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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…
math.PR2007
The alternating marked point process of h-slopes of the drifted Brownian motion
A. Faggionato
We show that the slopes between h-extrema of the drifted 1D Brownian motion form a stationary alternating marked point process, extending the result of J. Neveu and J. Pitman for t…