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Regularized Laplacian determinants of self-similar fractals

We study the spectral zeta functions of the Laplacian on fractal sets which are locally self-similar fractafolds, in the sense of Strichartz. These functions are known to meromorphically extend to the entire complex plane, and the locations of their poles, sometimes referred to as complex dimensions...

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Bibliografische gegevens
Gepubliceerd in:Lett Math Phys
Hoofdauteurs: Chen, Joe P., Teplyaev, Alexander, Tsougkas, Konstantinos
Formaat: Artigo
Taal:Inglês
Gepubliceerd in: Springer Netherlands 2017
Onderwerpen:
Online toegang:https://ncbi.nlm.nih.gov/pmc/articles/PMC5932140/
https://ncbi.nlm.nih.gov/pubmed/29755183
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1007/s11005-017-1027-y
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