Multifractal structure of Bernoulli convolutions

Thomas Jordan, Pablo Shmerkin, Boris Solomyak

Let ${\nu }_{\lambda }^p$ be the distribution of the random series ${\sum }_{n=1}^{\infty }{i}_n{\lambda }^n$, where $i_n$ is a sequence of i.i.d. random variables taking the values 0,1 with probabilities $p,1…