Central limit theorems for the spectra of classes of random fractals

We discuss the spectral asymptotics of some open subsets of the real line with random fractal boundary and of a random fractal, the continuum random tree. In the case of open subsets with random fractal boundary we establish the existence of the second order term in the asymptotics almost surely and...

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Hlavní autoři: Charmoy, P, Croydon, D, Hambly, B
Médium: Journal article
Vydáno: American Mathematical Society 2017