Institute of Mathematics Conferences, Sixth International Conference on Analytic Number Theory and Spatial Tessellations

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On fractal faithfulness of Vitali coverings, DP-transformations and fractal properties of singular measures
Grygoriy Torbin

Building: Mykhailo Drahomanov National Pedagogical University
Room: Room A
Date: 2018-09-28 12:50 PM – 13:35
Last modified: 2018-09-23


The talk is devoted to new results in the theory of DP-transformations (transformations preserving the Hausdorff dimension); new results related to the problem of faithfulness resp. non-faithfulness of Vitali coverings generated by many famous expansions of real numbers; new approaches for the study of fractal properties of singularly continuous probability measures.

Special attention will be paid to the interrelations of the theory of DP-transformations and the problem of faithfulness of Vitali coverings.

Applications of obtained results in the Number Theory and in Probability Theory will also be discussed.