107 citations · 586 across the 55 of their papers we have counts for
63 papers
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…
Uniform spanning trees and random matrix statistics
Nathanaël Berestycki, Marcin Lis, Mingchang Liu +1
We consider a uniform spanning tree in a -square grid approximation of a planar domain . For given integer , we condition the tree on the following -arm event: we…
Loewner--Kufarev entropy and large deviations of the Hastings--Levitov model
Nathanaël Berestycki, Vladislav Guskov, Fredrik Viklund
We consider the Hastings--Levitov HL(0) model in the small particle scaling limit and prove a large deviation principle. The rate function is given by the relative entropy of the d…