, Volume 146, Issue 4, pp 267-278
Date: 19 Oct 2005

Recombination Semigroups on Measure Spaces

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Abstract.

The dynamics of recombination in genetics leads to an interesting nonlinear differential equation, which has a natural generalization to a measure valued version. The latter can be solved explicitly under rather general circumstances. It admits a closed formula for the semigroup of nonlinear positive operators that emerges from the forward flow and is, in general, embedded in a multi-parameter semigroup.