HOMOTOPIES OF EIGENFUNCTIONS AND THE SPECTRUM OF THE LAPLACIAN ON THE SIERPINSKI CARPET

DOI10.1142/S0218348X10004750zbMath1194.28009arXiv0908.2942OpenAlexW2093447563MaRDI QIDQ3573156

Robert S. Strichartz, Steven Heilman

Publication date: 30 June 2010

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.2942

zbMATH Keywords

spectrumSierpinski carpetLaplacianeigenfunctionanalysis on fractals

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (2)

Hodge-de Rham Theory of K-Forms on Carpet Type Fractals ⋮ On a new fractional uncertainty relation and its implications in quantum mechanics and molecular physics

Cites Work

• Ergodic billiards that are not quantum unique ergodic (with an appendix by Andrew Hassell and Luc Hillairet)
• Sur une hypothèse de transversalité d'Arnold. (About a transversality hypothesis of Arnold)
• Persistence of eigenvalues and multiplicity in the Dirichlet problem for the Laplace operator on nonsmooth domains
• Outer Approximation of the Spectrum of a Fractal Laplacian
• On the number of bouncing ball modes in billiards
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: HOMOTOPIES OF EIGENFUNCTIONS AND THE SPECTRUM OF THE LAPLACIAN ON THE SIERPINSKI CARPET