Sierpiński Fractals and the Dimension of Their Laplacian Spectrum

Sierpiński Fractals and the Dimension of Their Laplacian Spectrum

We establish rigorous estimates for the Hausdorff dimension of the spectra of Laplacians associated with Sierpiński lattices and infinite Sierpiński gaskets and other post-critically finite self-similar sets.

Bibliographic Details
Main Authors: Mark Pollicott, Julia Slipantschuk
Format: Article
Language:English
Published: MDPI AG 2023-05-01
Series:Mathematical and Computational Applications
Subjects:
Laplacian spectrum
Sierpiński Fractals
Hausdorff dimension
transfer operator
Lagrange-Chebyshev interpolation
Online Access:https://www.mdpi.com/2297-8747/28/3/70

Internet

https://www.mdpi.com/2297-8747/28/3/70

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