7 papers · 1 filter
Pointwise dynamics under Orbital Convergence
Abdul Gaffar Khan, Pramod Kumar Das, Tarun Das
We obtain sufficient conditions under which the limit of a sequence of functions exhibits a particular dynamical behaviour at a point like expansivity, shadowing, mixing, sensitivi…
Topologically Stable Equicontinuous Non-Autonomous Systems
Abdul Gaffar Khan, Pramod Kumar Das, Tarun Das
We find sufficient conditions for commutative non-autonomous systems on certain metric spaces to be topologically stable. In particular, we prove that (i) Every mean equicontinuous…
Specification for Group Actions on Uniform Spaces
Abdul Gaffar Khan, Pramod Kumar Das, Tarun Das
We extend specification and periodic specification to finitely generated group actions on uniform spaces using a concept of specification point. We prove that certain group actions…
Various Non-autonomous Notions for Borel Measures
Pramod Das, Tarun Das
We introduce and investigate the notions of expansiveness, topological stability and persistence for Borel measures with respect to time varying bi-measurable maps on metric spaces…
Measure Expansivity and Specification for Pointwise Dynamics
Pramod Das, Abdul Gaffar Khan, Tarun Das
We introduce pointwise measure expansivity for bi-measurable maps. We show through examples that this notion is weaker than measure expansivity. In spite of this fact, we show that…
GH-stability and Spectral Decomposition for Group Actions
Abdul Gaffar Khan, Pramod Das, Tarun Das
We study expansivity and the shadowing property for finitely generated group actions on metric spaces. We consider the projecting and lifting problems for actions having these prop…