4 papers
Cluster-Cluster model in
Noam Berger, Eviatar B. Procaccia, Dominik Schmid +1
We consider a stochastic process on for . Given a translation invariant and ergodic starting configuration of finite clusters, each cluster performs a…
Invariance principles for rough walks in random conductances
Johannes Bäumler, Noam Berger, Tal Orenshtein +1
We establish annealed and quenched invariance principles for random walks in random conductances lifted to the p-variation rough path topology, allowing for degenerate environments…
On one-dimensional Cluster cluster model
Noam Berger, Eviatar B. Procaccia, Daniel Sharon
The Cluster-cluster model was introduced by Meakin et al in 1984. Each starts with a cluster of size 1 with probability independently. Each cluste…
Logarithmic fluctuations of Stationary Hastings-Levitov
Noam Berger, Eviatar B. Procaccia
We prove that the fluctuation field of stationary Hastings-Levitov exhibits logarithmic spatial correlations. Moreover, by studying the infinites…