Lebesgue structure of asymmetric Bernoulli convolution based on Jacobsthal–Lucas sequence-Reference-Cited by-同舟云学术

Lebesgue structure of asymmetric Bernoulli convolution based on Jacobsthal–Lucas sequence

Published:2020-06-01 Issue:2 Volume:28 Page:123-130
ISSN:1569-397X
Container-title:Random Operators and Stochastic Equations
language:
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Author:

Pratsiovytyi Mykola¹,Makarchuk Oleg²,Karvatsky Dmytro³

Affiliation:

1. Physics and Mathematics Department, National Pedagogical Dragomanov University, Pirogova Street 9, 01601Kyiv, Ukraine

2. Physics and Mathematics Department, Volodymyr Vynnychenko Central Ukrainian State Pedagogical University, Shevchenka Street 1, 25006Kropivnitskiy, Ukraine

3. Laboratory of Fractal Analysis, Institute of Mathematics NAS of Ukraine, Tereschenkivska Street 3, 01004Kyiv, Ukraine

Abstract

AbstractWe study the problem of deepening the Jessen–Wintner theorem for asymmetric Bernoulli convolutions. In particular, we investigate the Lebesgue structure of a random incomplete sum of series, whose terms are reciprocal to Jacobsthal–Lucas numbers.

Publisher

Walter de Gruyter GmbH

Subject

Statistics and Probability,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/rose-2020-2033/pdf

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