Introduces retention profiles r(x) and localization ratio L(P) for row-wise KL contraction analysis in finite Markov chains, with convexity-gap identity equating divergence gap to mutual information and constructions decoupling L(P) from spectral gap and mixing time.
Salez,Hyper-contractivity and entropy decay in discrete time, arXiv:2602.17305, 2026
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Retention Profiles and KL Contraction Bounds in Finite Markov Chains
Introduces retention profiles r(x) and localization ratio L(P) for row-wise KL contraction analysis in finite Markov chains, with convexity-gap identity equating divergence gap to mutual information and constructions decoupling L(P) from spectral gap and mixing time.