Spectral asymptotics for \(V\)-variable Sierpinski gaskets

DOI10.1214/16-AIHP787zbMath1387.35434arXiv1502.00711MaRDI QIDQ1700409

John E. Hutchinson, Uta Renata Freiberg, Benjamin M. Hambly

Publication date: 5 March 2018

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.00711

zbMATH Keywords

Laplace operatorspectral asymptoticsSierpinski gasketspectral dimensionheat kernel estimatesrandom fractalseigenvalue counting functionV-variable

Mathematics Subject Classification ID

Dirichlet forms (31C25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Diffusion processes (60J60) Fractals (28A80) Heat kernel (35K08)

Related Items (7)

CONVERGENCE OF DIRICHLET FORMS AND BESOV NORMS ON SCALE IRREGULAR SIERPIŃSKI GASKETS ⋮ Mixed labyrinth fractals ⋮ TRIANGULAR LABYRINTH FRACTALS ⋮ Some Remarks on the Hausdorff and Spectral Dimension of V-Variable Nested Fractals ⋮ Noncommutative Boundaries Arising in Dynamics and Representations of the Cuntz Relations ⋮ Spectral asymptotics for Krein-Feller operators with respect to \(\mathrm{V} \)-variable Cantor measures ⋮ Supermixed labyrinth fractals

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