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Asymptotic rates of convergence for compact reversible Markov chains

Published 4 Aug 2023 in math.PR and math.NT | (2308.02232v1)

Abstract: In this paper, we establish the main term governing the rate at which a compact reversible Markov chain converges to stationarity. As an application, we obtain the sharpest estimates for the corank distributions of uniform, skew centrosymmetric, symmetric, skew-symmetric, and Hermitian matrices.

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