Pointwise tube formulas for fractal sprays and self-similar tilings with arbitrary generators
type: Item
instance of: scholarly article
title: Pointwise tube formulas for fractal sprays and self-similar tilings with arbitrary generators
zbMATH Open document ID: 1274.28016
author: Michel L. Lapidus
author: Erin P. J. Pearse
author: Steffen Winter
published in: Advances in Mathematics
publication date: 2011-07-25T00:00:00Z
full work available at URL: https://arxiv.org/abs/1006.3807
Mathematics Subject Classification ID: 28A80
Mathematics Subject Classification ID: 11M41
Mathematics Subject Classification ID: 42A16
Mathematics Subject Classification ID: 51M25
Mathematics Subject Classification ID: 52C22
zbMATH DE Number: 5931661
zbMATH Keywords: complex dimensions
zbMATH Keywords: tube formula
zbMATH Keywords: Steiner formula
zbMATH Keywords: scaling and integer dimensions
zbMATH Keywords: zeta functions
zbMATH Keywords: scaling and tubular zeta functions
zbMATH Keywords: inradius
zbMATH Keywords: self-similar tiling
zbMATH Keywords: curvatures
zbMATH Keywords: generating function
zbMATH Keywords: fractal tube formula
zbMATH Keywords: fractal string
zbMATH Keywords: fractal spray
zbMATH Keywords: lattice and nonlattice
zbMATH Keywords: Minkowski measurability and content
zbMATH Keywords: fractal curvatures
MaRDI profile type: Publication
OpenAlex ID: W2964013224
arXiv ID: 1006.3807
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DOI: 10.1016/J.AIM.2011.03.004
description: scientific article