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Pré-Publication, Document De Travail Année : 2013

Statistics of transitions for Markov chains with periodic forcing

Résumé

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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Dates et versions

hal-00804847 , version 1 (26-03-2013)
hal-00804847 , version 2 (17-10-2014)

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Samuel Herrmann, Damien Landon. Statistics of transitions for Markov chains with periodic forcing. 2013. ⟨hal-00804847v1⟩
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