13 citations · 34 across the 4 of their papers we have counts for
5 papers
Cauchy-Born Rule from Microscopic Models with Non-convex Potentials
Stefan Adams, Simon Buchholz, Roman Kotecký +1
We study gradient field models on an integer lattice with non-convex interactions. These models emerge in distinct branches of physics and mathematics under various names. In parti…
The Widom-Rowlinson model: Mesoscopic fluctuations for the critical droplet
Frank den Hollander, Sabine Jansen, Roman Kotecký +1
We study the critical droplet for a close-to-equilibrium Widom-Rowlinson model of interacting particles, represented by disks of radius , in the two-dimensional plane at low tem…
Strict Convexity of the Surface Tension for Non-convex Potentials
Stefan Adams, Roman Kotecký, Stefan Müller
We study gradient models on the lattice with non-convex interactions. These Gibbs fields (lattice models with continuous spin) emerge in various branches of physics…
The random interchange process on the hypercube
Roman Kotecký, Piotr Miłoś, Daniel Ueltschi
We prove the occurrence of a phase transition accompanied by the emergence of cycles of diverging lengths in the random interchange process on the hypercube.
Finite range decomposition for families of gradient Gaussian measures
Stefan Adams, Roman Kotecký, Stefan Müller
Let a family of gradient Gaussian vector fields on be given. We show the existence of a uniform finite range decomposition of the corresponding covariance operator…