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Pregled bibliografske jedinice broj: 794474

Fractality and Lapidus zeta functions at infinity


Radunović, Goran
Fractality and Lapidus zeta functions at infinity // Mathematical communications, 21 (2016), 141-162 (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 794474 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Fractality and Lapidus zeta functions at infinity

Autori
Radunović, Goran

Izvornik
Mathematical communications (1331-0623) 21 (2016); 141-162

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
distance zeta function; relative fractal drum; box dimension; complex dimensions; Minkowski content; generalized Cantor set

Sažetak
We study fractality of unbounded sets of finite Lebesgue measure at infinity by introducing the notions of Minkowski dimension and content at infinity. We also introduce the Lapidus zeta function at infinity, study its properties and demonstrate its use in analysis of fractal properties of unbounded sets at infinity.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
HRZZ-IP-2014-09-2285 - Geometrijska, ergodička i topološk a analiza nisko-dimenzionalnih dinamičkih sustava (GETDYN) (Slijepčević, Siniša, HRZZ - 2014-09 )

Ustanove
Fakultet elektrotehnike i računarstva, Zagreb

Profili:

Avatar Url Goran Radunović (autor)

Citiraj ovu publikaciju

Radunović, Goran
Fractality and Lapidus zeta functions at infinity // Mathematical communications, 21 (2016), 141-162 (međunarodna recenzija, članak, znanstveni)
Radunović, G. (2016) Fractality and Lapidus zeta functions at infinity. Mathematical communications, 21, 141-162.
@article{article, author = {Radunovi\'{c}, G.}, year = {2016}, pages = {141-162}, keywords = {distance zeta function, relative fractal drum, box dimension, complex dimensions, Minkowski content, generalized Cantor set}, journal = {Mathematical communications}, volume = {21}, issn = {1331-0623}, title = {Fractality and Lapidus zeta functions at infinity}, keyword = {distance zeta function, relative fractal drum, box dimension, complex dimensions, Minkowski content, generalized Cantor set} }

Časopis indeksira:


  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


Uključenost u ostale bibliografske baze podataka:


  • MathSciNet





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