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- W3100656306 abstract "We study properties of distributions of random variables with independent identically distributed symbols of generalized L{u}roth series (GLS) expansions (the family of GLS-expansions contains L{u}roth expansion and $Q_{infty}$- and $G_{infty}^2$-expansions). To this end, we explore fractal properties of the family of Cantor-like sets $C[mathit{GLS},V]$ consisting of real numbers whose GLS-expansions contain only symbols from some countable set $Vsubset Ncup{0}$, and derive exact formulae for the determination of the Hausdorff--Besicovitch dimension of $C[mathit{GLS},V]$. Based on these results, we get general formulae for the Hausdorff--Besicovitch dimension of the spectra of random variables with independent identically distributed GLS-symbols for the case where all but countably many points from the unit interval belong to the basis cylinders of GLS-expansions." @default.
- W3100656306 created "2020-11-23" @default.
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- W3100656306 date "2016-10-27" @default.
- W3100656306 modified "2023-09-25" @default.
- W3100656306 title "On spectra of probability measures generated by GLS-expansions" @default.
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- W3100656306 doi "https://doi.org/10.15559/16-vmsta61" @default.
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