4 problems

Let $M\in{\mathbb Z}_+$ be fixed, and let $\tilde{\underline{k}}=({\underline{k}},-1^p)$, where $p\leq M$ and ${\underline{k}}$ is a positive partition of $4g-4+p$. Let…

Abelian-stratum mod-Poisson conjecture. For every $x>0$, uniformly for $k\in\{0,1,\ldots,\lfloor x\log(g)\rfloor\}$,

Let $\mathcal{C}$ be a non-hyperelliptic connected component of a stratum of holomorphic quadratic differentials, and let $p_{\mathcal{C}}(k)$ be the probability that a random quad…

Abelian mod-Poisson conjecture. For every $x>0$, uniformly for $k\in\{0,1,\ldots,\lfloor x\log(g)\rfloor\}$, as $g\to\infty$,