7 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…
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…
A New Probabilistic Mobile Byzantine Failure Model for Self-Protecting Systems
Silvia Bonomi, Giovanni Farina, Roy Friedman +2
Modern distributed systems face growing security threats, as attackers continuously enhance their skills and vulnerabilities span across the entire system stack, from hardware to t…
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…