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math.DS2020★ 3 cited
Uniformly Positive Entropy of Induced Transformations
Nilson C. Bernardes, Udayan B. Darji, Rômulo M. Vermersch
Let be a topological dynamical system consisting of a compact metric space and a continuous surjective map . By using local entropy theory, we prove that $…
math.DS2020★ 21 cited
A generalized Grobman-Hartman theorem
Nilson C. Bernardes, Ali Messaoudi
We prove that any generalized hyperbolic operator on any Banach space is structurally stable. As a consequence, we obtain a generalization of the classical Grobman-Hartman theorem.