258 citations · 915 across the 51 of their papers we have counts for
4 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…
Harmonic pinnacles in the Discrete Gaussian model
Eyal Lubetzky, Fabio Martinelli, Allan Sly
The 2D Discrete Gaussian model gives each height function a probability proportional to , where is the inverse-temperatur…
Relaxation to equilibrium of generalized East processes on : Renormalization group analysis and energy-entropy competition
Paul Chleboun, Alessandra Faggionato, Fabio Martinelli
We consider a class of kinetically constrained interacting particle systems on which play a key role in several heuristic qualitative and quantitative approaches t…