Some dimensional results for a class of special homogeneous Moran sets.

Autor:	Hu, Xiaomei
Jazyk:	angličtina
Předmět:	matematika fraktály geometrie mathematics fractals geometry články journal articles Hausdorffova dimenze homogeneous Moran set {mk}-Moran set {mk}-quasi homogeneous Cantor set Hausdorff dimension
Druh dokumentu:	Non-fiction
ISSN:	0011-4642
Abstrakt:	Abstract: We construct a class of special homogeneous Moran sets, called {mk}-quasi homogeneous Cantor sets, and discuss their Hausdorff dimensions. By adjusting the value of {mk}k\geqslant 1, we constructively prove the intermediate value theorem for the homogeneous Moran set. Moreover, we obtain a sufficient condition for the Hausdorff dimension of ho- mogeneous Moran sets to assume the minimum value, which expands earlier works.
Databáze:	Katalog Knihovny AV ČR
Externí odkaz:	Online Access Full text from SpringerLink