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

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The distributions of values of functions of the Cantor type related to Ostrogradsky and Sylvester series
Iryna Lysenko, Yanina Goncharenko, Mykola Pratsiovytyi

Last modified: 2018-09-22


We consider a continuous probabilty distribution function $f$ defined by the representation of numbers in the Ostrogradsky and Sylvester series as well as the random variable $X$ with a given distribution. Structural and differential properties of the random variable $Y = f(X)$ are examined. In the case of a singularity of distribution of $Y$, its fractal properties are studied.