4 problems

A random homogeneous self-similar set is obtained by choosing, independently at each iteration level, one family of contracting similarities and applying that family to every subse…

Exact Minkowski-content conjecture. Almost everywhere under $\mathbb{N}_0$ or almost surely under $\mathbb{P}_{\delta_0}$,

Let $\gamma$ be an SLE$_\kappa$ curve in the upper half-plane $\mathbb{H}$, with $kappa i(4,8)$, and let $gamma ibigcapmathbb{R}$ denote its intersection with the boundary. Alberts…

Lawler–Sheffield conjecture. The natural length of an $SLE$ path is given by its $d$-dimensional Minkowski content.