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On the geometric structure of the limit set of conformal iterated function systems

On the geometric structure of the limit set of conformal iterated function systems

We consider infinite conformal function systems on R d .We study the geometric structure of the limit set of such systems.Suppose this limit set intersects some l-dimensional C 1 -submanifold with positive Hausdorff t-dimensional measure, where 0 < l < d and t is the Hausdorff dimension of the limit …