Michael Baake
Published 2005-06-06Version 1
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.
Comments: 15 pages
Journal: Monatshefte Math. 146 (2005) 267--278; Addendum: Monatshefte Math. 150 (2007) 83--84
Fractional Poincare and logarithmic Sobolev inequalities for measure spaces
A class of multilinear bounded oscillation operators on measure spaces and applications
Besov-ish spaces through atomic decomposition
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