Eigenmodes of the Laplacian on some Laakso spaces

DOI10.1080/17476930903009584zbMath1185.34125arXiv0903.4661OpenAlexW2963361222MaRDI QIDQ5321892

Kevin Romeo, Benjamin A. Steinhurst

Publication date: 16 July 2009

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.4661

zbMATH Keywords

eigenvalueseigenfunctionsprojective limitLaplacianfractal

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Categorical methods in general topology (54B30)

Related Items (8)

SPECTRUM AND HEAT KERNEL ASYMPTOTICS ON GENERAL LAAKSO SPACES ⋮ Existence of a meromorphic extension of spectral zeta functions on fractals ⋮ Uniqueness of locally symmetric Brownian motion on Laakso spaces ⋮ Dirac and magnetic Schrödinger operators on fractals ⋮ Random Walks on Barycentric Subdivisions and the Strichartz Hexacarpet ⋮ Spectral analysis on Barlow and Evans' projective limit fractals ⋮ Marked length rigidity for one-dimensional spaces ⋮ Quantum mechanics on Laakso spaces

Uses Software

• ARPACK

Cites Work

• Spectral determinant on quantum graphs
• Ahlfors \(Q\)-regular spaces with arbitrary \(Q>1\) admitting weak Poincaré inequality
• Spectral operators on the Sierpinski gasket I
• Quantum graphs: II. Some spectral properties of quantum and combinatorial graphs

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