5 problems

Fix $\kappa\in(0,4]$, let $n\geq 1$, and let $\alpha_1,\ldots,\alpha_n$ denote the parameters of the restriction measures. Define … The generalized intersection exponents are the e…

Antipodal maximizer conjecture. The supremum defining $\overline q_n$ is attained when $w_2=-w_1$.

The quantities $\varsigma(n_1,\ldots,n_p)$ are multiple-intersection exponents; in particular, $\varsigma(1,3,3)$ and $\varsigma(1,3)$ denote the exponents associated with the indi…

Let $p\in\mathbb{N}$ and let $n_1,\ldots,n_p\in\mathbb{N}$ satisfy $n_1\leq n_2\leq\cdots\leq n_p$. Define … with $k:=p$ if the set is empty. Multiple-intersection exponent truncat…

Burdzy–Werner conjecture. There are no times $t$ such that $W_t$ is a triple point on the boundary of the set $\{W_s\colon s\in[0,t]\}$. This conjecture concerns the non-existence…