6 citations · 6 across the 1 of their papers we have counts for
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On the approach to equilibrium for a polymer with adsorption and repulsion
Pietro Caputo, Fabio Martinelli, Fabio Lucio Toninelli
We consider paths of a one-dimensional simple random walk conditioned to come back to the origin after L steps (L an even integer). In the 'pinning model' each path ηhas a weight λ…
Kinetically constrained spin models
Nicoletta Cancrini, Fabio Martinelli, Cyril Roberto +1
We analyze the density and size dependence of the relaxation time for kinetically constrained spin models (KCSM) intensively studied in the physical literature as simple models sha…
Relaxation time of -reversal chains and other chromosome shuffles
N. Cancrini, P. Caputo, F. Martinelli
We prove tight bounds on the relaxation time of the so-called -reversal chain, which was introduced by R. Durrett as a stochastic model for the evolution of chromosome chains. T…
Glauber dynamics on trees:Boundary conditions and mixing time
Fabio Martinelli, Alistair Sinclair, Dror Weitz
We give the first comprehensive analysis of the effect of boundary conditions on the mixing time of the Glauber dynamics in the so-called Bethe approximation. Specifically, we show…