Modified logarithmic Sobolev inequalities for some models of random walk

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Modified Logarithmic Sobolev Inequalities in Discrete Settings (2006, unknown): “Unaware of [20] and our present work, these examples and some others (such as the top-to-random card shuffle) have been derived by S. Goel [21].”
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].”