3 problems

The sine-process Gaussian multiplicative chaos convergence conjecture. The measure $\mu_{T,A,p}$ converges, as $T\to\infty$, in law in the space of Radon measures on $[0,1]$ endowe…

The sine-process maximum-growth conjecture at zero shift. The same asymptotic formula holds for $A=0$:

Let $X$ be a configuration sampled from the sine process, with law denoted by ${{\mathbb P}_{\mathscr S}}$, and let $p\in X$ be a particle. A set is hereditarily complete if every…