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

dc.contributor.author	Torbin, G.
dc.date.accessioned	2009-11-19T10:27:51Z
dc.date.available	2009-11-19T10:27:51Z
dc.date.issued	2007
dc.identifier.citation	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.	en_US
dc.identifier.issn	0321-3900
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/4497
dc.description.abstract	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 function of a random variable with independent Q-digits to be a transformation preserving the Hausdorf dimension (DP-transformation) are studied in details. It is shown that for a large class of probability measures the distribution function is a DP-transformation if and only if the corresponding probability measure is of full Hausdorf dimension.	en_US
dc.language.iso	en	en_US
dc.publisher	Інститут математики НАН України	en_US
dc.title	Probability distributions with independent Q-symbols and transformations preserving the Hausdorff dimension	en_US
dc.type	Article	en_US
dc.status	published earlier	en_US