1 citations · 1 across the 3 of their papers we have counts for
6 papers
Quantitative delocalisation for the Gaussian and -SOS long-range chains
Loren Coquille, Paul Dario, Arnaud Le Ny
The goal of this article is to study quantitatively the localisation/delocalisation properties of the discrete Gaussian chain with long-range interactions. Specifically, we conside…
The impact of disorder and non-convex interactions on delocalisation of height functions
Paul Dario, Diederik van Engelenburg, Christophe Garban
We study the behaviour of four spins systems (the XY model, the Villain model, the XY height function and the integer-valued Gaussian free field) in the presence of a non-elliptic…
Quantitative homogenization for the critical long-range random conductance model
Ahmed Bou-Rabee, Paul Dario
We consider the long-range random conductance model on at the critical exponent: the jump rate between sites and decays as ,…
Parallel spin wave for the Villain model
Paul Dario, Wei Wu
In this paper, we study the Villain model in in dimension . It is conjectured, that the parallel correlation function in the infinite volume Gibbs state, i.…
Phase transitions for the model in non-uniformly elliptic and Poisson-Voronoi environments
Paul Dario, Christophe Garban
The goal of this paper is to analyze how the celebrated phase transitions of the model are affected by the presence of a non-elliptic quenched disorder. In dimension , we…
Hydrodynamic limit for a class of degenerate convex -interface models
Paul Dario
We study the Langevin dynamics corresponding to the -interface model with a degenerate convex interaction potential satisfying a polynomial growth assumption. Following…