On the asymptotics of the eigenvalue counting function for random recursive Sierpinski gaskets

DOI10.1007/s004400000051zbMath0954.35121MaRDI QIDQ1579437

Benjamin M. Hambly

Publication date: 5 February 2001

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

zbMATH Keywords

branching processspectral dimensionrandom recursive affine nested fractalsvolume of the fratal

Mathematics Subject Classification ID

Dirichlet forms (31C25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Fractals (28A80) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (14)

Fluctuation of the transition density for Brownian motion on random recursive Sierpiński gaskets. ⋮ Spectral asymptotics of one-dimensional fractal Laplacians in the absence of second-order identities ⋮ Weyl asymptotics for Hanoi attractors ⋮ Weyl's asymptotic formula for fractal Laplacians defined by a class of self-similar measures with overlaps ⋮ Heat Kernel Fluctuations for Stochastic Processes on Fractals and Random Media ⋮ Spectral asymptotics for \(V\)-variable Sierpinski gaskets ⋮ Central limit theorems for the spectra of classes of random fractals ⋮ Some Remarks on the Hausdorff and Spectral Dimension of V-Variable Nested Fractals ⋮ Self-similarity and spectral asymptotics for the continuum random tree ⋮ Diffusion on the scaling limit of the critical percolation cluster in the diamond hierarchical lattice ⋮ The Sound of Fractal Strings and the Riemann Hypothesis ⋮ Spectral asymptotics for Krein-Feller operators with respect to \(\mathrm{V} \)-variable Cantor measures ⋮ An overview of complex fractal dimensions: from fractal strings to fractal drums, and back ⋮ Green functions on self-similar graphs and bounds for the spectrum of the Laplacian

This page was built for publication: On the asymptotics of the eigenvalue counting function for random recursive Sierpinski gaskets