28 citations · 146 across the 36 of their papers we have counts for
30 papers · 1 filter
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…
Rigidité, expansion et entropie en dynamique non-archimédienne (Rigidity, expansion and entropy in non-Archimedean dynamics)
Charles Favre, Juan Rivera-Letelier
We prove a rigidity property in non-Archimedean dynamics, reminiscent of Zdunik theorem in complex dynamics: every rational map whose equilibrium measure charges an interval in the…
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…
Residue fixed point index and wildly ramified power series
Jonas Nordqvist, Juan Rivera-Letelier
In this paper, we study power series having a fixed point of multiplier 1. First, we give a closed formula for the residue fixed point index, in terms of the first coefficients of…
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…