Cotar, Codina, Deuschel, Jean-Dominique
We consider a gradient interface model on the lattice with interaction potential which is a nonconvex perturbation of a convex potential. Using a technique which decouples the neighboring vertices...
Strict convexity of the free energy for non-convex gradient models at moderate $\beta$ (2008)
Cotar, Codina, Deuschel, Jean-Dominique, Müller, Stefan
We consider a gradient interface model on the lattice with interaction potential which is a non-convex perturbation of a convex potential. We show using a one-step multiple scale analysis the strict...
A Percolating Hard Sphere Model (2006)
Cotar, Codina, Holroyd, Alexander E., Revelle, David
Given a homogeneous Poisson point process in R^d, Haggstrom and Meester asked whether it is possible to place spheres (of differing radii) centred at the points, in a translation-invariant way, so...
A note on the lilypond model (2004)
Cotar, Codina, Volkov, Stanislav
We consider some generalizations of the germ-grain growing model studied by Daley, Mallows and Shepp (2000). In this model, a realization of a Poisson process on a line with points Xi is fixed. At...