20 citations · 53 across the 12 of their papers we have counts for
7 papers · 1 filter
Knotting Minimal Sets
Alex Clark, John Hunton
We consider the ways minimal sets of flows in may be embedded. We prove that given any flow on with positive entropy, there is an uncountable collection $\mathcal…
A Complete Invariant for Flow Equivalence
Alex Clark, John Hunton
Minimal flow spaces of dimension 1 are among the most fundamental limit sets in dynamical systems. These invariant sets occur as the typical minimal sets in surface flows, the mini…
Chaotic Delone sets
Jesús Antonio Álvarez López, Ramón Barral Lijó, John Hunton +2
We present a definition of chaotic Delone set, and establish the genericity of chaos in the space of -Delone sets for . We also present a hyperbolic analogue of the…
The homology core and invariant measures
Alex Clark, John Hunton
Here we shall consider the topology and dynamics associated to a wide class of matchbox manifolds, including a large selection of tiling spaces and all minimal matchbox manifolds o…
Tiling Spaces, Codimension One Attractors and Shape
Alex Clark, John Hunton
We show that any codimension one hyperbolic attractor of a diffeomorphism of a (d+1)-dimensional closed manifold is shape equivalent to a (d+1)-dimensional torus with a finite numb…
Cohomology of Substitution Tiling Spaces
Marcy Barge, Beverly Diamond, John Hunton +1
Anderson and Putnam showed that the cohomology of a substitution tiling space may be computed by collaring tiles to obtain a substitution which "forces its border." One can then re…