Polyhedral Neighborhoods vs Tubular Neighborhoods: New Insights for the Fractal Zeta Functions and Complex Dimensions
Résumé
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.
Mots clés
Weierstrass Curve
iterated fractal drum (IFD)
fractal zeta functions
box-counting (or Minkowski) dimension
cohomology infinitesimal
intrinsic scale
Hodge Diamond Star relation
polyhedral measure
tubular neighborhoods
polyhedral (or polygonal) neighborhoods
effective local and global polyhedral zeta functions.
Complex Dimensions of an IFD
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