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2002 Large Deviations and Quasi-Potential of a Fleming-Viot Process
Shui Feng, Jie Xiong
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Electron. Commun. Probab. 7: 13-25 (2002). DOI: 10.1214/ECP.v7-1043

Abstract

The large deviation principle is established for the Fleming-Viot process with neutral mutation when the process starts from a point on the boundary. Since the diffusion coefficient is degenerate on the boundary, the boundary behavior of the process is investigated in detail. This leads to the explicit identification of the rate function, the quasi-potential, and the structure of the effective domain of the rate function.

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Shui Feng. Jie Xiong. "Large Deviations and Quasi-Potential of a Fleming-Viot Process." Electron. Commun. Probab. 7 13 - 25, 2002. https://doi.org/10.1214/ECP.v7-1043

Information

Accepted: 7 January 2002; Published: 2002
First available in Project Euclid: 16 May 2016

zbMATH: 1008.60048
MathSciNet: MR1887170
Digital Object Identifier: 10.1214/ECP.v7-1043

Subjects:
Primary: 60F10
Secondary: 92D10

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