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math.DS2008
Inverse pressure estimates and the independence of stable dimension for non-invertible maps
Eugen Mihailescu, Mariusz Urbanski
We use the inverse pressure concept to estimate the stable dimension for hyperbolic non-invertible maps which are conformal in the stable fibers. The non-invertible case is differe…
math.DS2008★ 1 cited
Multifractal analysis for conformal graph directed Markov systems
Mario Roy, Mariusz Urbanski
We derive the multifractal analysis of the conformal measure (or equivalently, the invariant measure) associated to a family of weights imposed upon a (multi-dimensional) graph dir…
math.DS1999
A new class of positive recurrent functions
Pawel Hanus, Mariusz Urbanski
Recently O. Sarig has introduced and explored the concept of positively recurrent functions. In this paper we construct a natural wide class of such functions and we showthat they…