1. Sharp comparisons between sliced and standard 1-Wasserstein distances
   2025/10/18 by Guillaume Carlier, Alessio Figalli, Carlier, Guillaume +5 · 1 citation
   Mathematics · #39B62 #49Q22 #Commutative Algebra and Its Applications #FOS: Mathematics #Geometric Analysis and Curvature Flows #Metric Geometry (math.MG) #Optimization and Control (math.OC) #Point processes and geometric inequalities #Statistics Theory (math.ST)
2. Global minimizers for fast diffusion versus nonlocal interactions on negatively curved manifolds
   2025/03/24 by Carrillo, José A., Fetecau, Razvan C., Park, Hansol · 3 citations
   #35A15 #35B38 #39B62 #58J90 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
3. A generalized Legendre duality relation and Gaussian saturation
   2024/09/20 by Shohei Nakamura, Nakamura, Shohei, Hiroshi Tsuji +1 · 2 citations
   Computer Science · Mathematics · #26D15 #39B62 #52A38 #52A40 (primary) #94A17 (secondary) #Advanced Optimization Algorithms Research #Classical Analysis and ODEs (math.CA) #FOS: Computer and information sciences #FOS: Mathematics #Functional Analysis (math.FA) #Image and Signal Denoising Methods #Information Theory (cs.IT) #Metric Geometry (math.MG) #Statistical and numerical algorithms
4. Entropy factorization via curvature
   2024/07/18 by Caputo, Pietro, Salez, Justin · 2 citations
   #39B62 #60J10 #Combinatorics (math.CO) #FOS: Mathematics #Functional Analysis (math.FA) #Probability (math.PR)
5. Functional inequalities in the framework of Banach spaces
   2024/05/30 by Niculescu, Constantin P. · 1 citation
   #26A51 #39B62 #46B20 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA)
6. Contraction properties and differentiability of p-energy forms with applications to nonlinear potential theory on self-similar sets
   2024/04/21 by Kajino, Naotaka, Shimizu, Ryosuke · 4 citations
   #28A80 #31C25 #31E05 (Primary) 31C45 #39B62 #46E36 (Secondary) #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG) #Probability (math.PR)
7. Optimal Riemannian metric for Poincaré inequalities and how to ideally precondition Langevin dynamics
   2024/04/03 by Cui, Tiangang, Tong, Xin, Zahm, Olivier · 2 citations
   #39B62 #46N30 #60H10 #FOS: Mathematics #Probability (math.PR)
8. Relative entropy and modulated free energy without confinement via self-similar transformation
   2024/02/21 by Matthew Rosenzweig, Rosenzweig, Matthew, Sylvia Serfaty +1 · 2 citations
   Physics and Astronomy · #35Q70 #35Q82 #35Q92 #39B62 #82C22 #82C31 #82C40 #94A17 #Advanced Thermodynamics and Statistical Mechanics #Analysis of PDEs (math.AP) #Cosmology and Gravitation Theories #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Quantum Mechanics and Applications
9. On the monotonicity of discrete entropy for log-concave random vectors on ℤ^d
   2024/01/27 by Fradelizi, Matthieu, Gavalakis, Lampros, Rapaport, Martin · 1 citation
   #39B62 #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Primary: 94A17 Secondary: 52C07 #Probability (math.PR)
10. Wasserstein Asymptotics for Brownian Motion on the Flat Torus and Brownian Interlacements
    2023/07/19 by Mariani, Mauro, Trevisan, Dario · 1 citation
    #35J05 #39B62 #60D05 #60F25 #90C05 #FOS: Mathematics #Probability (math.PR)
11. Stability for the logarithmic Sobolev inequality
    2023/03/22 by Brigati, Giovanni, Dolbeault, Jean, Simonov, Nikita · 2 citations
    #35A23 #35K85 #39B62 #47J20 #49J40 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA)
12. Weak semiconvexity estimates for Schrödinger potentials and logarithmic Sobolev inequality for Schrödinger bridges
    2022/12/31 by Conforti, Giovanni · 3 citations
    #35G50 #39B62 #49L12 #49Q22 #60J60 #FOS: Mathematics #Probability (math.PR)
13. Logarithmic Sobolev and interpolation inequalities on the sphere: constructive stability results
    2022/11/23 by Brigati, Giovanni, Dolbeault, Jean, Simonov, Nikita · 2 citations
    #26D10 #39B62 #43A90 #46E35 #49J40 #58J99 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA)
14. Optimal transport methods for combinatorial optimization over two random point sets
    2022/09/29 by Goldman, Michael, Trevisan, Dario · 1 citation
    #35J05 #39B62 #60D05 #60F25 #90C05 #Combinatorics (math.CO) #FOS: Mathematics #Functional Analysis (math.FA) #Probability (math.PR)
15. Discrete Schwarz rearrangement in lattice graphs
