49 citations · 210 across the 23 of their papers we have counts for
3 papers · 1 filter
Fractal dual substitution tilings
Natalie Priebe Frank, Samuel B. G. Webster, Michael F. Whittaker
Starting with a substitution tiling, we demonstrate a method for constructing infinitely many new substitution tilings. Each of these new tilings is derived from a graph iterated f…
Graph algebras and orbit equivalence
Nathan Brownlowe, Toke Meier Carlsen, Michael F. Whittaker
We introduce the notion of orbit equivalence of directed graphs, following Matsumoto's notion of continuous orbit equivalence for topological Markov shifts. We show that two graphs…
Functorial properties of Putnam's homology theory for Smale spaces
Robin J. Deeley, D. Brady Killough, Michael F. Whittaker
We investigate functorial properties of Putnam's homology theory for Smale spaces. Our analysis shows that the addition of a conjugacy condition is necessary to ensure functorialit…