Abstract
Abstract We consider conformal iterated function systems (CIFS) that are induced by an infinite rooted tree T T , which we call T T -conformal iterated function systems ( T T -CIFS). We focus on the parameterized families of T T -CIFS that satisfy the trasversality condition and give a dimension formula for the exiting measure for a.e. parameter. We also give a sufficient condition that the exiting measure is absolutely continuous for a.e. parameter.
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