18 citations · 45 across the 7 of their papers we have counts for
3 papers · 1 filter
On the blockage problem and the non-analyticity of the current for the parallel TASEP on a ring
Benedetto Scoppola, Carlo Lancia, Riccardo Mariani
The Totally Asymmetric Simple Exclusion Process (TASEP) is an important example of a particle system driven by an irreversible Markov chain. In this paper we give a simple yet rigo…
Equilibrium and non-equilibrium Ising models by means of PCA
Carlo Lancia, Benedetto Scoppola
We propose a unified approach to reversible and irreversible PCA dynamics, and we show that in the case of 1D and 2D nearest neighbour Ising systems with periodic boundary conditio…
Entropy-driven cutoff phenomena
Carlo Lancia, Francesca R. Nardi, Benedetto Scoppola
In this paper we present, in the context of Diaconis' paradigm, a general method to detect the cutoff phenomenon. We use this method to prove cutoff in a variety of models, some al…