Separation properties for self-conformal sets

• Autorzy: Yuan-Ling Ye
• Języki publikacji: EN

Abstrakty

EN

For a one-to-one self-conformal contractive system ${w_{j}}_{j=1}^{m}$ on $ℝ^{d}$ with attractor K and conformality dimension α, Peres et al. showed that the open set condition and strong open set condition are both equivalent to $0 < ℋ^{α}(K) < ∞$. We give a simple proof of this result as well as discuss some further properties related to the separation condition.

Kategorie tematyczne

• 28A78: Hausdorff and packing measures
• 54H15: Transformation groups and semigroups
• 54E40: Special maps on metric spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2002
• Tom: 152
• Numer: 1
• Strony: 33-44

Daty

wydano

2002

Twórcy

autor

Yuan-Ling Ye

• Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong
• Department of Mathematics, South China Normal University, Guangzhou 510631, P.R. China

Identyfikatory

DOI

10.4064/sm152-1-3