Modified Logarithmic Sobolev Inequalities in Discrete Settings

Sergey G. Bobkov, Prasad Tetali

Type: Article

Publication Date: 2006-10-25

Citations: 176

DOI: https://doi.org/10.1007/s10959-006-0016-3

View Publication

Download PDF

Locations

Journal of Theoretical Probability - View
CiteSeer X (The Pennsylvania State University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Modified log-sobolev inequalities, mixing and hypercontractivity	2003	Sergey G. Bobkov Prasad Tetali
+	Modified log-sobolev inequalities, mixing and hypercontractivity	2003	Sergey G. Bobkov Prasad Tetali
+	Entropic Independence II: Optimal Sampling and Concentration via Restricted Modified Log-Sobolev Inequalities	2021	Nima Anari Vishesh Jain Frederic Koehler Huy Tuan Pham Thuy-Duong Vuong
+	Entropic Independence II: Optimal Sampling and Concentration via Restricted Modified Log-Sobolev Inequalities.	2021	Nima Anari Vishesh Jain Frederic Koehler Huy Tuan Pham Thuy-Duong Vuong
+ PDF Chat	Logarithmic Sobolev inequalities for finite spin systems and applications	2020	Holger Sambale Arthur Sinulis
+	Logarithmic Sobolev Inequalities	2013	Stéphane Boucheron Gábor Lugosi Pascal Massart
+ PDF Chat	Logarithmic Sobolev inequalities for finite Markov chains	1996	Persi Diaconis Laurent Saloff‐Coste
+ PDF Chat	Upgrading MLSI to LSI for reversible Markov chains	2023	Justin Salez Konstantin Tikhomirov Pierre Youssef
+	Sum-of-Squares proofs of logarithmic Sobolev inequalities on finite Markov chains	2021	Oisín Faust Hamza Fawzi
+	Upgrading MLSI to LSI for reversible Markov chains	2022	Justin Salez Konstantin Tikhomirov Pierre Youssef
+	Log-Sobolev inequalities	2002
+	Modified Brascamp-Lieb inequalities and log-Sobolev inequalities for one-dimensional log-concave measure	2025	Denghui Wu Jiazu Zhou
+	Rényi--Sobolev Inequalities and Connections to Spectral Graph Theory	2023	Lei Yu Hao Wu
+ PDF Chat	Regularized modified log-Sobolev inequalities and comparison of Markov chains	2024	Konstantin Tikhomirov Pierre Youssef
+ PDF Chat	Elementary bounds on Poincaré and log-Sobolev constants for decomposable Markov chains	2004	Mark Jerrum Jung-Bae Son Prasad Tetali Eric Vigoda
+ PDF Chat	Modified log-Sobolev inequalities, Beckner inequalities and moment estimates	2021	Radosław Adamczak Bartłomiej Polaczyk Michał Strzelecki
+ PDF Chat	Sum-of-Squares Proofs of Logarithmic Sobolev Inequalities on Finite Markov Chains	2023	Oisín Faust Hamza Fawzi
+ PDF Chat	Poincaré, modified logarithmic Sobolev and isoperimetric inequalities for Markov chains with non-negative Ricci curvature	2018	Matthias Erbar Max Fathi
+	Poincaré, modified logarithmic Sobolev and isoperimetric inequalities for Markov chains with non-negative Ricci curvature	2016	Matthias Erbar Max Fathi
+ PDF Chat	Entropy inequalities for unbounded spin systems	2002	Paolo Dai Pra Anna Maria Paganoni Gustavo Posta

Works That Cite This (164)

Action	Title	Year	Authors
+	Higher order concentration for functions of weakly dependent random variables	2019	Friedrich Götze Holger Sambale Arthur Sinulis
+	Convergence to global equilibrium for Fokker–Planck equations on a graph and Talagrand-type inequalities	2016	Rui Che Wen Huang Yao Li Prasad Tetali
+	The entropy method under curvature-dimension conditions in the spirit of Bakry-\'Emery in the discrete setting of Markov chains	2020	Frederic Weber Rico Zacher
+	Restricted hypercontractivity on the Poisson space	2019	Ivan Nourdin Giovanni Peccati Xiaochuan Yang
+ PDF Chat	The entropy method under curvature-dimension conditions in the spirit of Bakry-Émery in the discrete setting of Markov chains	2021	Frederic Weber Rico Zacher
+	Log-Hessian and Deviation Bounds for Markov Semi-Groups, and Regularization Effect in $\mathbb {L}^{1}$	2021	Nathaël Gozlan Xue-Mei Li Mokshay Madiman Cyril Roberto Paul-Marie Samson
+ PDF Chat	Elementary proof of logarithmic Sobolev inequalities for Gaussian convolutions on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>ℝ</mml:mi></mml:math>	2016	David Zimmermann
+ PDF Chat	Convex Sobolev Inequalities Derived from Entropy Dissipation	2010	Daniel Matthes Ansgar Jüngel Giuseppe Toscani
+	Estimating the decoherence time using non-commutative Functional Inequalities	2017	Ivan Bardet
+	Non-linear Log-Sobolev Inequalities for the Potts Semigroup and Applications to Reconstruction Problems	2023	Y. X. Gu Yury Polyanskiy

Works Cited by This (32)

Action	Title	Year	Authors
+ PDF Chat	Higher eigenvalues and isoperimetric inequalities on Riemannian manifolds and graphs	2000	Fan Chung Alexander Grigor’yan Shing–Tung Yau
+ PDF Chat	Logarithmic Sobolev inequality for some models of random walks	1998	Tzong-Yow Lee Horng‐Tzer Yau
+ PDF Chat	The Concentration of Measure Phenomenon	2005	Michel Ledoux
+	Group representations in probability and statistics	1988	Persi Diaconis
+	L'hypercontractivité et son utilisation en théorie des semigroupes	1994	Dominique Bakry
+	Concentration of Measure for Products of Markov Kernels and Graph Products via Functional Inequalities	2001	Christian Houdré Prasad Tetali
+ PDF Chat	On Talagrand's deviation inequalities for product measures	1997	Michel Ledoux
+	On Modified Logarithmic Sobolev Inequalities for Bernoulli and Poisson Measures	1998	Sergey G. Bobkov Michel Ledoux
+ PDF Chat	Sur les problèmes de sortie discrets inhomogènes	1996	Laurent Miclo
+	Eigenvalues, diameter, and mean distance in graphs	1991	Bojan Mohar