Patrick Cattiaux

Applied Mathematics · 2002–2021

A researcher in the Science corpus: 17 papers; trusts 39 researchers and is trusted by 40 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 103 citations into it; #763 of 7,620 by trust here, #584 by citations
• Mathematical Physics — 53 citations into it; #1,092 of 8,562 by trust here, #754 by citations
• Statistics and Probability — 42 citations into it; #1,938 of 12,932 by trust here, #1,706 by citations
• Finance — 21 citations into it; #5,371 of 10,518 by trust here, #7,920 by citations
• Geometry and Topology — 17 citations into it; #2,618 of 7,422 by trust here, #2,689 by citations
• Numerical Analysis — 15 citations into it; #962 of 3,586 by trust here, #583 by citations
• Statistical and Nonlinear Physics — 13 citations into it; #2,445 of 10,127 by trust here, #3,616 by citations
• Computational Theory and Mathematics — 7 citations into it; #8,604 of 12,182 by trust here, #11,462 by citations

Whom Patrick Cattiaux trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Feng-Yu Wang
2. Franck Barthe
3. Cédric Villani
4. D. Bakry
5. Sergey G. Bobkov
6. Michael Röckner
7. Arnaud Guillin
8. Nathael Gozlan
9. Liming Wu
10. Cyril Roberto

Who trusts Patrick Cattiaux overall

1. Arnaud Guillin
2. Nathael Gozlan
3. Emanuel Milman
4. Andreas Eberle
5. Pierre-Emmanuel Jabin
6. Fuqing Gao
7. D. Bakry
8. Adrien Saumard
9. François Delarue
10. Oleg Butkovsky

Papers from Patrick Cattiaux's perspective

Ordered by how strongly the researchers Patrick Cattiaux trusts endorse each paper. Same corpus, a different order for every researcher.

1. Generalization of an Inequality by Talagrand and Links with the Logarithmic Sobolev Inequality
2. Topics in Optimal Transportation
3. Weak Poincaré Inequalities and L2-Convergence Rates of Markov Semigroups
4. Markov Chains and Stochastic Stability
5. Hypercontractivity of Hamilton-Jacobi equations
6. Functional Inequalities for Empty Essential Spectrum
7. Lyapunov conditions for Super Poincaré inequalities
8. Some Applications of Mass Transport to Gaussian-Type Inequalities
9. Exponential Integrability and Transportation Cost Related to Logarithmic Sobolev Inequalities
10. Transport inequalities, gradient estimates, entropy and Ricci curvature

Their papers

• Rate of convergence for ergodic continuous Markov processes : Lyapunov versus Poincaré (2007) — 296 citations
• A simple proof of the Poincaré inequality for a large class of probability measures (2008) — 228 citations
• Lyapunov conditions for Super Poincaré inequalities (2009) — 68 citations
• Concentration for independent random variables with heavy tails (2005) — 59 citations
• Time reversal of diffusion processes under a finite entropy condition (2021) — 82 citations
• DEVIATION BOUNDS FOR ADDITIVE FUNCTIONALS OF MARKOV PROCESSES (2006) — 73 citations
• Poincaré inequalities and hitting times (2010) — 53 citations
• Hypoelliptic non-homogeneous diffusions (2002) — 51 citations
• Semi Log-Concave Markov Diffusions (2013) — 63 citations
• Central limit theorems for additive functionals of ergodic Markov diffusions processes (2011) — 69 citations
• Functional Inequalities for Heavy Tailed Distributions and Application to Isoperimetry (2010) — 77 citations
• A note on Talagrand’s transportation inequality and logarithmic Sobolev inequality (2008) — 81 citations
• Quasi-stationary distributions and diffusion models in population dynamics (2007) — 175 citations
• Isoperimetry between exponential and Gaussian (2006) — 52 citations
• Probabilistic approach for granular media equations in the non-uniformly convex case (2006) — 190 citations
• On quadratic transportation cost inequalities (2006) — 59 citations
• Interpolated inequalities between exponential and Gaussian, Orlicz hypercontractivity and isoperimetry (2004) — 151 citations