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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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Shranjeno v:
Bibliografske podrobnosti
izdano v:Lett Math Phys
Main Authors: Chen, Joe P., Teplyaev, Alexander, Tsougkas, Konstantinos
Format: Artigo
Jezik:Inglês
Izdano: Springer Netherlands 2017
Teme:
Online dostop: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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