most citedAveraging and large deviation principles for fully-coupled piecewise deterministic Markov processes and applications to molecular motors

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math.PR2008★ 41 cited

Averaging and large deviation principles for fully-coupled piecewise deterministic Markov processes and applications to molecular motors

A. Faggionato, D. Gabrielli, M. Ribezzi Crivellari

We consider Piecewise Deterministic Markov Processes (PDMPs) with a finite set of discrete states. In the regime of fast jumps between discrete states, we prove a law of large numb…