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4 papers · 2 filters
Lyapunov conditions for logarithmic Sobolev and Super Poincaré inequality
Patrick Cattiaux, Arnaud Guillin, Feng-Yu Wang +1
We show how to use Lyapunov functions to obtain functional inequalities which are stronger than Poincaré inequality (for instance logarithmic Sobolev or -Sobolev). The case of P…
Transportation-information inequalities for Markov processes
Arnaud Guillin, Christian Leonard, Liming Wu +1
In this paper, one investigates the following type of transportation-information inequalities: for all probability measures on some metric space…
Collision probability for random trajectories in two dimensions
A. Gaudilliere
We give a lower bound for the non-collision probability up to a long time T in a system of n independent random walks with fixed obstacles on the two-dimensional lattice. By `colli…
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…