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math-ph2026
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…
math-ph2025
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…
math-ph2025
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…