41 citations · 49 across the 4 of their papers we have counts for
5 papers
Box-ball system: soliton and tree decomposition of excursions
Pablo A Ferrari, Davide Gabrielli
We review combinatorial properties of solitons of the Box-Ball system introduced by Takahashi and Satsuma in 1990. Starting with several definitions of the system, we describe ways…
BBS invariant measures with independent soliton components
Pablo A. Ferrari, Davide Gabrielli
The Box-Ball System (BBS) is a one-dimensional cellular automaton in introduced by Takahashi and Satsuma \cite{TS}, who also identified conserved sequences called \emp…
Which random walks are cyclic?
Davide Gabrielli, Carla Valente
A cyclic random walk is a random walk whose transition probabilities/rates can be written as a superposition of the empirical measures of a family of finite cycles. This identifies…
A representation formula for large deviations rate functionals of invariant measures on the one dimensional torus
A. Faggionato, D. Gabrielli
We consider a generic diffusion on the 1D torus and give a simple representation formula for the large deviation rate functional of its invariant probability measure, in the limit…
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…