3 citations · 3 across the 2 of their papers we have counts for
3 papers
math.OA2026
Intrinsic Hutchinson measures and KMS states for iterated function systems with large overlaps
Michael Mampusti, Alexander Mundey, Nicholas Seaton
We study iterated function systems with large overlaps via the Kajiwara-Watatani C*-algebra and its KMS states. Our main contributions are threefold. First, we introduce Markov par…
math.MG2019
An aperiodic monotile that forces nonperiodicity through dendrites
Michael Mampusti, Michael F. Whittaker
We introduce a new type of aperiodic hexagonal monotile; a prototile that admits infinitely many tilings of the plane, but any such tiling lacks any translational symmetry. Adding…
math.OA2015★ 3 cited
Fractal spectral triples on Kellendonk's -algebra of a substitution tiling
Michael Mampusti, Michael F. Whittaker
We introduce a new class of noncommutative spectral triples on Kellendonk's -algebra associated with a nonperiodic substitution tiling. These spectral triples are constructed…