64 citations · 883 across the 36 of their papers we have counts for
7 papers · 1 filter
Random spanning forests and hyperbolic symmetry
Roland Bauerschmidt, Nicholas Crawford, Tyler Helmuth +1
We study (unrooted) random forests on a graph where the probability of a forest is multiplicatively weighted by a parameter per edge. This is called the arboreal gas model, a…
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…
Edge rigidity and universality of random regular graphs of intermediate degree
Roland Bauerschmidt, Jiaoyang Huang, Antti Knowles +1
For random -regular graphs on vertices with , we develop a expansion of the local eigenvalue distribution about the Kesten-McKay law up to or…
Log-Sobolev inequality for the continuum sine-Gordon model
Roland Bauerschmidt, Thierry Bodineau
We derive a multiscale generalisation of the Bakry--Émery criterion for a measure to satisfy a Log-Sobolev inequality. Our criterion relies on the control of an associated PDE well…
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…
The geometry of random walk isomorphism theorems
Roland Bauerschmidt, Tyler Helmuth, Andrew Swan
The classical random walk isomorphism theorems relate the local times of a continuous-time random walk to the square of a Gaussian free field. A Gaussian free field is a spin syste…