The Fundamental Solution to the Wright-fisher Equation
Name
Chen-2010-THE FUNDAMENTAL SOLU.pdf
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315.92 KB
Format
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Author(s) •
Chen, Linan
Stroock, Daniel W.
Alternative Title
THE FUNDAMENTAL SOLUTION TO THE WRIGHT-FISHER EQUATION
Date Issued
March 2010
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
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1137/090764207