Noam Pirani

collaborators

3 papers

math.NT2026

Closed geodesics in homology classes modulo sublattices

Noam Pirani

Let $M$ be a Weil-Petersson random hyperbolic surface of genus $g$ , and let $Γ \subset Z^{2 g}$ be a lattice of prime index $q$ . We study the distribution of primitive close…

math.PR2024

Moments of traces of random symplectic matrices and hyperelliptic $L$ -functions

Alexei Entin, Noam Pirani

We study matrix integrals of the form $\int_{USp (2n)} j = 1 \prod k tr (U^{j})^{a_{j}} d U,$ where $a_{1}, \dots, a_{r}$ are natural numbers and integration is with…

math.NT2024

Traces of powers of random matrices over local fields

Noam Pirani

Let $M$ be chosen uniformly at random w.r.t. the Haar measure on the unitary group $U_{n}$ , the unitary symplectic group $U S p_{2 n}$ or the orthogonal group $O_{n}$ . Diaconis and Shasha…

Closed geodesics in homology classes modulo sublattices

Moments of traces of random symplectic matrices and hyperelliptic L-functions

Traces of powers of random matrices over local fields

Moments of traces of random symplectic matrices and hyperelliptic $L$ -functions