41 citations · 95 across the 11 of their papers we have counts for
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math.PR2008★ 1 cited
Recurrence and transience for long-range reversible random walks on a random point process
P. Caputo, A. Faggionato, A. Gaudilliere
We consider reversible random walks in random environment obtained from symmetric long--range jump rates on a random point process. We prove almost sure transience and recurrence r…
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…