Laplace operators on fractals and related functional equations

DOI10.1088/1751-8113/45/46/463001zbMath1348.35288arXiv1206.1211OpenAlexW2143894105MaRDI QIDQ3145867

Gregory Derfel, Peter J. Grabner, Fritz Vogl

Publication date: 17 December 2012

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.1211

Mathematics Subject Classification ID

Dirichlet forms (31C25) Diffusion processes (60J60) Other Dirichlet series and zeta functions (11M41) Fractals (28A80) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (16)

Spectral decimation of a self-similar version of almost Mathieu-type operators ⋮ Regularized Laplacian determinants of self-similar fractals ⋮ Anisotropic fractal media by vector calculus in non-integer dimensional space ⋮ Flow of fractal fluid in pipes: non-integer dimensional space approach ⋮ Existence of a meromorphic extension of spectral zeta functions on fractals ⋮ Fractional space approach to studies of physical phenomena on fractals and in confined low-dimensional systems ⋮ Gaps labeling theorem for the bubble-diamond self-similar graphs ⋮ Hierarchical Schrödinger operators with singular potentials ⋮ Weak Formulation of the Laplacian on the Full Shift Space ⋮ Dirac and magnetic Schrödinger operators on fractals ⋮ Log-periodic asymptotic expansion of the spectral partition function for self-similar sets ⋮ Vector calculus in non-integer dimensional space and its applications to fractal media ⋮ Poincaré Functional Equations, Harmonic Measures on Julia Sets, and Fractal Zeta Functions ⋮ Singularly continuous spectrum of a self-similar Laplacian on the half-line ⋮ Gaps in the spectrum of the Laplacian on \(3N\)-gaskets ⋮ Hierarchical Schrödinger Type Operators: The Case of Locally Bounded Potentials

This page was built for publication: Laplace operators on fractals and related functional equations