20 citations · 53 across the 12 of their papers we have counts for
14 papers
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…
Aperiodicity, rotational tiling spaces and topological space groups
John Hunton, James J. Walton
We study the rotational structures of aperiodic tilings in Euclidean space of arbitrary dimension using topological methods. Classical topological approaches to the study of aperio…
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…
Integral cohomology of rational projection method patterns
Franz Gaehler, John Hunton, Johannes Kellendonk
We study the cohomology and hence -theory of the aperiodic tilings formed by the so called 'cut and project' method, i.e., patterns in dimensional Euclidean space which aris…