34 citations · 224 across the 28 of their papers we have counts for
7 papers · 1 filter
Majorization and dynamics of continuous distributions
Ignacio S. Gomez, Bruno G. da Costa, M. A. F. dos Santos
In this work we show how the concept of majorization in continuous distributions can be employed to characterize chaotic, diffusive and quantum dynamics. The key point lies in that…
Hermite-Gaussian model for quantum states
Marcelo Losada, Ignacio S. Gomez, Federico Holik
In order to characterize quantum states within the context of information geometry, we propose a generalization of the Gaussian model, which we called the Hermite-Gaussian model. W…
Fisher metric from relative entropy group
Ignacio S. Gomez, Ernesto P. Borges, M. Portesi
In this work we consider the Fisher metric which results from the Hessian of the relative entropy group, that we called Fisher metric group, and we obtain the corresponding ones to…
Deformed Fokker-Planck equation: inhomogeneous medium with a position-dependent mass
Bruno G. da Costa, Ignacio S. Gomez, Ernesto P. Borges
We present the Fokker-Planck equation (FPE) for an inhomogeneous medium with a position-dependent mass particle by making use of the Langevin equation, in the context of a generali…
A generalized Vitali set from nonextensive statistics
Ignacio S. Gomez
We address a generalization of the Vitali set through a deformed translational property that stems from a generalized algebra derived from the nonextensive statistics. The generali…
Bohmian mechanics and Fisher information for -deformed Schrödinger equation
Bruno G. da Costa, Ignacio S. Gomez
We discuss the Bohmian mechanics by means of the deformed Schrödinger equation for position dependent mass, in the context of a -algebra inspired by nonextensive statistics. A d…
On a dynamical approach to some prime number sequences
Lucas Lacasa, Bartolo Luque, Ignacio Gómez +1
In this paper we show how the cross-disciplinary transfer of techniques from Dynamical Systems Theory to Number Theory can be a fruitful avenue for research. We illustrate this ide…