3 citations · 5 across the 4 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…
Analyticity for rapidly determined properties of Poisson Galton--Watson trees
Yuval Peres, Andrew Swan
Let be a Galton--Watson tree with Poisson() offspring, and let be a tree property. In this paper, are concerned with the regularity of the function $\mathbb{P}_λ(A):=…
On Church's Thesis in Cubical Assemblies
Andrew Swan, Taichi Uemura
We show that Church's thesis, the axiom stating that all functions on the naturals are computable, does not hold in the cubical assemblies model of cubical type theory. We show tha…
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…