The Fundamental Solution to the Wright-fisher Equation

Author(s)
Chen, Linan; Stroock, Daniel W.
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THE FUNDAMENTAL SOLUTION TO THE WRIGHT-FISHER EQUATION
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Abstract
The Wright–Fisher equation, which was introduced as a model to study demography in the presence of diffusion, has had a renaissance as a model for the migration of alleles in the genome. Our goal in this paper is to give a careful analysis of the fundamental solution to the Wright–Fisher equation, with particular emphasis on its behavior for a short time near the boundary.
Date issued
2010-03
URI
http://hdl.handle.net/1721.1/58103
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
SIAM Journal on Mathematical Analysis
Publisher
Society for Industrial and Applied Mathematics
Citation
Chen, Linan, and Daniel W. Stroock. “The Fundamental Solution to the Wright--Fisher Equation.” SIAM Journal on Mathematical Analysis 42.2 (2010): 539-567. ©2010 Society for Industrial and Applied Mathematics.
Version: Final published version
ISSN
0036-1410
1095-7154
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