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李增沪

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期刊论文

A REVERSIBILITY PROBLEM FOR FLEMING-VIOT PROCESSES

李增沪Zenghu LI Tokuzo SHIGA Lihua YAO

Electronic Communications in Probability 4 (1999), 65-76,-0001,():

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摘要/描述

Fleming-Viot processes incorporating mutation and selection are considered. It is well-known that if the mutation factor is of uniform type, the processes have a reversible stationary distribution, and it has been an open problem to characterize the class of the processes that have a reversible stationary distributions. This paper proves that if the Fleming-Viot process has a reversible stationary distribution, then the associated mutation operator is of uniform type.

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