64 citations · 883 across the 36 of their papers we have counts for
4 papers · 2 filters
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…
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…
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…