Found 83 Documents (Results 1–83)
Logarithmic Sobolev and interpolation inequalities on the sphere: constructive stability results. (English) Zbl 07896320
Ann. Inst. Henri Poincaré, Anal. Non Linéaire 41, No. 5, 1289-1321 (2024); corrigendum ibid. 41, No. 5, 1323-1324 (2024).
On Gaussian interpolation inequalities. (Sur des inégalités d’interpolation Gaussiennes.) (English. French summary) Zbl 07816874
Caffarelli-Kohn-Nirenberg identities, inequalities and their stabilities. (English. French summary) Zbl 1539.81078
A short direct proof of the Ivanisvili-Volberg inequality. (English) Zbl 07916424
Eldan, Ronen (ed.) et al., Geometric aspects of functional analysis. Israel seminar (GAFA) 2020–2022. Cham: Springer. Lect. Notes Math. 2327, 291-296 (2023).
Interpolation between modified logarithmic Sobolev and Poincaré inequalities for quantum Markovian dynamics. (English) Zbl 1537.46051
Stability of hypercontractivity, the logarithmic Sobolev inequality, and Talagrand’s cost inequality. (English) Zbl 07740622
A probabilistic approach to convex \((\phi)\)-entropy decay for Markov chains. (English) Zbl 1491.37008
Reviewer: Piotr Garbaczewski (Opole)
Modified log-Sobolev inequalities, Beckner inequalities and moment estimates. (English) Zbl 1489.60028
Reviewer: Carlo Sempi (Lecce)
The entropy method under curvature-dimension conditions in the spirit of Bakry-Émery in the discrete setting of Markov chains. (English) Zbl 1480.60219
A family of Beckner inequalities under various curvature-dimension conditions. (English) Zbl 1480.39025
Hypocoercivity in Phi-entropy for the linear relaxation Boltzmann equation on the torus. (English) Zbl 1462.35234
On Poincaré and logarithmic Sobolev inequalities for a class of singular Gibbs measures. (English) Zbl 1459.60047
Klartag, Bo’az (ed.) et al., Geometric aspects of functional analysis. Israel seminar (GAFA) 2017–2019. Volume 1. Cham: Springer. Lect. Notes Math. 2256, 219-246 (2020).
Reviewer: Michael Voit (Dortmund)
Global existence and long time behavior of the ellipsoidal-statistical-Fokker-Planck model for diatomic gases. (English) Zbl 1434.35239
Convex Sobolev inequalities related to unbalanced optimal transport. (English) Zbl 1437.26021
Reviewer: Maria Alessandra Ragusa (Catania)
\(\Phi\)-entropy inequalities and asymmetric covariance estimates for convex measures. (English) Zbl 1428.62189
MSC:
60E15
\(\varphi\)-entropies: convexity, coercivity and hypocoercivity for Fokker-Planck and kinetic Fokker-Planck equations. (English) Zbl 1411.82032
Isoperimetric functional inequalities via the maximum principle: the exterior differential systems approach. (English) Zbl 1405.42023
Baranov, Anton (ed.) et al., 50 years with Hardy spaces. A tribute to Victor Havin. Cham: Birkhäuser (ISBN 978-3-319-59077-6/hbk; 978-3-319-59078-3/ebook). Operator Theory: Advances and Applications 261, 281-305 (2018).
Ornstein-Uhlenbeck operators and semigroups. (English. Russian original) Zbl 06945050
Russ. Math. Surv. 73, No. 2, 191-260 (2018); translation from Usp. Mat. Nauk 73, No. 2, 3-74 (2018).
