期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
卷 33, 期 46, 页码 L447-L451出版社
IOP PUBLISHING LTD
DOI: 10.1088/0305-4470/33/46/102
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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 considerably greater precision than has so far been available. This includes a sharp uncertainty principle relating all low-lying eigenvalues to mean times of metastable transitions, a relation between the support of eigenfunctions and the attractor of a metastable state and sharp estimates of the convergence of the probability distribution of the metastable transition times to the exponential distribution.
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