Poincaré and logarithmic Sobolev inequalities for nearly radial measures
From MaRDI portal
Publication:2674389
DOI10.1007/s10114-022-0501-3zbMath1506.26015arXiv1912.10825OpenAlexW2995351989MaRDI QIDQ2674389
Patrick Cattiaux, Arnaud Guillin, Li-ming Wu
Publication date: 12 September 2022
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.10825
logarithmic Sobolev inequalityPoincaré inequalitysuper-Poincaré inequalitylog-concave measureradial measure
Inequalities; stochastic orderings (60E15) Probability measures on topological spaces (60B05) Markov semigroups and applications to diffusion processes (47D07) Inequalities involving derivatives and differential and integral operators (26D10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hitting times, functional inequalities, Lyapunov conditions and uniform ergodicity
- Isoperimetry for spherically symmetric log-concave probability measures
- Super Poincaré inequalities, Orlicz norms and essential spectrum
- Interpolated inequalities between exponential and Gaussian, Orlicz hypercontractivity and isoperimetry
- From super Poincaré to weighted log-Sobolev and entropy-cost inequalities
- Functional inequalities for heavy tailed distributions and application to isoperimetry
- Lyapunov conditions for super Poincaré inequalities
- On the role of convexity in isoperimetry, spectral gap and concentration
- Isoperimetric and analytic inequalities for log-concave probability measures
- From Brunn-Minkowski to Brascamp-Lieb and to logarithmic Sobolev inequalities
- Large deviations and isoperimetry over convex probability measures with heavy tails
- Isoperimetry between exponential and Gaussian
- Weak logarithmic Sobolev inequalities and entropic convergence
- Some connections between isoperimetric and Sobolev-type inequalities
- Sobolev inequalities for probability measures on the real line
- Some remarks on weighted logarithmic Sobolev inequality
- Analysis and Geometry of Markov Diffusion Operators
- On the Poincaré Constant of Log-Concave Measures
- Stochastic localization + Stieltjes barrier = tight bound for log-Sobolev
- On the role of convexity in functional and isoperimetric inequalities
- Entropy bounds and isoperimetry
- Weak Poincaré inequalities and \(L^2\)-convergence rates of Markov semigroups
- A note on Talagrand's transportation inequality and logarithmic Sobolev inequality
- Spectral gap for spherically symmetric \(\log\)-concave probability measures, and beyond
