Conformal energy, conformal Laplacian, and energy measures on the Sierpinski gasket

DOI10.1090/S0002-9947-07-04363-2zbMath1169.28004OpenAlexW1988730862MaRDI QIDQ5437628

Michael A. Hall, Robert S. Strichartz, Jonas Azzam

Publication date: 21 January 2008

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-07-04363-2

zbMATH Keywords

conformal energyconformal Laplacianeffective resistances

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (11)

Weyl asymptotics for Hanoi attractors ⋮ Hodge-de Rham theory on fractal graphs and fractals ⋮ Mean value property of harmonic functions on the tetrahedral Sierpinski gasket ⋮ Non-degeneracy of the harmonic structure on Sierpiński gaskets ⋮ The Laplacian on p.c.f. self-similar sets via the method of averages ⋮ Energy measures on p.c.f. self-similar sets ⋮ Boundary value problems for a family of domains in the Sierpinski gasket ⋮ Geodesic interpolation on Sierpiński gaskets ⋮ A note on reflected Dirichlet forms ⋮ Approximation of partial differential equations on compact resistance spaces ⋮ The Kusuoka measure and the energy Laplacian on level-\(k\) Sierpiński gaskets

Cites Work

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• Asymptotics of eigenvalue clusters for Schrödinger operators on the Sierpiński gasket
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