Exponential decay of entropy in the random transposition and Bernoulli-Laplace models

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Stochastic Analysis in Discrete and Continuous Settings: With Normal Martingales (2009, background): “+qE [f ] log ( 1− p df E [f ] ) − qpdf log f(−1) ≤ pqdf log f(1)− pqdf log f(−1) = pqE [dfd log f ] , which, by tensorization, recovers the following L(1) inequality of [49], [31], and proved in [155] in the Poisson case.”
Modified logarithmic Sobolev inequalities for some models of random walk (2004, methodology): “One such modi!cation, considered in [17, 24, 30], is the topic of this paper.”
Stochastic analysis of Bernoulli processes (2008, background): “Privault/Stochastic analysis of Bernoulli processes 468 which, by tensorization, recovers the following L(1) inequality of [11, 7], and proved in [28] in the Poisson case.”
Correlation and Brascamp–Lieb Inequalities for Markov Semigroups (2009, background): “In the discrete case, some examples of superadditive inequalities for Fisher information were implicitly obtained in the papers [9, 18, 19].”
Displacement convexity of entropy and related inequalities on graphs (2012, unknown): “[7] , [10], [5], [13], [14], [46], [44].”