Patrick Cattiaux

Rate of convergence for ergodic continuous Markov processes: Lyapunov versus Poincaré

Dominique Bakry, Patrick Cattiaux, Arnaud Guillin · Journal of Functional Analysis · 2007 · 255 citations

Engineering, Lyapunov Versus Poincaré, Stochastic Processes +7

A simple proof of the Poincaré inequality for a large class of probability measures

Dominique Bakry, Franck Barthe, Patrick Cattiaux et al. · Electronic Communications in Probability · 2008 · 200 citations · Full text

Spectral Theory, Poincaré Inequality, Measure Theory +12

Probabilistic approach for granular media equations in the non-uniformly convex case

Patrick Cattiaux, Arnaud Guillin, Florent Malrieu · Probability Theory and Related Fields · 2007 · 163 citations · Full text

Numerical Analysis, Engineering, Variational Analysis +6

Quasi-stationary distributions and diffusion models in population dynamics

Patrick Cattiaux, Pierre Collet, Amaury Lambert et al. · The Annals of Probability · 2009 · 135 citations · Full text

Engineering, Entropy, Integrable Probability +14

Interpolated inequalities between exponential and Gaussian, Orlicz hypercontractivity and isoperimetry

Patrick Cattiaux, Cyril Roberto · Revista Matemática Iberoamericana · 2006 · 117 citations · Full text

Spectral Theory, Measure Theory, Dirichlet Form +14