Torbin G. Fractal probability distributions and transformations preserving the Hausdorff-Besicovitch dimension

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0508U000657

Thesis Registration Form

0508U000657.pdf

Applicant for

Specialization

  • 01.01.05 - Теорія ймовірностей і математична статистика

02-12-2008

Specialized Academic Board

Д 26.206.02

The Institute of Mathematics of NASU

Essay

The thesis is devoted to the investigation of fractal properties of singularly continuous probability distributions and to applications of the results to the number theory, theory of dynamical systems, spectral theory of self-adjoint operators, fractal geometry. The general theory of the multilevel fractal analysis of singularly continuous probability measures and the theory of transformations preserving the Hausdorff-Besicovitch dimension are theoretical basis for these investigations.

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Files

AvtoreferatDoctorDissTorbin UKRINTEI.pdf

DoctorDissTorbin UkrINTEI.pdf

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