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Statistics of transitions for Markov chains with periodic forcing

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 نشر من قبل Damien Landon
 تاريخ النشر 2013
  مجال البحث
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 تأليف Samuel Herrmann




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The influence of a time-periodic forcing on stochastic processes can essentially be emphasized in the large time behaviour of their paths. The statistics of transition in a simple Markov chain model permits to quantify this influence. In particular the first Floquet multiplier of the associated generating function can be explicitly computed and related to the equilibrium probability measure of an associated process in higher dimension. An application to the stochastic resonance is presented.

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