Konstantin Igudesman

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ABSTRACT We consider a transformation of a normalized measure space such that the image of any point is a finite set. We call such transformationm-transformation. In this case the orbit of any point looks like a tree. In the study of mtransformations we are interested in the properties of the trees. An m-transformation generates a stochastic kernel and a(More)
This paper deals with the problem of fitting a three-dimensional ellipsoid to a noisy data point set in the context of three-axis magnitometer calibration. It describes methods of ellipsoidal fitting, based on various concepts of ellipsoid representation, error function definition and data simulation. The efficiency of the new approaches is demonstrated(More)
an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract We introduce new method of calculation of box dimension of fractal functions' graphs, which are based on fractal interpolation functions.(More)
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