Reversible Markov chains possess finite-time spectral rigidity controlled by eigenvalue separation, with two-sided bounds on rigidity time and a covariance-based spectral entropy theory.
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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Quantitative Spectral Rigidity and Finite-Time Spectral Thermodynamics in Reversible Markov Chains
Reversible Markov chains possess finite-time spectral rigidity controlled by eigenvalue separation, with two-sided bounds on rigidity time and a covariance-based spectral entropy theory.