Abstract
I study random fractals which are obtained by means of random iterated function systems and more general random geometric constructions and estimate their Hausdorff dimensions. Random iterated function systems considered here generalize both random transformations and the well known deterministic iterated function systems. The paper is sequel to [Ki2] and it extends also some of the results from [PW] to the random situation employing the thermodynamic formalism for random subshifts of finite type.
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