46 citations · 271 across the 29 of their papers we have counts for
4 papers · 1 filter
Activated Random Walkers: Facts, Conjectures and Challenges
Ronald Dickman, Leonardo T. Rolla, Vladas Sidoravicius
We study a particle system with hopping (random walk) dynamics on the integer lattice . The particles can exist in two states, active or inactive (sleeping); only the…
The Discrete and Continuum Broken Line Process
Leonardo T. Rolla, Vladas Sidoravicius, Donatas Surgailis +1
In this work we introduce the discrete-space broken line process (with discrete and continues parameter values) and derive some of its properties. We explore polygonal Markov field…
Absorbing-State Phase Transition for Driven-Dissipative Stochastic Dynamics on
Leonardo T. Rolla, Vladas Sidoravicius
We study the long-time behavior of conservative interacting particle systems in : the activated random walk model for reaction-diffusion systems and the stochastic sandpile. We…
Renormalization Group Analysis of Nonlinear Diffusion Equations with Periodic Coefficients
Gastao A. Braga, Frederico Furtado, Jussara M. Moreira +1
In this paper we present an efficient numerical approach based on the Renormalization Group method for the computation of self-similar dynamics. The latter arise, for instance, as…