5 papers
Statistical complexity from fluctuations in the information content
Renio S. Mendes, Sergio Picoli, Evaldo M. F. Curado
We argue that the variance of the information content (), an information-theoretic quantity, can be naturally interpreted as a measure of statistical complexity. We show that $C…
Emergent heavy-tailed distributions from a Markovian random walk
Henrique S. Lima, Evaldo M. F. Curado
The emergence of heavy-tailed statistics in complex systems is conventionally attributed to non-local stochastic jumps or non-Markovian memory. Here, we present a one-dimensional r…
Relativistic Lévy processes
Lucas G. B. de Souza, M. G. E. da Luz, E. P. Raposo +2
We study sums of independent and identically distributed random velocities in special relativity. We show that the resulting one-dimensional velocity distributions are not only sta…
Composing -Gauss and logistic maps: Gradual and sudden transitions to chaos
Marcelo A. Pires, Constantino Tsallis, Evaldo M. F. Curado
We introduce the -Gauss-Logistic map, a new nonlinear dynamics constructed by composing the logistic and -Gauss maps. Explicitly, our model is given by $x_{t+1} = f_L(x_t)x…
Multi-parametric Nonlinear Generalization of Klein-Gordon: Real and Complex Fields
M. A. Rego-Monteiro, E. M. F. Curado
We construct a nonlinear multiparametric Klein-Gordon for complex and real fields with mass dimension depending on a real parameter as where is the mass di…