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A measure valued diffusion process describing an n locus model incorporating gene conversion

Published online by Cambridge University Press:  22 January 2016

Akinobu Shimizu
Akinobu Shimizu*
Affiliation:
Department of Mathematics Nagoya Institute of Technology, Gokiso, Showa-ku Nagoya 466, Japan
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Probability measure valued diffusion processes have been discussed by many authors, in connection with population genetics. Most papers studying probability measure valued diffusions are mainly concerned with the ones describing single locus models. In this paper, we will discuss a measure valued diffusion describing an n locus model. Random sampling, mutation and gene conversion, a kind of interaction between loci, which was introduced and investigated by T. Ohta in [5], [6], will be taken into consideration.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 119 , September 1990 , pp. 81 - 92
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1990

References

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