36 citations · 190 across the 12 of their papers we have counts for
12 papers
Lévy walkers inside spherical shells with absorbing boundaries: Towards settling the optimal Lévy walk strategy for random searches
L. G. P. Caramês, Y. B. Matos, F. Bartumeus +5
The Lévy flight foraging hypothesis states that organisms must have evolved adaptations to exploit Lévy walk search strategies. Indeed, it is widely accepted that inverse square Lé…
Spectrum of the tight-binding model on Cayley Trees and comparison with Bethe Lattices
M. Ostilli, Claudionor G. Bezerra, G. M. Viswanathan
There are few exactly solvable lattice models and even fewer solvable quantum lattice models. Here we address the problem of finding the spectrum of the tight-binding model (equiva…
The connection between Jackson and Hausdorff derivatives in the context of generalized statistical mechanics
Andre A. Marinho, G. M. Viswanathan, Francisco A. Brito +1
In literature one can find many generalizations of the usual Leibniz derivative, such as Jackson derivative, Tsallis derivative and Hausdorff derivative. In this article we present…
Tuning the Fano factor of graphene via Fermi velocity modulation
Jonas R. F. Lima, Anderson L. R. Barbosa, C. G. Bezerra +1
In this work we investigate the influence of a Fermi velocity modulation on the Fano factor of periodic and quasi-periodic graphene superlattices. We consider the continuum model a…
Light propagation in quasiperiodic dieletric multilayers separated by graphene
Carlos H. Costa, Luiz F. C. Pereira, Claudionor G. Bezerra
The study of photonic crystals, artificial materials whose dielectric properties can be tailored according to the stacking of its constituents, remains an attractive research area.…
Sublattice imbalance of substitutionally doped nitrogen in graphene
James A. Lawlor, Paul D. Gorman, Stephen R. Power +2
Motivated by the recently observed sublattice asymmetry of substitutional nitrogen impurities in CVD grown graphene, we show, in a mathematically transparent manner, that oscillati…