A noncommutative Sierpinski gasket

DOI10.1016/j.jfa.2022.109563OpenAlexW4287169374MaRDI QIDQ2672221

Jean-Luc Sauvageot, Fabio E. G. Cipriani, Daniele Guido, Tommaso Isola

Publication date: 8 June 2022

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.12233

zbMATH Keywords

Dirichlet formsself-similar fractalsnoncommutative geometry and spectral triples

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Fractals (28A80) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)

Cites Work

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• Discrete homotopies and the fundamental group
• Spectral triples for the Sierpinski gasket
• Dirac operators and spectral triples for some fractal sets built on curves
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• Gromov-Hausdorff distance for quantum metric spaces
• Dirichlet Forms on Noncommutative Spaces
• Self-similarity of volume measures for Laplacians on p. c. f. self-similar fractals

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