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math.PR2007
The convergence to equilibrium of neutral genetic models
Pierre Del Moral, Laurent Miclo, Frédéric Patras +1
This article is concerned with the long time behavior of neutral genetic population models, with fixed population size. We design an explicit, finite, exact, genealogical tree base…
math.PR2005
Modified logarithmic Sobolev inequalities in null curvature
Ivan Gentil, Arnaud Guillin, Laurent Miclo
We present a logarithmic Sobolev inequality adapted to a log-concave measure. Assume that is a symmetric convex function on $\dR$ satisfying $(1+\e)Φ(x)\leq {x}Φ'(x)\leq(2-\e)Φ…