Subadditive Pressure for IFS with Triangular Maps

• Autorzy: Balázs Bárány
• Języki publikacji: EN

Abstrakty

EN

We investigate properties of the zero of the subadditive pressure which is a most important tool to estimate the Hausdorff dimension of the attractor of a non-conformal iterated function system (IFS). Our result is a generalization of the main results of Miao and Falconer [Fractals 15 (2007)] and Manning and Simon [Nonlinearity 20 (2007)].

Kategorie tematyczne

• 37C70: Attractors and repellers, topological structure
• 37C45: Dimension theory of dynamical systems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2009
• Tom: 57
• Numer: 3
• Strony: 263-278

Daty

wydano

2009

Twórcy

autor

Balázs Bárány

• Department of Stochastics, Institute of Mathematics, Budapest University of Technics and Economics, P.O. Box 91, 1521 Budapest, Hungary

Identyfikatory

DOI

10.4064/ba57-3-8