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Subadditive pressure for ifs with triangular maps

Barany B.

Bulletin of the Polish Academy of Sciences. Mathematics

2009

Vol. 57, no 3-4

263-278

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)].