EIGENVALUES OF LAPLACIANS ON HIGHER DIMENSIONAL VICSEK SET GRAPHS

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Cites Work

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Spectral analysis on infinite Sierpiński fractafolds
Spectral decimation on Hambly's homogeneous hierarchical gaskets
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Harmonic oscillators on infinite Sierpinski gaskets
Szegö limit theorems on the Sierpiński gasket
Brownian motion on the Sierpinski gasket
Spectral analysis on infinite Sierpiński gaskets
How many diffusions exist on the Vicsek snowflake?
Corrigendum to ``Harmonic analysis as spectral theory of Laplacians
The homogenization problem for Vicsek set
Pure point spectrum of the Laplacians on fractal graphs
On eigenvalue problems for Laplacians on p.c.f. self-similar sets
Spectral analysis of Laplacians on the Vicsek set
Criteria for spectral gaps of Laplacians on fractals
Laplacians on fractals with spectral gaps have nicer Fourier series
Disconnected Julia sets and gaps in the spectrum of Laplacians on symmetric finitely ramified fractals
Singularly continuous spectrum of a self-similar Laplacian on the half-line
Gradients of Laplacian eigenfunctions on the Sierpinski gasket
VIBRATION SPECTRA OF FINITELY RAMIFIED, SYMMETRIC FRACTALS
Harmonic Calculus on P.C.F. Self-Similar Sets
A harmonic calculus on the Sierpinski spaces
Brownian motion on nested fractals
Fractals in the Large
Localized Eigenfunctions of the Laplacian on p.c.f. Self-Similar Sets
Fractafolds based on the Sierpinski gasket and their spectra
Partial differential equations on products of Sierpinski gaskets
Vibration modes of 3n-gaskets and other fractals
Self-similarity of volume measures for Laplacians on p. c. f. self-similar fractals

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