813 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Centro Brasileiro de Pesquisas FísicasBR57 papers
- Santa Fe InstituteUS33 papers
- Pontifícia Universidade Católica do Rio de JaneiroBR24 papers
- Universidade Federal FluminenseBR21 papers
- Universidade de São PauloBR20 papers
- Instituto de Física de São CarlosBR11 papers
- Universidade Federal de ViçosaBR11 papers
- Universidade Federal do Rio Grande do SulBR11 papers
- Consejo Nacional de Investigaciones Científicas y TécnicasAR8 papers
- Conselho Nacional de Desenvolvimento Científico e TecnológicoBR8 papers
- Universidade Estadual de MaringáBR8 papers
- Complexity Science HubAT7 papers
17 papers · 1 filter
Generalized Lyapunov exponents of the random harmonic oscillator: cumulant expansion approach
Raul Vallejos, Celia Anteneodo
The cumulant expansion is used to estimate generalized Lyapunov exponents of the random-frequency harmonic oscillator. Three stochastic processes are considered: Gaussian white noi…
Universality in Bibliometrics
Roberto da Silva, Fahad Kalil, Alexandre Souto Martinez +1
Many discussions have enlarged the literature in Bibliometrics since the Hirsh proposal, the so called -index. Ranking papers according to their citations, this index quantifies…
Effective carrying capacity and analytical solution of a particular case of the Richards-like two-species population dynamics model
Brenno Caetano Troca Cabella, Fabiano Ribeiro, Alexandre Souto Martinez
We consider a generalized two-species population dynamic model and analytically solve it for the amensalism and commensalism ecological interactions. These two-species models can b…
Intermingled basins in coupled Lorenz systems
Sabrina Camargo, Ricardo L. Viana, Celia Anteneodo
We consider a system of two identical linearly coupled Lorenz oscillators, presenting synchro- nization of chaotic motion for a specified range of the coupling strength. We verify…
Solution on the Bethe lattice of a hard core athermal gas with two kinds of particles
T. J. Oliveira, J. F. Stilck
Athermal lattice gases of particles with first neighbor exclusion have been studied for a long time as simple models exhibiting a fluid-solid transition. At low concentration the p…
Entropy and equilibrium state of free market models
J. R. Iglesias, R. M. C. de Almeida
Many recent models of trade dynamics use the simple idea of wealth exchanges among economic agents in order to obtain a stable or equilibrium distribution of wealth among the agent…
q-Moments remove the degeneracy associated with the inversion of the q-Fourier transform
M. Jauregui, C. Tsallis, E. M. F. Curado
It was recently proven [Hilhorst, JSTAT, P10023 (2010)] that the q-generalization of the Fourier transform is not invertible in the full space of probability density functions for…
Generalizing Planck's distribution by using the Carati-Galgani model of molecular collisions
R. D. B. Carvalho, A. M. C. Souza
Classical systems of coupled harmonic oscillators are studied using the Carati-Galgani model. We investigate the consequences for Einstein's conjecture by considering that the exch…
A scale-invariant probabilistic model based on Leibniz-like pyramids
Antonio Rodríguez, Constantino Tsallis
We introduce a family of probabilistic {\it scale-invariant} Leibniz-like pyramids and -dimensional hyperpyramids (), characterized by a parameter , whose…
Time--Evolving Statistics of Chaotic Orbits of Conservative Maps in the Context of the Central Limit Theorem
G. Ruiz, T. Bountis, C. Tsallis
We study chaotic orbits of conservative low--dimensional maps and present numerical results showing that the probability density functions (pdfs) of the sum of iterates in the…
On a generalization of the binomial distribution and its Poisson-like limit
E. M. F. Curado, J. P. Gazeau, Ligia M. C. S. Rodrigues
We examine a generalization of the binomial distribution associated with a strictly increasing sequence of numbers and we prove its Poisson-like limit. Such generalizations might b…
On exact time-averages of a massive Poisson particle
Welles A. M. Morgado, Silvio M. Duarte Queiros, Diogo O. Soares-Pinto
In this work we study, under the Stratonovich definition, the problem of the damped oscillatory massive particle subject to a heterogeneous Poisson noise characterised by a rate of…
Restricted random walk model as a new testing ground for the applicability of q-statistics
Ugur Tirnakli, Henrik J. Jensen, Constantino Tsallis
We present exact results obtained from Master Equations for the probability function P(y,T) of sums of the positions x_t of a discrete random walker restricted…
Non-parametric segmentation of non-stationary time series
S. Camargo, S. Duarte Queirós, C. Anteneodo
The non-stationary evolution of observable quantities in complex systems can frequently be described as a juxtaposition of quasi-stationary spells. Given that standard theoretical…
Nonlinear Relativistic and Quantum Equations with a Common Type of Solution
Fernando D. Nobre, Marco Aurelio Rego-Monteiro, Constantino Tsallis
Generalizations of the three main equations of quantum physics, namely, the Schrödinger, Klein-Gordon, and Dirac equations, are proposed. Nonlinear terms, characterized by exponent…
Anomalous diffusion in a symbolic model
H. V. Ribeiro, E. K. Lenzi, R. S. Mendes +1
We address this work to investigate some statistical properties of symbolic sequences generated by a numerical procedure in which the symbols are repeated following a power law pro…
Some Open Points in Nonextensive Statistical Mechanics
Constantino Tsallis
We present and discuss a list of some interesting points that are currently open in nonextensive statistical mechanics. Their analytical, numerical, experimental or observational a…