Spectral asymptotics of Kreĭn–Feller operators for weak Gibbs measures on self-conformal fractals with overlaps

We study the spectral dimensions and spectral asymptotics of Kreĭn–Feller operators for weak Gibbs measures on self-conformal fractals with or without overlaps. We show that, restricted to the unit interval, the Lq-spectrum for every weak Gibbs measure ϱ with respect to a C1-IFS exists as a limit....

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Bibliographic Details
Main Authors: Kesseböhmer, M. (Author), Niemann, A. (Author)
Format: Article
Language:English
Published: Academic Press Inc. 2022
Subjects:
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