Spectral purification in reversible Markov chains is controlled by a hidden parameter x_k driven by the eigenvalue ratio λ3/λ2, making six diagnostics equivalent and yielding non-asymptotic bounds on rigidity time plus a spectral entropy second law.
Chafa¨ ı, From Boltzmann to random matrices and beyond,Annales de la Facult´ e des Sciences de Toulouse,24(2015), 641–689
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Spectral Purification in Reversible Markov Chains: Hidden Parameters, Observable Equivalence, and Finite-Time Rigidity
Spectral purification in reversible Markov chains is controlled by a hidden parameter x_k driven by the eigenvalue ratio λ3/λ2, making six diagnostics equivalent and yielding non-asymptotic bounds on rigidity time plus a spectral entropy second law.