Pregled bibliografske jedinice broj: 811332
Fractal tube formulas and a Minkowski measurability criterion for compact subsets of Euclidean spaces
Fractal tube formulas and a Minkowski measurability criterion for compact subsets of Euclidean spaces // Discrete and Continuous Dynamical Systems-Series S, 12 (2019), 1; 105-117 doi:10.3934/dcdss.2019007 (međunarodna recenzija, članak, znanstveni)
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Naslov
Fractal tube formulas and a Minkowski measurability criterion for compact subsets of Euclidean spaces
Autori
Lapidus, Michel L. ; Radunović, Goran ; Žubrinić, Darko
Izvornik
Discrete and Continuous Dynamical Systems-Series S (1937-1632) 12
(2019), 1;
105-117
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
distance zeta function ; Minkowski dimension ; Minkowski measurability ; complex dimensions
Sažetak
We establish pointwise and distributional fractal tube formulas for a large class of compact subsets of Euclidean spaces of arbitrary dimensions. These formulas are expressed as sums of residues of suitable meromorphic functions over the complex dimensions of the compact set under consideration (i.e., over the poles of its fractal zeta function). Our results generalize to higher dimensions (and in a significant way) the corresponding ones previously obtained for fractal strings by the first author and van Frankenhuijsen. They are illustrated by several examples and applied to yield a new Minkowski measurability criterion.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2014-09-2285 - Geometrijska, ergodička i topološka analiza nisko-dimenzionalnih dinamičkih sustava (GETDYN) (Slijepčević, Siniša, HRZZ - 2014-09) ( CroRIS)
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
