6 papers · 1 filter
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…
One-arm domination time in Cylindrical Hastings-Levitov
Guanyi Chen, Eviatar B. Procaccia, Yuxuan Zong
The cylindrical Hastings-Levitov admits a single infinite connected tree (arm). For a cylinder of width and particles of size , {we consider the first time $\upsilon_{…
Pool model: a mass preserving multi particle aggregation process
Zhenhao Cai, Eviatar B. Procaccia, Yuan Zhang
We present and study the Pool model in , a rotationally symmetric analogue of Multi-Particle Diffusion-Limited Aggregation (MDLA), in which particles ("droplets") per…
Chemical distance in graphs of polynomial growth
Christian Gorski, Eviatar B. Procaccia
We prove an Antal-Pisztora type theorem for transitive graphs of polynomial growth. That is, we show that if is a transitive graph of polynomial growth and , then f…
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…