Fractal properties of singular probability distributions with independent <mml:math altimg="si1.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mi>Q</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:math>-digits-Reference-Cited by-同舟云学术

Fractal properties of singular probability distributions with independent Q*-digits

Published:2005-04 Issue:4 Volume:129 Page:356-367
ISSN:0007-4497
Container-title:Bulletin des Sciences Mathématiques
language:en
Short-container-title:Bulletin des Sciences Mathématiques

Author:

Albeverio Sergio,Torbin Grygoriy

Publisher

Elsevier BV

Subject

General Mathematics

Reference11 articles.

1. S. Albeverio, V. Koshmanenko, M. Pratsiovytyi, G. Torbin, Q˜-representation of real numbers and fractal probability distributions. Infinite Dimensional Analysis, Quantum Probability and Related Topics (2003), submitted for publication

2. Fine structure of the singular continuous spectrum;Albeverio;Methods Funct. Anal. Topol.,2003

3. Fractal probability distributions and transformations preserving the Hausdorff–Besicovitch dimension;Albeverio;Ergodic Theory and Dynamical Systems,2004

4. Hausdorff dimension in probability theory II;Billingsley;Illinois J. Math.,1961

5. Certain induced measures and the fractional dimensions of their “supports”;Chatterji;Z. Wahr.,1964

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