Spectral decimation on Hambly's homogeneous hierarchical gaskets
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Publication:610632
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
finitely ramifiedhomogeneous hierarchical gasketspectral decimation: hierarchical fractalstandard Laplacian
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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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- Analysis of the Laplacian and spectral operators on the Vicsek set
- On eigenvalue problems for the random walks on the Sierpinski pre- gaskets
- On a spectral analysis for the Sierpiński gasket.
- Brownian motion on a homogeneous fractal
- Fractal differential equations on the Sierpiński gasket
- Brownian motion on a random recursive Sierpinski gasket
- On eigenvalue problems for Laplacians on p.c.f. self-similar sets
- Criteria for spectral gaps of Laplacians on fractals
- Laplacians on fractals with spectral gaps have nicer Fourier series
- Outer Approximation of the Spectrum of a Fractal Laplacian
- Fractal Drum, Inverse Spectral Problems for Elliptic Operators and a Partial Resolution of the Weyl-Berry Conjecture
- A harmonic calculus on the Sierpinski spaces
- Analysis on products of fractals
- GAPS IN THE RATIOS OF THE SPECTRA OF LAPLACIANS ON FRACTALS
- Partial differential equations on products of Sierpinski gaskets
- Vibration modes of 3n-gaskets and other fractals