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• W1983834917 abstract "We consider natural Laplace operators on random recursive affine nested fractals based on the Sierpinski gasket and prove an analogue of Weyl’s classical result on their eigenvalue asymptotics. The eigenvalue counting function N(λ) is shown to be of order λ ds/2 as λ→∞ where we can explicitly compute the spectral dimension d s . Moreover the limit N(λ) λ −ds/2 will typically exist and can be expressed as a deterministic constant multiplied by a random variable. This random variable is a power of the limiting random variable in a suitable general branching process and has an interpretation as the volume of the fractal." @default.
• W1983834917 created "2016-06-24" @default.
• W1983834917 creator A5065589370 @default.
• W1983834917 date "2000-06-01" @default.
• W1983834917 modified "2023-09-23" @default.
• W1983834917 title "On the asymptotics of the eigenvalue counting function for random recursive Sierpinski gaskets" @default.
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• W1983834917 doi "https://doi.org/10.1007/s004400050005" @default.
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