42 citations · 75 across the 4 of their papers we have counts for
4 papers
Wetting Transition on Trees I: Percolation With Clustering
Aser Cortines, Itamar Harel, Dmitry Ioffe +1
A new ``Percolation with Clustering'' (PWC) model is introduced, where (the probabilities of) site percolation configurations on the leaf set of a binary tree are rewarded exponent…
Finite volume approximation of the effective diffusion matrix: The case of independent bond disorder
Pietro Caputo, Dima Ioffe
Consider uniformly elliptic random walk on with independent jump rates across nearest neighbour bonds of the lattice. We show that the infinite volume effective diffusion…
2D models of statistical physics with continuous symmetry: the case of singular interactions
Dima Ioffe, Senya Shlosman, Yvan Velenik
We show the absence of continuous symmetry breaking in 2D lattice systems without any smoothness assumptions on the interaction. We treat certain cases of interactions with integra…
Winterbottom Construction for Finite Range Ferromagnetic Models: An L_1 Approach
T. Bodineau, D. Ioffe, Y. Velenik
We provide a rigorous microscopic derivation of the thermodynamic description of equilibrium crystal shapes in the presence of a substrate, first studied by Winterbottom. We consid…