The singular-value gap of a nonreversible Markov generator bounds finite-time variance of empirical averages uniformly over L2 functions and implies solvability of the Poisson equation when positive.
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Singular-value gap of nonreversible Markov processes
The singular-value gap of a nonreversible Markov generator bounds finite-time variance of empirical averages uniformly over L2 functions and implies solvability of the Poisson equation when positive.