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.
Pedrotti,Contractive coupling rates and curvature lower bounds for Markov chains, arXiv:2308.00516, 2023
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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.