Recombination semigroups on measure spaces

Details Recombination semigroups on measure spaces Recombination semigroups on measure spaces

2005-06-06

arxiv.org/abs/math/0506099v1

Mathematics

Classical Analysis and ODEs

15 pages

Scientific paper

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.

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