95 citations · 508 across the 14 of their papers we have counts for
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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…
Anomalous diffusion, nonlinear fractional Fokker-Planck equation and solutions
E. K. Lenzi, L. C. Malacarne, R. S. Mendes +1
We obtain new exact classes of solutions for the nonlinear fractional Fokker-Planck-like equation partial_t rho = partial_x{D(x) partial^{mu -1}_x rho^{nu} - F(x) rho} by consideri…
N-dimensional nonlinear Fokker-Planck equation with time-dependent coefficients
L. C. Malacarne, R. S. Mendes, I. T. Pedron +1
An -dimensional nonlinear Fokker-Planck equation is investigated here by considering the time dependence of the coefficients, where drift-controlled and source terms are present…
Nonlinear anomalous diffusion equation and fractal dimension: Exact generalized gaussian solution
I. T. Pedron, R. S. Mendes, L. C. Malacarne +1
In this work we incorporate, in a unified way, two anomalous behaviors, the power law and stretched exponential ones, by considering the radial dependence of the -dimensional no…
q-Exponential Distribution in Urban Agglomeration
L. C. Malacarne, R. S. Mendes, E. K. Lenzi
Usually, the study of city population distribution has been reduced to power laws. In such analysis, a common practice is to consider cities with more than one hundred thousand inh…
Nonlinear equation for anomalous diffusion: unified power-law and stretched exponential exact solution
L. C. Malacarne, R. S. Mendes, I. T. Pedron +1
The nonlinear diffusion equation is analyzed here, where $\tildeΔ\equiv \frac{1}{r^{d-1}}\frac{\partial}{\partial r} r^{d-1-θ} \frac{\…
Path Integral Approach to the Nonextensive Canonical Density Matrix
E. K. Lenzi, L. C. Malacarne, R. S. Mendes
Feynman's path integral is herein generalized to the nonextensive canonical density matrix based on Tsallis entropy. This generalization is done in two ways by using unnormalized a…
Perturbation and Variational Methods in Nonextensive Tsallis Statistics
E. K. Lenzi, L. C. Malacarne, R. S. Mendes
A unified presentation of the perturbation and variational methods for the generalized statistical mechanics based on Tsallis entropy is given here. In the case of the variational…