3 citations · 6 across the 4 of their papers we have counts for
5 papers · 1 filter
Varieties of Mixing
Ethan Akin, Jim Wisman
We consider extensions of the notion of topological transitivity for a dynamical system . In addition to chain transitivity, we define strong chain transitivity and vague tr…
Chain Recurrence For General Spaces
Ethan Akin, Jim Wiseman
The chain relation, due to Conley, and the strong chain relation, due to Easton, are well studied for continuous maps on compact metric spaces. Following Fathi and Pageault, we use…
Dynamics of Discontinuous Maps Via Closed Relations
Ethan Akin
For the dynamics of a discontinuous map on a compact metric space, we describe an approach using suitable closed relations and connect it with the continuous dynamics on an invaria…
Sufficient conditions under which a transitive system is chaotic
E. Akin, E. Glasner, W. Huang +2
Let (X,T) be a topologically transitive dynamical system. We show that if there is a subsystem (Y,T) of (X,T) such that (X\times Y, T\times T) is transitive, then (X,T) is strongly…
Generically there is but one self homeomorphism of the Cantor set
Ethan Akin, Eli Glasner, Benjamin Weiss
We describe a self-homeomorphism of the Cantor set and then show that its conjugacy class in the Polish group of all homeomorphisms of forms a dense subset…