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pro vyhledávání: '"Mendonça, J. Ricardo G."'
Autor:
Mendonça, J. Ricardo G.
Publikováno v:
Physics Letters A 384 (2020) 126753
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 only recently. Here we investigate the behavior of the length of the LI
Externí odkaz:
http://arxiv.org/abs/2006.00366
Publikováno v:
Phys. Rev. E 101, 032102 (2020)
We numerically estimate the leading asymptotic behavior of the length $L_{n}$ of the longest increasing subsequence of random walks with step increments following Student's $t$-distribution with parameter in the range $1/2 \leq \nu \leq 5$. We find t
Externí odkaz:
http://arxiv.org/abs/1907.00486
Autor:
Mendonça, J. Ricardo G.
Publikováno v:
Physics Letters A 383 (19), 2264-2266 (2019)
The two-state Gacs-Kurdyumov-Levin (GKL) cellular automaton has been a staple model in the study of complex systems due to its ability to classify binary arrays of symbols according to their initial density. We show that a class of modified GKL model
Externí odkaz:
http://arxiv.org/abs/1904.07411
Autor:
Mendonça, J. Ricardo G.
Publikováno v:
American Journal of Physics 87 (6), 476-484 (2019)
We revisit the solution due to Sommerfeld of a problem in classical electrodynamics, namely, that of the propagation of an electromagnetic axially symmetric surface wave (a low-attenuation single TM$_{01}$ mode) in a cylindrical metallic wire, and hi
Externí odkaz:
http://arxiv.org/abs/1812.07456
Autor:
Mendonça, J. Ricardo G.
Exclusion processes became paradigmatic models of nonequilibrium interacting particle systems of wide range applicability both across the natural and the applied, social and technological sciences. Usually they are defined as a continuous-time stocha
Externí odkaz:
http://arxiv.org/abs/1806.09227
Autor:
Mendonça, J. Ricardo G.
Publikováno v:
J. Phys. A.: Math. Theor. 51 (14), 145601 (2018)
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 unstructured population with nonoverlapping generations in which individu
Externí odkaz:
http://arxiv.org/abs/1710.11305
Publikováno v:
Physical Review E 98 (1), 012135 (2018)
Almost four decades ago, Gacs, Kurdyumov, and Levin introduced three different cellular automata to investigate whether one-dimensional nonequilibrium interacting particle systems are capable of displaying phase transitions and, as a by-product, intr
Externí odkaz:
http://arxiv.org/abs/1703.09038
Publikováno v:
Phys. Rev. E 95, 052131 (2017)
We investigate one-dimensional elementary probabilistic cellular automata (PCA) whose dynamics in first-order mean-field approximation yields discrete logisticlike growth models for a single-species unstructured population with nonoverlapping generat
Externí odkaz:
http://arxiv.org/abs/1703.06007
Autor:
Mendonça, J. Ricardo G.
Publikováno v:
J. Phys. A: Math. Theor. 50 (8) 08LT02 (2017)
We provide Monte Carlo estimates of the scaling of the length $L_{n}$ of the longest increasing subsequences of $n$-steps random walks for several different distributions of step lengths, short and heavy-tailed. Our simulations indicate that, barring
Externí odkaz:
http://arxiv.org/abs/1610.02709
Autor:
Mendonça, J. Ricardo G.
Publikováno v:
Int. J. Mod. Phys. C 27 (2), 1650016 (2016) [15pp]
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 probabilistic cellular automaton, for which there are rigorous as well as nu
Externí odkaz:
http://arxiv.org/abs/1506.08132