On singularity of distribution of random variables with independent symbols of Oppenheim expansions

The paper is devoted to the restricted Oppenheim expansion of real numbers ($\mathit{ROE}$), which includes already known Engel, Sylvester and Lüroth expansions as partial cases. We find conditions under which for almost all (with respect to Lebesgue measure) real numbers from the unit interval thei...

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Bibliographic Details
Main Authors: Liliia Sydoruk, Grygoriy Torbin
Format: Article
Language:English
Published: VTeX 2017-10-01
Series:Modern Stochastics: Theory and Applications
Subjects:
Online Access:https://vmsta.vtex.vmt/doi/10.15559/17-VMSTA87