28 citations · 146 across the 36 of their papers we have counts for
37 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…
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…
p-Adic distribution of CM points and Hecke orbits. II: Linnik equidistribution on the supersingular locus
Sebastián Herrero, Ricardo Menares, Juan Rivera-Letelier
For every prime number , this paper determines the asymptotic distribution of CM points on the moduli space of elliptic curves over . In stark contrast to the comp…
There are at most finitely many singular moduli that are S-units
Sebastián Herrero, Ricardo Menares, Juan Rivera-Letelier
We show that for every finite set of prime numbers S, there are at most finitely many singular moduli that are S-units. The key new ingredient is that for every prime number p, sin…