20 citations · 79 across the 16 of their papers we have counts for
12 papers · 1 filter
Longest weakly increasing subsequences of discrete random walks on the integers with heavy tailed distribution of increments
José Ricardo G. Mendonça, Marcelo V. Freire
We investigate the behavior of the length of the longest weakly increasing subsequences (weak LIS) of -step random walks with nonzero integer increments $k = \pm 1, \pm 2, \dots…
A numerical investigation into the scaling behavior of the longest increasing subsequences of the symmetric ultra-fat tailed random walk
J. Ricardo G. Mendonça
The longest increasing subsequence (LIS) of a sequence of correlated random variables is a basic quantity with potential applications that has started to receive proper attention o…
Asymptotic behavior of the length of the longest increasing subsequences of random walks
J. Ricardo G. Mendonça, Hendrik Schawe, Alexander K. Hartmann
We numerically estimate the leading asymptotic behavior of the length of the longest increasing subsequence of random walks with step increments following Student's -dis…
A probabilistic cellular automata model for the dynamics of a population driven by logistic growth and weak Allee effect
J. Ricardo G. Mendonça
We propose and investigate a one-parameter probabilistic mixture of one-dimensional elementary cellular automata under the guise of a model for the dynamics of a single-species uns…
Density classification performance and ergodicity of the Gacs-Kurdyumov-Levin cellular automaton model IV
J. Ricardo G. Mendonça, Rolf E. O. Simões
Almost four decades ago, Gacs, Kurdyumov, and Levin introduced three different cellular automata to investigate whether one-dimensional nonequilibrium interacting particle systems…
Approximate probabilistic cellular automata for the dynamics of single-species populations under discrete logisticlike growth with and without weak Allee effects
J. Ricardo G. Mendonça, Yeva Gevorgyan
We investigate one-dimensional elementary probabilistic cellular automata (PCA) whose dynamics in first-order mean-field approximation yields discrete logisticlike growth models fo…
Empirical scaling of the length of the longest increasing subsequences of random walks
J. Ricardo G. Mendonça
We provide Monte Carlo estimates of the scaling of the length of the longest increasing subsequences of -steps random walks for several different distributions of step l…
The inactive-active phase transition in the noisy additive (exclusive-or) probabilistic cellular automaton
J. Ricardo G. Mendonça
We investigate the inactive-active phase transition in an array of additive (exclusive-or) cellular automata under noise. The model is closely related with the Domany-Kinzel probab…
Exact eigenspectrum of the symmetric simple exclusion process on the complete, complete bipartite, and related graphs
J. Ricardo G. Mendonça
We show that the infinitesimal generator of the symmetric simple exclusion process, recast as a quantum spin-1/2 ferromagnetic Heisenberg model, can be solved by elementary techniq…
An extinction-survival-type phase transition in the probabilistic cellular automaton p182-q200
J. Ricardo G. Mendonça, Mário J. de Oliveira
We investigate the critical behaviour of a probabilistic mixture of cellular automata (CA) rules 182 and 200 (in Wolfram's enumeration scheme) by mean-field analysis and Monte Carl…
Type-dependent irreversible stochastic spin models for genetic regulatory networks at the level of promotion-inhibition circuitry
J. Ricardo G. Mendonça, Mário J. de Oliveira
We describe an approach to model genetic regulatory networks at the level of promotion-inhibition circuitry through a class of stochastic spin models that includes spatial and temp…
A Monte Carlo investigation of the critical behavior of Stavskaya's probabilistic cellular automaton
J. Ricardo G. Mendonça
Stavskaya's model is a one-dimensional probabilistic cellular automaton (PCA) introduced in the end of the 1960's as an example of a model displaying a nonequilibrium phase transit…