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The influence of a time-periodic forcing on stochastic processes canessentially be emphasized in the large time behaviour of their paths. Thestatistics of transition in a simple Markov chain model permits to quantifythis influence. In particular the first Floquet multiplier of the associatedgenerating function can be explicitly computed and related to the equilibriumprobability measure of an associated process in higher dimension. Anapplication to the stochastic resonance is presented.

Statistics of transitions for Markov chains with periodic forcing