4 papers
Statistical properties of Hecke correspondences
Sebastián Herrero, Ricardo Menares, Juan Rivera-Letelier
This paper studies the statistical properties of the dynamical system generated by a Hecke correspondence on the modular curve over and, for every prime number , ov…
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 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 inte…
Phase transitions in temperature for intermittent maps
Daniel Coronel, Juan Rivera-Letelier
This article characterizes phase transitions in temperature within a specific space of Hölder continuous potentials, distinguished by their regularity and asymptotic behavior at z…