Recombination semigroups on measure spaces
Classical Analysis and ODEs
2012-10-15 v1 Populations and Evolution
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.
Cite
@article{arxiv.math/0506099,
title = {Recombination semigroups on measure spaces},
author = {Michael Baake},
journal= {arXiv preprint arXiv:math/0506099},
year = {2012}
}
Comments
15 pages