Cattiaux, Patrick
- Rate of Converrgence for ergodic continuous Markov processes : Lyapunov versus Poincare
2007/03/12 by Dominique Bakry, Patrick Cattiaux, Bakry, Dominique +3 · 7 citations
Mathematics · Physics and Astronomy · #26D10 #47D07 #60G10 #60J60 #Advanced Thermodynamics and Statistical Mechanics #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Probability (math.PR) #Stochastic processes and statistical mechanics
- Probabilistic approach for granular media equations in the non uniformly convex case
2006/03/22 by Patrick Cattiaux, Arnaud Guillin, Cattiaux, Patrick +3 · 4 citations
Environmental Science · Mathematics · Engineering · #Landslides and related hazards #Numerical methods in inverse problems #Soil and Unsaturated Flow
- Competitive or Weak Cooperative Stochastic Lotka-Volterra Systems Conditioned to Non-Extinction
2008/11/03 by Patrick Cattiaux, Cattiaux, Patrick, Sylvie Méléard +1 · 3 citations
Mathematics · Medicine · #37A60 #60J70 #60J80 #92D25 #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Probability (math.PR) #Stochastic processes and statistical mechanics
- The 2-D stochastic Keller-Segel particle model : existence and uniqueness
2016/01/29 by Cattiaux, Patrick, Pédèches, Laure · 3 citations
#FOS: Mathematics #Probability (math.PR)
- Time reversal of diffusion processes under a finite entropy condition
2021/04/15 by Patrick Cattiaux, Cattiaux, Patrick, Giovanni Conforti +5 · 4 citations
Biochemistry, Genetics and Molecular Biology · Computer Science · Economics, Econometrics and Finance · #Advanced Mathematical Modeling in Engineering #Diffusion and Search Dynamics #FOS: Mathematics #Probability (math.PR) #Stochastic processes and financial applications
- Trends to Equilibrium in Total Variation Distance
2007/03/15 by Cattiaux, Patrick, Guillin, Arnaud · 2 citations
#26D10 #60E15 #FOS: Mathematics #Probability (math.PR)
- Quasi-stationary distributions and diffusion models in population dynamics
2007/03/27 by Cattiaux, Patrick, Collet, Pierre, Lambert, Amaury +3 · 2 citations
#37A30 (Secondary) #60J60 #60J70 #60J85 #60K35 #92D25 (Primary) #FOS: Mathematics #Probability (math.PR)
- Semi Log-Concave Markov Diffusions
2013/03/27 by Cattiaux, Patrick, Guillin, Arnaud · 2 citations
#FOS: Mathematics #Functional Analysis (math.FA) #Probability (math.PR)
- Functional Inequalities via Lyapunov conditions
2010/01/12 by Cattiaux, Patrick, Guillin, Arnaud · 1 citation
#26D10 #47D07 #60G10 #60J60 #FOS: Mathematics #Functional Analysis (math.FA) #Probability (math.PR)
- Hitting times, functional inequalities, lyapunov conditions and uniform ergodicity
2016/04/21 by Cattiaux, Patrick, Guillin, Arnaud · 1 citation
#FOS: Mathematics #Functional Analysis (math.FA) #Probability (math.PR)
- Isoperimetry between exponential and Gaussian
2006/01/19 by Patrick Cattiaux, Barthe, Franck, Cyril Roberto +2 · 1 citation
Economics, Econometrics and Finance · Mathematics · #FOS: Mathematics #Geometry and complex manifolds #Probability (math.PR) #Random Matrices and Applications #Stochastic processes and financial applications
- Self-improvement of the Bakry-Emery criterion for Poincaré inequalities and Wasserstein contraction using variable curvature bounds
2020/02/21 by Patrick Cattiaux, Max Fathi, Cattiaux, Patrick +3 · 1 citation
Mathematics · #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Geometry and complex manifolds
- Entropy on the path space and application to singular diffusions and mean-field models
2024/04/15 by Cattiaux, Patrick · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)