107 citations · 586 across the 55 of their papers we have counts for
4 papers · 2 filters
Spectral expansion of LQG heat trace and KPZ scaling
Nathanaël Berestycki, Jakob Klein
Let be a whole plane Gaussian free field, and let be a bounded domain in two dimensions. We study the asymptotics as of the Liouville quantum gravity (LQG) heat tr…
Massive holomorphicity of near-critical dimers and sine-Gordon model
Nathanaël Berestycki, Scott Mason, Lucas Rey
In this paper, we consider the near-critical dimer model in the setup of isoradial superpositions with Temperleyan boundary conditions. We show that the centered height function co…
Brownian paths as loop-decorated SLEs
Nathanaël Berestycki, Isao Sauzedde
We construct an application, which takes as input a simple path and a possibly infinite collection of loops, and outputs a continuous path by adding the loops chronologically to th…
Stationary hitting times on vertex-transitive graphs
Nathanaël Berestycki, Jonathan Hermon, Lucas Teyssier
We prove a refined version of the Aldous and Brown's exponential approximation of stationary hitting times. These are valid for all reversible Markov chains. We then specialise our…