3 problems

Let $P_X$ be the probability measure associated with the random self-similar series $X$ in the paper, and recall that a finite measure is Rajchman if its Fourier transform tends to…

Let $\beta=1$ and let $4mu4$ denote the distribution of the random Dirichlet series considered in the paper. In the critical case $s=1$, its density is in $L^q$ for every…

Let $\{\xi_n\}$ be a sequence of general i.i.d. random variables, and let $\{a_n\}$ and $\{b_n\}$ be sequences satisfying suitable conditions. Conjecture. After suitable scaling, t…