6 papers · 1 filter
Dynamics on fences
Jernej ÄinÄ, Udayan B. Darji, Benjamin Vejnar
Homeomorphisms of the Cantor set play a central role in topology, dynamical systems and descriptive set theory. In parallel, several classes of fence-like spaces - such as the hair…
Dynamics of composition operators induced by odometers
Udayan B. Darji, Daniel Gomes, Régis Varão
We study the linear dynamics of composition operators induced by measurable transformations on finite measure spaces, with particular emphasis on operators induced by odometers. Ou…
Shadowing in the hyperspace of continua
Bernardo Carvalho, Udayan Darji
We discuss whether classical examples of dynamical systems satisfying the shadowing property also satisfy the shadowing property for the induced map on the hyperspace of continua,…
Dynamical pair assignments
Udayan B. Darji, Felipe GarcÃa-Ramos
Relations between points in the phase space are central to the study of topological dynamical systems. Since many of these relations share common properties, it is natural to study…
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…
Shift operators and their classification
Maria Carvalho, Udayan B. Darji, Paulo Varandas
We introduce a class of linear bounded invertible operators on Banach spaces, called shift operators, which comprises weighted backward shifts and models finite products of weighte…