38 citations · 136 across the 19 of their papers we have counts for
4 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…
Efficient sampling and counting algorithms for the Potts model on at all temperatures
Christian Borgs, Jennifer Chayes, Tyler Helmuth +2
For and all we give an efficient algorithm to approximately sample from the -state ferromagnetic Potts and random cluster models on finite tori $(\mat…
The continuous-time lace expansion
David C. Brydges, Tyler Helmuth, Mark Holmes
We derive a continuous-time lace expansion for a broad class of self-interacting continuous-time random walks. Our expansion applies when the self-interaction is a sufficiently nic…
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…