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Large deviations and quasi-potential of a Fleming-Viot process. (English) Zbl 1008.60048
Summary: 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.

MSC:
60F10 Large deviations
92D10 Genetics and epigenetics
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