74 citations · 681 across the 51 of their papers we have counts for
3 papers · 2 filters
Multi-level pinning problems for random walks and self-avoiding lattice paths
Pietro Caputo, Fabio Martinelli, Fabio Lucio Toninelli
We consider a generalization of the classical pinning problem for integer-valued random walks conditioned to stay non-negative. More specifically, we take pinning potentials of the…
On the probability of staying above a wall for the (2+1)-dimensional SOS model at low temperature
Pietro Caputo, Fabio Martinelli, Fabio Lucio Toninelli
We obtain sharp asymptotics for the probability that the (2+1)-dimensional discrete SOS interface at low temperature is positive in a large region. For a square region , both un…
Approximate tensorization of entropy at high temperature
Pietro Caputo, Georg Menz, Prasad Tetali
We show that for weakly dependent random variables the relative entropy functional satisfies an approximate version of the standard tensorization property which holds in the indepe…