12 citations · 29 across the 10 of their papers we have counts for
Showing 2007 · math.PRShow all
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math.PR2007★ 3 cited
Trends to Equilibrium in Total Variation Distance
Patrick Cattiaux, Arnaud Guillin
This paper presents different approaches, based on functional inequalities, to study the speed of convergence in total variation distance of ergodic diffusion processes with initia…
math.PR2007★ 3 cited
Rate of Converrgence for ergodic continuous Markov processes : Lyapunov versus Poincare
Dominique Bakry, Patrick Cattiaux, Arnaud Guillin
We study the relationship between two classical approaches for quantitative ergodic properties : the first one based on Lyapunov type controls and popularized by Meyn and Tweedie,…
math.PR2007
Quasi-stationary distributions and diffusion models in population dynamics
Patrick Cattiaux, Pierre Collet, Amaury Lambert +3
In this paper, we study quasi-stationarity for a large class of Kolmogorov diffusions. The main novelty here is that we allow the drift to go to at the origin, and the d…