228 citations · 583 across the 35 of their papers we have counts for
39 papers
Scaling limits for random walks on long range percolation clusters
Noam Berger, Yuki Tokushige
We study limit laws for simple random walks on supercritical long-range percolation clusters on the integer lattice. For the long range percolation model, the probability that two…
Doeblin measures: uniqueness and mixing properties
Noam Berger, Diana Conache, Anders Johannson +1
In this paper we solve two open problems in ergodic theory. We prove first that if a Doeblin function (a -function) satisfies \[\limsup_{n\to\infty}\frac{\mbox{var}_n \log g…
Isoperimetric lower bounds for critical exponents for long-range percolation
Johannes Bäumler, Noam Berger
We study independent long-range percolation on where the vertices and are connected with probability for . Provided the critic…
A parabolic Harnack principle for balanced difference equations in random environments
Noam Berger, David Criens
We consider difference equations in balanced, i.i.d. environments which are not necessary elliptic. In this setting we prove a parabolic Harnack inequality (PHI) for non-negative s…
Growth of Stationary Hastings-Levitov
Noam Berger, Eviatar B. Procaccia, Amanda Turner
We construct and study a stationary version of the Hastings-Levitov model. We prove that, unlike in the classical HL model, in the stationary case the size of particles a…
An elliptic Harnack inequality for random walk in balanced environments
Noam Berger, Moran Cohen, Jean-Dominique Deuschel +1
We prove a Harnack inequality for the solutions of a difference equation with non-elliptic balanced i.i.d. coefficients. Along the way we prove a (weak) quantitative homogenisation…