28 citations · 60 across the 14 of their papers we have counts for
12 papers · 1 filter
Thermodynamic formalism for intermittent maps with multiple neutral fixed points and phase transitions
Daniel Coronel, Francisco Monardes
In this paper, we develop the thermodynamic formalism for intermittent full-branch interval maps with finitely many neutral fixed points and for a broad class of possibly discontin…
Phase diagram for intermittent maps
Daniel Coronel, Juan Rivera-Letelier
We explore the phase diagram for potentials in the space of Hölder continuous functions of a given exponent and for the dynamical system generated by a Pomeau--Manneville, or inter…
Phase transitions in temperature for intermittent maps
Daniel Coronel, Irene Inoquio-Renteria, Juan Rivera-Letelier
This article characterizes phase transitions in temperaturefor intermittent maps within a specific space of \textsc{Hölder} continuous potentials, distinguished by their regularity…
Model sets with Euclidean internal space
Mauricio Allendes Cerda, Daniel Coronel
We give an almost dynamical characterization of inter-model sets with Euclidean internal space. This characterization is similar to previous results for general inter-model sets ob…
Sensitive dependence of geometric Gibbs states at positive temperature
Daniel Coronel, Juan Rivera-Letelier
We give the first example of a smooth family of real and complex maps having sensitive dependence of geometric Gibbs states at positive temperature. This family consists of quadrat…
Robust sensitive dependence of geometric Gibbs states for analytic families of quadratic maps
Daniel Coronel, Juan Rivera-Letelier
For quadratic-like maps, we show a phenomenon of sensitive dependence of geometric Gibbs states: There are analytic families of quadratic-like maps for which an arbitrarily small p…