Wave equation on one-dimensional fractals with spectral decimation and the complex dynamics of polynomials

DOI10.1007/s00041-016-9494-6zbMath1382.35148arXiv1505.05855OpenAlexW3099252257WikidataQ59461365 ScholiaQ59461365MaRDI QIDQ682863

Joe P. Chen, Alexander Teplyaev, Richard W. Martin, Grigory Bonik, Ulysses Andrews

Publication date: 5 February 2018

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.05855

zbMATH Keywords

infinite speed of propagationself-similar fractal structures

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Estimates of eigenvalues in context of PDEs (35P15) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Wave equation (35L05) Probabilistic potential theory (60J45) General harmonic expansions, frames (42C15) Fractals (28A80) Initial value problems for second-order hyperbolic equations (35L15) Hyperbolic equations on manifolds (58J45) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items

Spectral decimation of a self-similar version of almost Mathieu-type operators ⋮ Spectral decimation of piecewise centrosymmetric Jacobi operators on graphs ⋮ Singularly continuous spectrum of a self-similar Laplacian on the half-line ⋮ Wave propagation speed on fractals ⋮ Estimates for sums and gaps of eigenvalues of Laplacians on measure spaces ⋮ Spectral asymptotics of Laplacians associated with a class of higher-dimensional graph-directed self-similar measures ^* ⋮ HEAT EQUATIONS DEFINED BY SELF-SIMILAR MEASURES WITH OVERLAPS

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