D. Bakry

Applied Mathematics · 2000–2014

A researcher in the Science corpus: 9 papers; trusts 16 researchers and is trusted by 63 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 30 citations into it; #263 of 7,620 by trust here, #350 by citations
• Mathematical Physics — 15 citations into it; #1,563 of 8,562 by trust here, #1,261 by citations
• Geometry and Topology — 11 citations into it; #1,405 of 7,422 by trust here, #2,384 by citations
• Statistics and Probability — 11 citations into it; #2,681 of 12,932 by trust here, #2,751 by citations
• Finance — 7 citations into it; #2,169 of 10,518 by trust here, #2,099 by citations

Whom D. Bakry trusts overall

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

1. Liming Wu
2. Franck Barthe
3. Patrick Cattiaux
4. Cédric Villani
5. Feng-Yu Wang
6. Michael Röckner
7. Michel Ledoux
8. Randal Douc
9. Gersende Fort
10. Cyril Roberto

Who trusts D. Bakry overall

1. Luigi Ambrosio
2. Fabrice Baudoin
3. Patrick Cattiaux
4. Nicola Gigli
5. Xiang-Dong Li
6. Arnaud Guillin
7. Giuseppe Savar'e
8. Alain Oliviero Durmus
9. Feng-Yu Wang
10. Jean Dolbeault

Papers from D. Bakry's perspective

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

1. Weak Poincaré Inequalities and L2-Convergence Rates of Markov Semigroups
2. Markov Chains and Stochastic Stability
3. Functional Inequalities for Empty Essential Spectrum
4. Lyapunov conditions for Super Poincaré inequalities
5. Isoperimetry between exponential and Gaussian
6. Generalization of an Inequality by Talagrand and Links with the Logarithmic Sobolev Inequality
7. The concentration of measure phenomenon
8. Topics in Optimal Transportation
9. Uniformly Integrable Operators and Large Deviations for Markov Processes
10. Exponential Integrability and Transportation Cost Related to Logarithmic Sobolev Inequalities

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
• The Li-Yau inequality and applications under a curvature-dimension condition (2014) — 49 citations
• Analysis and Geometry of Markov Diffusion Operators (2013) — 1,715 citations
• Functional Inequalities for Markov semigroups (2009) — 113 citations
• On gradient bounds for the heat kernel on the Heisenberg group (2007) — 116 citations
• A logarithmic Sobolev form of the Li-Yau parabolic inequality (2006) — 169 citations
• Volume comparison theorems without Jacobi fields (2005) — 107 citations
• Some New Results on Eigenvectors via Dimension, Diameter, and Ricci Curvature☆ (2000) — 176 citations