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math.DS2009
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…
math.DS2008
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 …
math.DS2008
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…