Gentil, Ivan
- The Li-Yau inequality and applications under a curvature-dimension condition
2014/12/12 by Bakry, Dominique, Bolley, François, Gentil, Ivan · 3 citations
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Functional Analysis (math.FA) #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
- An entropic interpolation proof of the HWI inequality
2018/07/18 by Gentil, Ivan, Léonard, Christian, Ripani, Luigia +1 · 3 citations
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Probability (math.PR)
- Logarithmic Sobolev inequality for diffusion semigroups
2010/09/17 by Ivan Gentil, Gentil, Ivan · 1 citation
Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Nonlinear Differential Equations Analysis #Contact Mechanics and Variational Inequalities
- Dimensional improvements of the logarithmic Sobolev, Talagrand and Brascamp-Lieb inequalities
2015/07/04 by Bolley, François, Gentil, Ivan, Guillin, Arnaud · 1 citation
#FOS: Mathematics #Functional Analysis (math.FA) #Probability (math.PR)
- About the analogy between optimal transport and minimal entropy
2015/10/28 by Gentil, Ivan, Léonard, Christian, Ripani, Luigia · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)
- Dynamical aspects of generalized Schrödinger problem via Otto calculus -- A heuristic point of view
2018/06/05 by Gentil, Ivan, Léonard, Christian, Ripani, Luigia · 1 citation
#FOS: Mathematics #Probability (math.PR)
- A conformal geometric point of view on the Caffarelli-Kohn-Nirenberg\n inequality
2021/11/30 by Louis Dupaigne, Dupaigne, Louis, Ivan Gentil +3 · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations
- Stability estimates for the sharp spectral gap bound under a curvature-dimension condition
2022/02/08 by Max Fathi, Fathi, Max, Ivan Gentil +3 · 1 citation
Mathematics · #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Functional Analysis (math.FA) #Geometric Analysis and Curvature Flows #Metric Geometry (math.MG) #Numerical methods in inverse problems #Probability (math.PR)