322 citations · 1.5k across the 67 of their papers we have counts for
4 papers · 2 filters
Zero-temperature 2D Ising model and anisotropic curve-shortening flow
H. Lacoin, F. Simenhaus, F. L. Toninelli
Let $\DD$ be a simply connected, smooth enough domain of . For consider the continuous time, zero-temperature heat bath dynamics for the nearest-neighbor Ising model…
Hierarchical pinning model in correlated random environment
Quentin Berger, Fabio Toninelli
We consider the hierarchical disordered pinning model studied in [9], which exhibits a localization/delocalization phase transition. In the case where the disorder is i.i.d. (indep…
A one-dimensional coagulation-fragmentation process with a dynamical phase transition
Cedric Bernardin, Fabio Lucio Toninelli
We introduce a reversible Markovian coagulation-fragmentation process on the set of partitions of into disjoint intervals. Each interval can either split or merge…
Mixing times of monotone surfaces and SOS interfaces: a mean curvature approach
Pietro Caputo, Fabio Martinelli, Fabio Lucio Toninelli
We consider stochastic spin-flip dynamics for: (i) monotone discrete surfaces in Z^3 with planar boundary height and (ii) the one-dimensional discrete Solid-on-Solid (SOS) model co…