Subadditive Pressure for IFS with Triangular Maps

Tom 57 / 2009

Balázs Bárány Bulletin Polish Acad. Sci. Math. 57 (2009), 263-278 MSC: Primary 37C45; Secondary 37C70. DOI: 10.4064/ba57-3-8


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)].


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

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