66 citations · 175 across the 28 of their papers we have counts for
4 papers · 2 filters
Generalized Hyperbolicity and Shadowing in spaces
Emma D'Aniello, Udayan B. Darji, Martina Maiuriello
It is rather well-known that hyperbolic operators have the shadowing property. In the setting of finite dimensional Banach spaces, having the shadowing property is equivalent to be…
Chaos and frequent hypercyclicity for composition operators
Udayan B. Darji, Benito Pires
The notions of chaos and frequent hypercyclicity enjoy an intimate relationship in linear dynamics. Indeed, after a series of partial results, it was shown by Bayart and Rusza in 2…
Shadowing, Finite Order Shifts and Ultrametric Spaces
Udayan B. Darji, Daniel Gonçalves, Marcelo Sobottka
Inspired by a recent novel work of Good and Meddaugh, we establish fundamental connections between shadowing, finite order shifts, and ultrametric complete spaces. We develop a the…
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 $…