Spectral decimation on Hambly's homogeneous hierarchical gaskets

zbMath1211.28005MaRDI QIDQ610632

Shawn Drenning, Robert S. Strichartz

Publication date: 8 December 2010

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1286212923

zbMATH Keywords

finitely ramifiedhomogeneous hierarchical gasketspectral decimation: hierarchical fractalstandard Laplacian

Mathematics Subject Classification ID

Fractals (28A80) Generalizations of potential theory (31C99) Close-to-elliptic equations (35H99)

Related Items

CONVERGENCE OF DIRICHLET FORMS AND BESOV NORMS ON SCALE IRREGULAR SIERPIŃSKI GASKETS, Criteria for spectral gaps of Laplacians on fractals, EIGENVALUES OF LAPLACIANS ON HIGHER DIMENSIONAL VICSEK SET GRAPHS, Sampling theory with average values on the Sierpinski gasket, Spectral analysis on infinite Sierpiński fractafolds, Exact spectrum of the Laplacian on a domain in the Sierpinski gasket, Geometry and Laplacian on discrete magic carpets, Spectral asymptotics for \(V\)-variable Sierpinski gaskets, The ``hot spots conjecture on higher dimensional Sierpinski gaskets, Explicit spectral decimation for a class of self-similar fractals, A counterexample to the ``hot spots conjecture on nested fractals, Pseudo-differential operators on fractals and other metric measure spaces, The resolvent kernel for PCF self-similar fractals, Higher order Laplacians on p.c.f. fractals with three boundary points and dihedral symmetry, Gaps in the spectrum of the Laplacian on \(3N\)-gaskets, Estimates for sums and gaps of eigenvalues of Laplacians on measure spaces, Spectral decimation for a graph-directed fractal pair

Cites Work

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