai[1];Fang, Rongjuan[1];Zheng, Xiangqi[2]
机构:[1]Fujian Normal Univ, Coll Math & Stat, Fuzhou 350007, Peoples R China;[2]East China Univ Sci & Technol, Sch Math, Shanghai 200237, Peoples R China
年份:2023
卷号:36
期号:3
起止页码:1572
外文期刊名:JOURNAL OF THEORETICAL PROBABILITY
收录:;WOS:【SCI-EXPANDED(收录号:WOS:000905085500001)】;
基金:This work was supported by the National Natural Science Foundation of China (No. 11531001),the Education and Scientific Research Project for Young and Middle-aged Teachers in Fujian Province of China (No. JAT200072), the National Natural Science Foundation of China (No. 12201119), China Postdoctoral Science Foundation (No. 2022M720735) and the Special Fund for Central Universities (No.JGK00223001)
语种:英文
外文关键词:Exponential ergodicity; Wasserstein distance; Branching process; Random environment; Superprocess
摘要:Under natural conditions, we prove exponential ergodicity in the L-1-Wasserstein distance of two-type continuous-state branching processes in Levy random environments with immigration. Furthermore, we express precisely the parameters of the exponent. The coupling method and the conditioned branching property play an important role in the approach. Using the tool of superprocesses, ergodicity in total variation distance is also proved.
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