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Metastability and small eigenvalues in Markov chains

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 نشر من قبل Anton Bovier
 تاريخ النشر 2000
  مجال البحث فيزياء
والبحث باللغة English
 تأليف A. Bovier




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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 considerable greater precision as was so far 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 on the convergence of probability distribution of the metastable transition times to the exponential distribution.



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91 - A. Bovier 2000
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