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math.PR2000★ 34 cited
Metastability and low lying spectra in reversible Markov chains
A. Bovier, M. Eckhoff, V. Gayrard +1
We study a large class of reversible Markov chains with discrete state space and transition matrix . We define the notion of a set of {\it metastable points} as a subset of th…
cond-mat.dis-nn2000★ 31 cited
Metastability and small eigenvalues in Markov chains
A. Bovier, M. Eckhoff, V. Gayrard +1
In this letter we announce rigorous results that elucidate the relation between metastable states and low-lying eigenvalues in Markov chains in a much more general setting and with…