Subadditive Pressure for IFS with Triangular Maps
Volume 57 / 2009
Bulletin Polish Acad. Sci. Math. 57 (2009), 263-278
MSC: Primary 37C45; Secondary 37C70.
DOI: 10.4064/ba57-3-8
Abstract
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)].