79 citations · 194 across the 20 of their papers we have counts for
20 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…
A fermionic path integral for exact enumeration of polygons on the simple cubic lattice
G. M. Viswanathan
Enumerating polygons on regular lattices is a classic problem in rigorous statistical mechanics. The goal of enumerating polygons on the square lattice via fermionic path integrati…
Numerical studies for an ab initio investigation into the Boltzmann prescription in statistical mechanics of large systems
V. Dossetti, G. M. Viswanathan, V. M. Kenkre
We present numerical investigations into the question of the validity of the Boltzmann prescription in Statistical Mechanics for large systems, addressing the issue of whether exte…
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…
Correspondence between spanning trees and the Ising model on a square lattice
G. M. Viswanathan
An important problem in statistical physics concerns the fascinating connections between partition functions of lattice models studied in equilibrium statistical mechanics on the o…