Large Deviations and Quasi-Potential of a Fleming-Viot Process
Shui Feng, McMaster University
Jie Xiong, University of Tennessee
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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