Singularly continuous spectrum of a self-similar Laplacian on the half-line
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Publication:2814209
DOI10.1063/1.4949471zbMath1341.60066arXiv1509.08875OpenAlexW3102915567WikidataQ59461366 ScholiaQ59461366MaRDI QIDQ2814209
Alexander Teplyaev, Joe P. Chen
Publication date: 20 June 2016
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1509.08875
Sums of independent random variables; random walks (60G50) Random operators and equations (aspects of stochastic analysis) (60H25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Self-similar stochastic processes (60G18) Self-similar solutions to PDEs (35C06)
Related Items (9)
Spectral decimation of a self-similar version of almost Mathieu-type operators ⋮ Regularized Laplacian determinants of self-similar fractals ⋮ EIGENVALUES OF LAPLACIANS ON HIGHER DIMENSIONAL VICSEK SET GRAPHS ⋮ Gaps labeling theorem for the bubble-diamond self-similar graphs ⋮ Power dissipation in fractal AC circuits ⋮ Spectral decimation of piecewise centrosymmetric Jacobi operators on graphs ⋮ Spectral decimation of the magnetic Laplacian on the Sierpinski gasket: solving the Hofstadter-Sierpinski butterfly ⋮ Wave equation on one-dimensional fractals with spectral decimation and the complex dynamics of polynomials ⋮ Spectral analysis beyond \(\ell^2\) on Sierpinski lattices
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