activity
20052022
most citedThe problem of distinguishing between a center and a focus for nilpotent and degenerate analytic systems

102 citations · 287 across the 18 of their papers we have counts for

collaborators

20 papers

math.DS2022

Time-reversibility and integrability of p:-q resonant vector fields

Jaume Gine, Valery G. Romanovski, Joan Torregrosa

We study local analytical integrability in a neighborhood of resonant singular point of a two-dimensional vector field and its connection to time-reversibility with respect…

gr-qc2022★ 25 cited

Generalized interacting Barrow Holographic Dark Energy: cosmological predictions and thermodynamic considerations

Giuseppe Gaetano Luciano, Jaume Giné

We construct a generalized interacting model of Barrow Holographic Dark Energy (BHDE) with infrared cutoff being given by the Hubble horizon. We analyze the cosmological evolution…

gr-qc2022★ 44 cited

Baryogenesis in non-extensive Tsallis Cosmology

Giuseppe Gaetano Luciano, Jaume Gine

Non-extensive Tsallis thermostatistics is a widespread paradigm to describe large-scale gravitational systems. In this work we use Tsallis Cosmology to study thermodynamic gravity…

gr-qc2021★ 17 cited

Gravitational effects on the Heisenberg Uncertainty Principle: a geometric approach

Jaume Giné, Giuseppe Gaetano Luciano

The Heisenberg Uncertainty Principle (HUP) limits the accuracy in the simultaneous measurements of the position and momentum variables of any quantum system. This is known to be tr…

math.DS2018

Analytic integrability around a nilpotent singularity

Antonio Algaba, Cristobal Garcia, Jaume Gine

In this work it is solved the analytic integrability problem around a nilpotent singularity of a differential system in the plane under generic conditions.

math.CA2017

A counterexample to the composition condition conjecture for polynomial Abel differential equations

Jaume Giné, Maite Grau, Xavier Santallusia

The Polynomial Abel differential equations are considered a model problem for the classical Poincaré center--focus problem for planar polynomial systems of ordinary differential eq…