5 citations · 10 across the 12 of their papers we have counts for
9 papers · 1 filter
Spectral decomposition for topologically Anosov homeomorphisms on noncompact and non-metrizable spaces
Tarun Das, Keonhee Lee, David Richeson +1
We introduce topological definitions of expansivity, shadowing, and chain recurrence for homeomorphisms. They generalize the usual definitions for metric spaces. We prove various t…
Entropy for symbolic dynamics with overlapping alphabets
Fabio Drucker, David Richeson, Jim Wiseman
We consider shift spaces in which elements of the alphabet may overlap nontransitively. We define a notion of entropy for such spaces, give several techniques for computing lower b…
Symbolic dynamics for nonhyperbolic systems
David Richeson, Jim Wiseman
We introduce index systems, a tool for studying isolated invariant sets of dynamical systems that are not necessarily hyperbolic. The mapping of the index systems mimics the expans…
Itineraries of rigid rotations and diffeomorphisms of the circle
David Richeson, Paul Winkler, Jim Wiseman
We examine the itinerary of under the rotation by $α\in\R\bs\Q$. The motivating question is: if we are given only the itinerary of 0 relative to …
Chain recurrence rates and topological entropy
David Richeson, Jim Wiseman
We investigate the properties of chain recurrent, chain transitive, and chain mixing maps (generalizations of the well-known notions of non-wandering, topologically transitive, and…
Positively expansive homeomorphisms of compact spaces
David Richeson, Jim Wiseman
We give a new and elementary proof showing that a homeomorphism of a compact metric space is positively expansive if and only if the space is finite.