68 citations · 295 across the 20 of their papers we have counts for
22 papers
Hypercyclicity and Lipschitz-free operators
Christian Cobollo, Romuald Ernst, Quentin Menet +1
We study linearizations of dynamical systems and some of its topological properties. Special attention is paid to the case of Lipschitz-free operators, and they are shown to model…
Recurrence in collective dynamics: From the hyperspace to fuzzy dynamical systems
Illych Alvarez, Antoni López-Martínez, Alfred Peris
We study for a dynamical system some of the principal topological recurrence-kind properties with respect to the induced maps $\overline{f}:\mathcal{K}(X)\lo…
On disjoint dynamical properties and Lipschitz-free spaces
Ch. Cobollo, A. Peris
The notion of disjoint -transitivity for a Furstenberg family is introduced with the aim to generalize properties derived from disjoint hypercyclic opera…
Generalized Hyperbolicity, Stability and Expansivity for Operators on Locally Convex Spaces
Nilson C. Bernardes, Blas M. Caraballo, Udayan B. Darji +2
We introduce and study the notions of (generalized) hyperbolicity, topological stability and (uniform) topological expansivity for operators on locally convex spaces. We prove that…
On Shadowing and Chain Recurrence in Linear Dynamics
Nilson C. Bernardes, Alfredo Peris
In the present work we study the concepts of shadowing and chain recurrence in the setting of linear dynamics. We prove that shadowing and finite shadowing always coincide for oper…
Questions in linear recurrence: From the -problem to lineability
Sophie Grivaux, Antoni López-Martínez, Alfred Peris
We study, for a continuous linear operator on an F-space , when the direct sum operator is recurrent on . In particular: we establish, for recurrence,…