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math.DS2004
Dynamics of infinite-multivalued transformations
Konstantin Igudesman
We consider a transformation of a normalized measure space such that the image of any point is a finite set. We call such transformation -transformation. In this case the orbit…
math.DS2001
Statistically self-similar fractal sets
Konstantin Igudesman
In the present paper we define statistically self-similar sets, and, using a modification of method described K.J.Falconer find a Hausdorff dimension of a statistically self-simila…