Polyhedral Neighborhoods vs Tubular Neighborhoods: New Insights for the Fractal Zeta Functions and Complex Dimensions - Laboratoire Jacques-Louis Lions
Preprints, Working Papers, ... Year : 2023

Polyhedral Neighborhoods vs Tubular Neighborhoods: New Insights for the Fractal Zeta Functions and Complex Dimensions

Abstract

Weierstrass fractal drum (IFD), fractal zeta functions, Complex Dimensions of an IFD, box-counting (or Minkowski) dimension, cohomology infinitesimal, polyhedral measure, polyhedral neighborhood, effective local and global polyhedral zeta functions.

Domains

Analysis of PDEs [math.AP]
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Claire David  : Connect in order to contact the contributor

https://hal.science/hal-04153049

Submitted on : Saturday, August 31, 2024-2:06:28 PM

Last modification on : Wednesday, October 2, 2024-10:05:53 PM

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Dates and versions

hal-04153049 , version 1 (06-07-2023)
hal-04153049 , version 2 (20-11-2023)
hal-04153049 , version 3 (22-11-2023)
hal-04153049 , version 4 (27-06-2024)
hal-04153049 , version 5 (31-08-2024)

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  • HAL Id : hal-04153049 , version 5

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Claire David, Michel L Lapidus. Polyhedral Neighborhoods vs Tubular Neighborhoods: New Insights for the Fractal Zeta Functions and Complex Dimensions. 2024. ⟨hal-04153049v5⟩

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