Recombination Semigroups on Measure Spaces

• Autores: Michael Baake
• Localización: Monatshefte für mathematik, ISSN 0026-9255, Vol. 146, Nº 4, 2005, págs. 267-278
• Idioma: inglés
• DOI: 10.1007/s00605-005-0326-z
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• Resumen

  • 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