27 citations · 37 across the 8 of their papers we have counts for
7 papers · 1 filter
Law of large numbers for activated random walk on villages
Balázs Ráth, Jacob Richey, Miklós Salánki
We consider activated random walk (ARW), an interacting particle system and prototypical model of self-organized criticality in a setting which combines mean-field behavior with th…
Diffusion-limited annihilating-coalescing systems
Sungwon Ahn, Matthew Junge, Hanbaek Lyu +3
We study a family of interacting particle systems with annihilating and coalescing reactions. Two types of particles are interspersed throughout a transitive unimodular graph. Both…
Random walks on regular trees can not be slowed down
Omer Angel, Jacob Richey, Yinon Spinka +1
A random walk on a regular tree (or any non-amenable graph) has positive speed. We ask whether such a walk can be slowed down by applying carefully chosen time-dependent permutatio…
Active Phase for the Stochastic Sandpile on Z
Christopher Hoffman, Yiping Hu, Jacob Richey +1
We prove that the critical value of the one-dimensional Stochastic Sandpile Model is less than one. This verifies a conjecture of Rolla and Sidoravicius.
Active Phase for Activated Random Walk on Z
Christopher Hoffman, Jacob Richey, Leonardo T. Rolla
We consider the Activated Random Walk model on . In this model, each particle performs a continuous-time simple symmetric random walk, and falls asleep at rate . A s…
Intersections of random sets
Jacob Richey, Amites Sarkar
We consider a variant of a classical coverage process, the boolean model in . Previous efforts have focused on convergence of the unoccupied region containing the ori…
Activated Random Walk on a cycle
Riddhipratim Basu, Shirshendu Ganguly, Christopher Hoffman +1
We consider Activated Random Walk (ARW), a particle system with mass conservation, on the cycle . One starts with a mass density of initially active p…