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On the normal-selection model. (English) Zbl 0912.92020

Donnelly, Peter (ed.) et al., Progress in population genetics and human evolution. Proceedings of the workshop on mathematical population genetics, held at the IMA, Minnesota, MN, USA, January 24–28, 1994. New York, NY: Springer. IMA Vol. Math. Appl. 87, 309-320 (1997).
The author studies the normal-selection population model in which every new mutant has a selection intensity normally distributed with mean 0 and positive definite variance. An attempt is made to provide a characterization of the stationary distribution of the resulting process. A couple of conjectures relating to the martingale property are stated without any outlines of proofs.
For the entire collection see [Zbl 0861.00030].

MSC:

92D10 Genetics and epigenetics
92D15 Problems related to evolution
60J70 Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.)
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