Michael Mampusti

activity

20152026

most citedFractal spectral triples on Kellendonk's

C^{*}

-algebra of a substitution tiling

3 citations · 3 across the 2 of their papers we have counts for

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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.OA2015★ 3 cited

Fractal spectral triples on Kellendonk's $C^{*}$ -algebra of a substitution tiling

Michael Mampusti, Michael F. Whittaker

We introduce a new class of noncommutative spectral triples on Kellendonk's $C^{*}$ -algebra associated with a nonperiodic substitution tiling. These spectral triples are constructed…

Intrinsic Hutchinson measures and KMS states for iterated function systems with large overlaps

Fractal spectral triples on Kellendonk's C∗-algebra of a substitution tiling

Fractal spectral triples on Kellendonk's $C^{*}$ -algebra of a substitution tiling