316 citations · 2.7k across the 94 of their papers we have counts for
9 papers · 1 filter
Rain, power laws, and advection
Ronald Dickman
Localized rain events have been found to follow power-law size and duration distributions over several decades, suggesting parallels between precipitation and seismic activity [O.…
Survival-extinction phase transition in a bit-string population with mutation
Kathia M. Fehsenfeld, Ronald Dickman, Americo T. Bernardes
A bit-string model for the evolution of a population of haploid organisms, subject to competition, reproduction with mutation and selection is studied, using mean field theory and…
Nonuniversality in the pair contact process with diffusion
Ronald Dickman, Marcio Argollo Ferreira de Menezes
We study the static and dynamic behavior of the one dimensional pair contact process with diffusion. Several critical exponents are found to vary with the diffusion rate, while the…
Quasi-stationary distributions for the Domany-Kinzel stochastic cellular automaton
A. P. F. Atman, Ronald Dickman
We construct the {\it quasi-stationary} (QS) probability distribution for the Domany-Kinzel stochastic cellular automaton (DKCA), a discrete-time Markov process with an absorbing s…
Compact directed percolation with movable partial reflectors
Ronald Dickman, Daniel ben-Avraham
We study a version of compact directed percolation (CDP) in one dimension in which occupation of a site for the first time requires that a "mine" or antiparticle be eliminated. Thi…
Path-integral representation for a stochastic sandpile
Ronald Dickman, Ronaldo Vidigal
We introduce an operator description for a stochastic sandpile model with a conserved particle density, and develop a path-integral representation for its evolution. The resulting…
Asymptotic analysis of a random walk with a history-dependent step length
Ronald Dickman, Francisco Fontenele Araujo, Daniel ben-Avraham
We study an unbiased, discrete time random walk on the nonnegative integers, with the origin absorbing. The process has a history-dependent step length: the walker takes steps of l…
Sandpiles with height restrictions
Ronald Dickman, Tania Tome, Mario J. de Oliveira
We study stochastic sandpile models with a height restriction in one and two dimensions. A site can topple if it has a height of two, as in Manna's model, but, in contrast to previ…
Recoiling DNA Molecule: Simulation & Experiment
Jose Coelho Neto, Ronald Dickman, O. N. Mesquita
Single molecule DNA experiments often generate data from force versus extension measurements involving the tethering of a microsphere to one end of a single DNA molecule while the…