    2022/09/02 by Hajaiej, Hichem, Han, Fengwen, Hua, Bobo · 1 citation
    #35A15 #39B62 #47J30 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA)
16. Sumset estimates in convex geometry
    2022/06/03 by Fradelizi, Matthieu, Madiman, Mokshay, Zvavitch, Artem · 2 citations
    #39B62 #52A20 #52A39 #52A40 #FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG)
17. Symmetrization inequalities on one-dimensional integer lattice
    2022/04/25 by Shubham Gupta, Gupta, Shubham · 1 citation
    Mathematics · #39B62 #42A16 #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Inequalities and Applications
18. Quantitative coarse-graining of Markov chains
    2022/01/25 by Bastian Hilder, Upanshu Sharma, Hilder, Bastian +1 · 2 citations
    Computer Science · Mathematics · #34C29 #34E13 #39B62 #60B10 #60J27 #60J28 #Bayesian Methods and Mixture Models #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Probability (math.PR) #Stochastic processes and statistical mechanics
19. Upper heat kernel estimates for nonlocal operators via Aronson's method
    2021/11/12 by Kassmann, Moritz, Weidner, Marvin · 1 citation
    #31C25 #35K08 #39B62 #47D07 #60J25 #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)
20. Coarse-graining and reconstruction for Markov matrices
    2021/10/18 by Stephan, Artur · 1 citation
    #05B20 #15A42 #15B52 #39B62 #60J10 #60J28 #Combinatorics (math.CO) #FOS: Mathematics #Functional Analysis (math.FA) #Probability (math.PR)
21. A quantitative stability inequality for fractional capacities
    2021/07/17 by Cinti, Eleonora, Ognibene, Roberto, Ruffini, Berardo · 1 citation
    #32U20 #35R11 #39B62 #49Q10 #Analysis of PDEs (math.AP) #FOS: Mathematics
22. Spectral Gaps for Reversible Markov Processes with Chaotic Invariant\n Measures: The Kac Process with Hard Sphere Collisions in Three Dimensions
    2018/12/10 by Eric A. Carlen, Maria C. Carvalho, Carlen, Eric A. +3 · 1 citation
    Mathematics · #35Q20 #39B62 #60G07 #FOS: Physical sciences #Markov Chains and Monte Carlo Methods #Mathematical Dynamics and Fractals #Mathematical Physics (math-ph) #Stochastic processes and statistical mechanics
23. Inequalities for L^p-norms that sharpen the triangle inequality and\n complement Hanner's Inequality
    2018/07/15 by Eric A. Carlen, Carlen, Eric A., Rupert L. Frank +5 · 1 citation
    Mathematics · #39B62 #46E30 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Numerical methods in inverse problems
24. On a Cheeger--Kohler-Jobin inequality
    2018/06/05 by Lucardesi, Ilaria, Mazzoleni, Dario, Ruffini, Berardo · 1 citation
    #35P10 #39B62 #49Q10 #49R05 #Analysis of PDEs (math.AP) #FOS: Mathematics
25. Equality in Borell-Brascamp-Lieb inequalities on curved spaces
    2017/04/13 by Balogh, Zoltán M., Kristály, Alexandru · 2 citations
    #39B62 #49Q20 #53C21 #53C24 #58E35 #Analysis of PDEs (math.AP) #FOS: Mathematics
26. Duality and Stability for Functional Inequalities
    2016/09/04 by Carlen, Eric A. · 2 citations
    #39B62 #52A40 #FOS: Mathematics #Functional Analysis (math.FA)
27. Causal transport in discrete time and applications
    2016/06/13 by Veraguas, Julio Backhoff, Beiglböck, Mathias, Lin, Yiqing +1 · 5 citations
    #39B62 #60G70 #90C15 #FOS: Mathematics #Optimization and Control (math.OC) #Probability (math.PR)
28. Some extensions of the Prékopa-Leindler inequality using Borell's stochastic approach
    2015/12/16 by Cordero-Erausquin, Dario, Maurey, Bernard · 1 citation
    #39B62 #52A20 #52A40 #60H30 #FOS: Mathematics #Functional Analysis (math.FA) #Probability (math.PR)
29. Rogers-Shephard inequality for log-concave functions
    2014/10/09 by David Alonso–Gutiérrez, Bernardo González Merino, Alonso-Gutiérrez, David +5 · 1 citation
    Mathematics · Medicine · #39B62 #46N10 (Secondary) #52A20 (Primary) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Inequalities and Applications #Metric Geometry (math.MG) #Pharmacological Effects of Medicinal Plants #Point processes and geometric inequalities
30. Approximate tensorization of entropy at high temperature
    2014/05/03 by Caputo, Pietro, Menz, Georg, Tetali, Prasad · 2 citations
    #39B62 #60K35 #82B20 #82C2 #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph) #Probability (math.PR)

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