Recombination semigroups on measure spaces

被引：10
|
作者：
Baake, M [1 ]
机构：
[1] Univ Bielefeld, Fak Math, D-33501 Bielefeld, Germany
来源：
MONATSHEFTE FUR MATHEMATIK | 2005年 / 146卷 / 04期
关键词：
recombination; nonlinear ODEs; positive semigroups; measure-valued dynamical systems; Mobius inversion;
D O I：
10.1007/s00605-005-0326-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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页码：267 / 278
页数：12
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