30 citations · 30 across the 6 of their papers we have counts for
6 papers
Invariant density statistical quantifiers and a temperature for the logistic map
Ignacio Sebastián Gomez, Guilherme Vieira Brito Junior, Samuel Silva Santos +2
In this work, we study the dynamics of the logistic map based on a probabilistic characterization in terms of the invariant density. We analyze the relevant regimes of the dynamics…
Mixed dynamics from the classical and quantum ergodic hierarchy
Ignacio S. Gomez, Federico H. Holik
Based on the classical and quantum ergodic hierarchy, a framework for mixed systems with a phase space composed by two uncorrelated integrable and chaotic regions is presented. It…
Partition function for position-dependent mass systems from superestatistics
Ignacio S. Gomez, Matheus Gabriel Alves Santos, Daniela de Almeida dos Santos +1
In this work, we show a connection between superstatistics and position-dependent mass (PDM) systems in the context of the canonical ensemble. The key point is to set the fluctuati…
Random walks with homotopic spatial inhomogeneities
Ignacio S Gomez, Daniel Rocha de Jesus, Ronaldo Thibes
In this work we study a generalization of the standard random walk, an homotopic random walk (HRW), using a deformed translation unitary step that arises from a homotopy of the pos…
Symplectic Quantization and General Constraint Structure of a Prototypical Second-Class System
Ignacio S. Gomez, Vipul Kumar Pandey, Ronaldo Thibes
We discuss a general prototypical constrained Hamiltonian system with a broad application in quantum field theory and similar contexts where dynamics is defined through a functiona…
Fractional Fokker-Planck equation from non-singular kernel operators
M. A. F. dos Santos, Ignacio S. Gomez
Fractional diffusion equations imply non-Gaussian distributions that generalise the standard diffusive process. Recent advances in fractional calculus lead to a class of new fracti…