4 papers
On Loops in critical high-dimensional percolation
Amelia Carpenter, Wendelin Werner
We show the following results about critical Bernoulli percolation in high dimensions: In a box of side-length N, there exist self-avoiding open loops of diameter comparable to N,…
Intensity doubling for Brownian loop-soups in high dimensions
Titus Lupu, Wendelin Werner
We derive an intensity doubling feature of critical Brownian loop-soups on the cable-graphs of for that can be described as follows: In the box $[-N, N]^d…
Parity questions in critical planar Brownian loop-soups (or "where did the free planar bosons go?")
Matthis Lehmkuehler, Wei Qian, Wendelin Werner
The critical two-dimensional Brownian loop-soup is an infinite collection of non-interacting Brownian loops in a planar domain that possesses some combinatorial features related to…
A switching identity for cable-graph loop soups and Gaussian free fields
Wendelin Werner
We derive a "switching identity" that can be stated for critical Brownian loop-soups or for the Gaussian free field on a cable graph: It basically says that at the level of cluster…