Uniqueness and rigidity in nonlinear elliptic equations, interpolation inequalities, and spectral estimates. (English. French summary) Zbl 1397.35109
Reviewer: Florin Catrina (New York)
Isoperimetric weights and generalized uncertainty inequalities in metric measure spaces. (English) Zbl 1351.42031
MSC:
42B99
Entropy-dissipative discretization of nonlinear diffusion equations and discrete Beckner inequalities. (English) Zbl 1341.65034
Reviewer: K. N. Shukla (Gurgaon)
A hypocoercivity related ergodicity method for singularly distorted non-symmetric diffusions. (English) Zbl 1361.37007
Intertwining relations for one-dimensional diffusions and application to functional inequalities. (English) Zbl 1311.60086
Reviewer: Heinrich Hering (Rockenberg)
One-dimensional Gagliardo-Nirenberg-Sobolev inequalities: remarks on duality and flows. (English) Zbl 1320.26017
Reviewer: Petr Gurka (Praha)
Hypocoercivity for Kolmogorov backward evolution equations and applications. (English) Zbl 1347.37007
Advances in study of Poincaré inequalities and related operators. (English) Zbl 1306.46041
MSC:
46E35
Sharp interpolation inequalities on the sphere: new methods and consequences. (English) Zbl 1263.26029
Psi-entropy inequalities for the Ornstein-Uhlenbeck semigroup. (English) Zbl 1272.47052
Reviewer: Feng-Yu Wang (Swansea)
Functional affine-isoperimetry and an inverse logarithmic Sobolev inequality. (English) Zbl 1255.52010
Reviewer: Gabriela Cristescu (Arad)
A note on the modified log-Sobolev inequality. (English) Zbl 1234.60022
Reviewer: B. L. S. Prakasa Rao (Hyderabad)
Convex Sobolev inequalities derived from entropy dissipation. (English) Zbl 1229.35302
Reviewer: Thomas Ernst (Uppsala)
From concentration to logarithmic Sobolev and Poincaré inequalities. (English) Zbl 1226.60024
Reviewer: Maria Gordina (Storrs)
Almost monotonicity formulas for elliptic and parabolic operators with variable coefficients. (English) Zbl 1216.35040
Reviewer: Florin Catrina (Queens)
A family of integral inequalities on the circle \(S^{1}\). (English) Zbl 1204.47046
Reviewer: Roman Wituła (Gliwice)
Pointwise symmetrization inequalities for Sobolev functions and applications. (English) Zbl 1216.46026
Reviewer: Joan Cerdà (Barcelona)
Phi-entropy inequalities for diffusion semigroups. (English) Zbl 1193.47046
Reviewer: René L. Schilling (Dresden)
Nonlinear mobility continuity equations and generalized displacement convexity. (English) Zbl 1225.49043
A characterization of dimension free concentration in terms of transportation inequalities. (English) Zbl 1201.60016
Reviewer: Maria Gordina (Storrs)
Optimal Gaussian Sobolev embeddings. (English) Zbl 1203.46019
Reviewer: Alan J. Pryde (Clayton)
On gradient bounds for the heat kernel on the Heisenberg group. (English) Zbl 1156.58009
Reviewer: Dian K. Palagachev (Bari)
Mass transport and variants of the logarithmic Sobolev inequality. (English) Zbl 1170.46031
Reviewer: Jacques Franchi (Strasbourg)
Modified log-Sobolev inequalities and isoperimetry. (English) Zbl 1223.60018
Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 18, No. 2, 179-208 (2007).
Weak logarithmic Sobolev inequalities and entropic convergence. (English) Zbl 1130.26010
Reviewer: Jiří Rákosník (Praha)
Orlicz-Sobolev inequalities for sub-Gaussian measures and ergodicity of Markov semi-groups. (English) Zbl 1120.28013
Reviewer: Qian Minping (Beijing)
Interpolated inequalities between exponential and Gaussian, Orlicz hypercontractivity and isoperimetry. (English) Zbl 1118.26014
Reviewer: Sotiris K. Ntouyas (Ioannina)
Beckner inequality on finite- and infinite-dimensional manifolds. (English) Zbl 1123.58021
Reviewer: Kun Soo Chang (Seoul)
Modified logarithmic Sobolev inequalities in discrete settings. (English) Zbl 1113.60072
Reviewer: D. R. Bell (Jacksonville)
Convex Sobolev inequalities and spectral gap. (English) Zbl 1086.60013
MSC:
60E15
Refined convex Sobolev inequalities. (English) Zbl 1087.35018
Reviewer: Denise Huet (Nancy)
A generalization of Poincaré and log-Sobolev inequalities. (English) Zbl 1068.47051
Reviewer: Andrej V. Bulinski (Moskva)
MSC:
47D07
Moment inequalities for functions of independent random variables. (English) Zbl 1074.60018
Reviewer: V. M. Kruglov (Moskva)
A new method for bounding rates of convergence of empirical spectral distributions. (English) Zbl 1063.60024
MSC:
60F05
Modified log-Sobolev inequalities, mixing and hypercontractivity. (English) Zbl 1192.60020
Proceedings of the thirty-fifth annual ACM symposium on theory of computing (STOC 2003), San Diego, CA, USA,. New York, NY: ACM Press (ISBN 1-58113-674-9). 287-296, electronic only (2003).
Best constants for Gagliardo-Nirenberg inequalities and applications to nonlinear diffusions. (English) Zbl 1112.35310
Levels of concentration between exponential and Gaussian. (English) Zbl 1008.60007
Reviewer: Kun Soo Chang (Seoul)
On modified logarithmic Sobolev inequalities for Bernoulli and Poisson measures. (English) Zbl 0920.60002
Reviewer: Mihai Gradinaru (Nancy)
Differentiable measures and the Malliavin calculus. (English) Zbl 0929.58015
Reviewer: Yu.E.Gliklikh (Voronezh)
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