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math.DS2020★ 2 cited
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…
math.DS2020
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…