128 citations · 260 across the 15 of their papers we have counts for
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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…
Estimates for the Green's function of the discrete bilaplacian in dimensions 2 and 3
Stefan Müller, Florian Schweiger
We prove estimates for the Green's function of the discrete bilaplacian in squares and cubes in two and three dimensions which are optimal except possibly near the corners of the s…
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…
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…