64 citations · 883 across the 36 of their papers we have counts for
4 papers · 1 filter
Dislocation lines in three-dimensional solids at low temperature
Roland Bauerschmidt, Diana Conache, Markus Heydenreich +2
We propose a model for three-dimensional solids on a mesoscopic scale with a statistical mechanical description of dislocation lines in thermal equilibrium. The model has a lineari…
Spectral gap critical exponent for Glauber dynamics of hierarchical spin models
Roland Bauerschmidt, Thierry Bodineau
We develop a renormalisation group approach to deriving the asymptotics of the spectral gap of the generator of Glauber type dynamics of spin systems with strong correlations (at a…
Dynkin isomorphism and Mermin--Wagner theorems for hyperbolic sigma models and recurrence of the two-dimensional vertex-reinforced jump process
Roland Bauerschmidt, Tyler Helmuth, Andrew Swan
We prove the vertex-reinforced jump process (VRJP) is recurrent in two dimensions for any translation invariant finite range initial rates. Our proof has two main ingredients. The…
A very simple proof of the LSI for high temperature spin systems
Roland Bauerschmidt, Thierry Bodineau
We present a very simple proof that the model satisfies a uniform logarithmic Sobolev inequality (LSI) if the positive definite coupling matrix has largest eigenvalue less t…