2 citations · 2 across the 3 of their papers we have counts for
4 papers
Kneading Theory for Iteration of Monotonous Functions on the Real Line
Ermerson Araujo, Alex Zamudio Espinosa
We construct a version of kneading theory for families of monotonous functions on the real line. The generality of the setup covers two classical results from Milnor-Thurston's kne…
Symbolic dynamics for nonuniformly hyperbolic maps with singularities in high dimension
Ermerson Araujo, Yuri Lima, Mauricio Poletti
We construct Markov partitions for non-invertible and/or singular nonuniformly hyperbolic systems defined on higher dimensional Riemannian manifolds. The generality of the setup co…
Topological conjugacy for unimodal nonautonomous discrete dynamical systems
Ermerson Araujo
The goal of this article is to study how combinatorial equivalence implies topological conjugacy. For that, we introduce the concept of kneading sequences for nonautonomous discret…
Kneading sequences for toy models of Hénon maps
Ermerson Araujo
The purpose of this article is to study the relation between combinatorial equivalence and topological conjugacy, specifically how a certain type of combinatorial equivalence impli…