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math.DS2025
Entropy Flexibility of Dynamical Systems
Alexander Arbieto, Piotr Oprocha, Elias Rego
Inspired by Katok's intermediate entropy property [Inst. Hautes Études Sci. Publ. Math. 51 (1980), 137-173], we introduce and study the notion of entropy flexibility for discrete-t…
math.DS2025
Existence and Finiteness of equilibrium states for some Partially hyperbolic endomorphisms
Alexander Arbieto, Eric Cabezas
We establish the existence and finiteness of equilibrium states for a class of partially hyperbolic endomorphisms. In our first result, we assume that the central direction is simp…
math.FA2025
Dense Lineable Criterion for Linear Dynamics
Alexander Arbieto, Manuel Saavedra
We study Li-Yorke chaos for sequences of continuous linear operators from an \(F\)-space to a normed space. We introduce the \emph{D-phenomenon} to establish a common dense lineabl…