322 citations · 1.5k across the 67 of their papers we have counts for
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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…
Interaction versus entropic repulsion for low temperature Ising polymers
Dmitry Ioffe, Senya Shlosman, Fabio Lucio Toninelli
Contours associated to many interesting low-temperature statistical mechanics models (2D Ising model, (2+1)D SOS interface model, etc) can be described as self-interacting and self…
Height fluctuations in interacting dimers
Alessandro Giuliani, Vieri Mastropietro, Fabio Lucio Toninelli
We consider a non-integrable model for interacting dimers on the two-dimensional square lattice. Configurations are perfect matchings of , i.e. subsets of edges such t…
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…