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math.DS2012
Novel method of fractal approximation
K. Igudesman, G. Shabernev
We introduce new method of optimization for finding free parameters of affine iterated function systems (IFS), which are used for fractal approximation. We provide the comparison o…
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…