Monatshefte für Mathematik

, Volume 146, Issue 4, pp 267-278

Recombination Semigroups on Measure Spaces

  • Michael BaakeAffiliated withUniversity of Bielefeld

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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.

2000 Mathematics Subject Classification: 92D10, 34L30; 37N30, 06A07, 60J25
Key words: Recombination, nonlinear ODEs, positive semigroups, measure-valued dynamical systems, Möbius inversion