On logarithmic Sobolev inequalities for continuous time random walks on graphs

By Cécile Ané, Michel Ledoux. 2000

48 citations recorded by the source corpus.

Subfields: Mathematical Physics, Molecular Biology, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/cce777a017c3cf2ebab0313d876da4f9f1f6273b

Citations in the corpus

Concentration and deviation inequalities in infinite dimensions via covariance representations (2002, unknown): “Here we tackle the infinite dimensional case with a similar method, recovering the results recently obtained in [2], [6], using (modified) logarithmic Sobolev inequalities, and also the stronger results of [30] obtained from sharp logarithmic Sobolev inequalities, cf.”
Entropies, convexity, and functional inequalities (2002, unknown): “formulas and then permits to derive respectively Poincar´ e and log-Sobolev inequalities, see [AL00] for the simple Poisson point process and [CM02] for more general L´ evy processes.”
Poisson process Fock space representation, chaos expansion and covariance inequalities (2009, unknown): “Then E exp [ − ∫ vdξ ] = exp [ − ∫ vdα − ∫ ( 1 − e− R vdµ ) Q(dµ) ] , (6.1) where α ∈ M and the KLM (or Lévy) measure Q is a σ-finite measure on M having Q({0}) = 0 (here 0 denotes the zero measure) and ∫ (1 − exp[−µ(B)])Q(dµ) ∞, B ∈ X0.”
Entropies, convexity, and functional inequalities : On Phi-entropies and Phi-Sobolev inequalities (2004, unknown): “formulas and then permits to derive respectively Poincar´ e and log-Sobolev inequalities, see [AL00] for the simple Poisson point process and [CM02] for more general L´ evy processes.”
Ricci Curvature of Finite Markov Chains via Convexity of the Entropy (2011, unknown): “along with different discrete logarithmic Sobolev inequalities in the literature (for example, [4, 10]).”
Stochastic Analysis in Discrete and Continuous Settings: With Normal Martingales (2009, unknown): “On Riemannian path space [24] and on Poisson space [7], [155], martingale methods have been successfully applied to the proof of logarithmic Sobolev inequalities.”