322 citations · 1.5k across the 67 of their papers we have counts for
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Stationary measure of the driven two-dimensional q-Whittaker particle system on the torus
Ivan Corwin, Fabio Lucio Toninelli
We consider a q-deformed version of the uniform Gibbs measure on dimers on the periodized hexagonal lattice (equivalently, on interlacing particle configurations, if vertical dimer…
Universality for the pinning model in the weak coupling regime
Francesco Caravenna, Fabio Lucio Toninelli, Niccolo Torri
We consider disordered pinning models, when the return time distribution of the underlying renewal process has a polynomial tail with exponent . This corresponds to a…
A (2+1)-dimensional growth process with explicit stationary measures
Fabio Lucio Toninelli
We introduce a class of (2+1)-dimensional stochastic growth processes, that can be seen as irreversible random dynamics of discrete interfaces. "Irreversible" means that the interf…
Height fluctuations in non-integrable classical dimers
Alessandro Giuliani, Vieri Mastropietro, Fabio Lucio Toninelli
We rigorously establish the asymptotic equivalence between the height function of interacting dimers on the square lattice and the massless Gaussian free field. Our theorem explain…