Lasse L. Wolf

activity

20242026

collaborators

5 papers

math.SP2026

Spectra of elliptic invariant differential operators on locally symmetric spaces

Lasse L. Wolf

For a locally symmetric space $Γ\ G / K$ we study the spectrum of the invariant differential operators of $G / K$ on $L^{2} (Γ\ G / K)$ . This gives a purely analytical pr…

math.RT2025

The limit cone and bounds on the growth indicator function

Lasse Lennart Wolf

Given a real semisimple Lie group $G$ with finite center and a discrete subgroup $I^ \subset G$ whose limit cone is disjoint from two facets of the Weyl chamber we show that Quint's…

math.RT2025

Polyhedral bounds on the joint spectrum and temperedness of locally symmetric spaces

Christopher Lutsko, Tobias Weich, Lasse L. Wolf

Given a real semisimple connected Lie group $G$ and a discrete subgroup $I^ < G$ we prove a precise connection between growth rates of the group $I^$ , polyhedral bounds on the joint…

math-ph2025

On the Lebesgue Component of Semiclassical Measures for Abelian Quantum Actions

Gabriel RiviÃ¨re, Gabriel Rivière, Lasse L. Wolf

For a large class of symplectic integer matrices, the action on the torus extends to a symplectic $Z^{r}$ -action with $r \geq 2$ . We apply this to the study of semiclassical…

math.SP2024

$L^{2}$ -spectrum, growth indicator function and critical exponent on locally symmetric spaces

Lasse L. Wolf, Hong-Wei Zhang

In this short note we observe, on locally symmetric spaces of higher rank, a connection between the growth indicator function introduced by Quint and the modified critical exponent…