7 papers
Mean-field tricritical polymers
Roland Bauerschmidt, Gordon Slade
We provide an introductory account of a tricritical phase diagram, in the setting of a mean-field random walk model of a polymer density transition, and clarify the nature of the d…
Introduction to a renormalisation group method
Roland Bauerschmidt, David C. Brydges, Gordon Slade
This book provides an introduction to a renormalisation group method in the spirit of that of Wilson. It starts with a concise overview of the theory of critical phenomena and the…
Three-dimensional tricritical spins and polymers
Roland Bauerschmidt, Martin Lohmann, Gordon Slade
We consider two intimately related statistical mechanical problems on : (i) the tricritical behaviour of a model of classical unbounded -component continuous spins…
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…