Probability distributions with independent Q-symbols and transformations preserving the Hausdorff dimension

• Date: 2007
• ISSN: 0321-3900
• Main Author: Torbin, G.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/4497
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Probability distributions with independent Q-symbols and transformations preserving the Hausdorff dimension/ G. Torbin // Theory of Stochastic Processes. — 2007. — Т. 13 (29), № 1-2. — С. 281-293. — Бібліогр.: 12 назв.— англ.

The paper is devoted to the study of connections between fractal properties of one-dimensional singularly continuous probability measures and the preservation of the Hausdorf dimension of any subset of the unit interval under the corresponding distribution function. Conditions for the distribution f...