203 citations · 3.5k across the 97 of their papers we have counts for
97 papers
Statistical properties of sites visited by independent random walks
E. Ben-Naim, P. L. Krapivsky
The set of visited sites and the number of visited sites are two basic properties of the random walk trajectory. We consider two independent random walks on a hyper-cubic lattice a…
Monotonicity in the averaging process
E. Ben-Naim, P. L. Krapivsky
We investigate an averaging process that describes how interacting agents approach consensus through binary interactions. In each elementary step, two agents are selected at random…
Jamming and Tiling in Fragmentation of Rectangles
E. Ben-Naim, P. L. Krapivsky
We investigate a stochastic process where a rectangle breaks into smaller rectangles through a series of horizontal and vertical fragmentation events. We focus on the case where bo…
Jamming and Tiling in Aggregation of Rectangles
D. S. Ben-Naim, E. Ben-Naim, P. L. Krapivsky
We study a random aggregation process involving rectangular clusters. In each aggregation event, two rectangles are chosen at random and if they have a compatible side, either vert…
Extinction and Survival in Two-Species Annihilation
J. G. Amar, E. Ben-Naim, S. M. Davis +1
We study diffusion-controlled two-species annihilation with a finite number of particles. In this stochastic process, particles move diffusively, and when two particles of opposite…
Kinetics of Aggregation with Choice
E. Ben-Naim, P. L. Krapivsky
We generalize the ordinary aggregation process to allow for choice. In ordinary aggregation, two random clusters merge and form a larger aggregate. In our implementation of choice,…