3 problems

Let $G$ be the group acting on $\mathbb{R}^d$ in the self-similar setting, and let $\nu$ be the associated stationary measure of a finitely supported, contracting on average and ir…

Fix a permutation $p$ and write $\sigma(p,w)(e^{i\theta})=e^{i\Sigma(\theta)}$, where $\Sigma$ is the associated nondecreasing lift. Let…

Let $\nu_{\beta}$ be the Bernoulli convolution associated with $\beta$, and let $f_n$ denote the sequence of approximating functions introduced in the paper. Convergence conjecture…