The zeta function of the Laplacian on certain fractals
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Publication:5429476
DOI10.1090/S0002-9947-07-04240-7zbMath1136.30002arXivmath/0508315MaRDI QIDQ5429476
Gregory Derfel, Fritz Vogl, Peter J. Grabner
Publication date: 30 November 2007
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0508315
Other Dirichlet series and zeta functions (11M41) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Dirichlet series, exponential series and other series in one complex variable (30B50)
Related Items (12)
Explicit formulas for heat kernels on diamond fractals ⋮ Spectral zeta functions of fractals and the complex dynamics of polynomials ⋮ Regularized Laplacian determinants of self-similar fractals ⋮ Correction to: ``Regularized Laplacian determinants of self-similar fractals ⋮ Spectral analysis on infinite Sierpiński fractafolds ⋮ Existence of a meromorphic extension of spectral zeta functions on fractals ⋮ Measurable operators and the asymptotics of heat kernels and zeta functions ⋮ Complex asymptotics of Poincaré functions and properties of Julia sets ⋮ The Sound of Fractal Strings and the Riemann Hypothesis ⋮ Poincaré Functional Equations, Harmonic Measures on Julia Sets, and Fractal Zeta Functions ⋮ Gaps in the spectrum of the Laplacian on \(3N\)-gaskets ⋮ An overview of complex fractal dimensions: from fractal strings to fractal drums, and back
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