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math.PR2008
Competitive or Weak Cooperative Stochastic Lotka-Volterra Systems Conditioned to Non-Extinction
Patrick Cattiaux, Sylvie Méléard
We are interested in the long time behavior of a two-type density-dependent biological population conditioned to non-extinction, in both cases of competition or weak cooperation be…
math.PR2008
A note on Talagrand's transportation inequality and logarithmic Sobolev inequality
Patrick Cattiaux, Arnaud Guillin, Liming Wu
We give by simple arguments sufficient conditions, so called Lyapunov conditions, for Talagrand's transportation information inequality and for the logarithmic Sobolev inequality.…