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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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Detalhes bibliográficos
Publicado no:Lett Math Phys
Main Authors: Chen, Joe P., Teplyaev, Alexander, Tsougkas, Konstantinos
Formato: Artigo
Idioma:Inglês
Publicado em: Springer Netherlands 2017
Assuntos:
Acesso em linha: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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