59 citations · 150 across the 16 of their papers we have counts for
6 papers · 1 filter
An explicit large deviation analysis of the spatial cycle Huang-Yang-Luttinger model
Stefan Adams, Matthew Dickson
Here we introduce a family of spatial cycle HYL-type models in which the counter-term only affects cycles longer than some cut-off that diverges in the thermodynamic limit. We deri…
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…
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…
C^*-algebraic approach to the Bose-Hubbard model
Stefan Adams, Tony Dorlas
We give a new derivation of the variational formula for the pressure of the long-range-hopping Bose-Hubbard model, which was first proved in \cite{BD}. The proof is analogous to th…
Asymptotic Feynman-Kac formulae for large symmetrised systems of random walks
Stefan Adams, Tony Dorlas
We study large deviations principles for random processes on the lattice with finite time horizon under a symmetrised measure where all initial and termina…