Singularity and fine fractal properties of one class of generalized infinite Bernoulli convolutions with essential overlaps. II

• Date: 2015
• Main Authors: Lebid', M. V., Torbin, H. M., Лебідь, М. В., Торбін, Г. М.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2015
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2099
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We discuss the Lebesgue structure and fine fractal properties of infinite Bernoulli convolutions, i.e., the distributions of random variables $\xi=\sum_{k=1}^{\infty}\xi_ka_k$, where $\sum_{k=1}^{\infty}a_k$ is a convergent positive series and $\xi_k$ are independent (generally speaking, nonidentica...