43 citations · 52 across the 9 of their papers we have counts for
11 papers
Quantum ergodicity in the Benjamini--Schramm limit for locally symmetric spaces
Farrell Brumley, Simon Marshall, Jasmin Matz +1
We prove that for almost all symmetric spaces and for any sequence of compact locally symmetric spaces which is uniformly discrete, has a uniform spectral gap, and conver…
Quantum Ergodicity for compact quotients of in the Benjamini-Schramm limit
Farrell Brumley, Jasmin Matz
We study the limiting behavior of Maass forms on Benjamini-Schramm convergent sequences of compact quotients of , , whose spectral param…
Analytic torsion for arithmetic locally symmetric manifolds and approximation of -torsion
Jasmin Matz, Werner Mueller
In this paper we define a regularized version of the analytic torsion for quotients of a symmetric space of non-positive curvature by arithmetic lattices. The definition is based o…
On the asymptotics of Hecke operators for reductive groups
Tobias Finis, Jasmin Matz
In this paper, we study the asymptotic behavior of the traces of Hecke operators for spherical discrete automorphic representations of fixed level on general split reductive groups…
Approximation of -analytic torsion for arithmetic quotients of the symmetric space
Jasmin Matz, Werner Mueller
In [MzM] we defined a regularized analytic torsion for quotients of the symmetric space by arithmetic lattices. In this paper we study th…
Limit multiplicities for in
Jasmin Matz
We prove that the family of lattices , running over number fields with fixed archimedean signature , in ${\rm SL}_2(\mathbb{R}^{r_1}\oplu…
Analytic torsion of arithmetic quotients of the symmetric space SL(n,R)/SO(n)
Jasmin Matz, Werner Mueller
In this paper we define a regularized version of the analytic torsion for arithmetic quotients of the symmetric space SL(n,R)/\SO(n). The definition is based on the study of the re…
Sato-Tate equidistribution for families of Hecke-Maass forms on SL(n,R)/SO(n)
Jasmin Matz, Nicolas Templier
We establish the Sato-Tate equidistribution of Hecke eigenvalues on average for families of Hecke--Maass cusp forms on SL(n,R)/SO(n). For each of the principal, symmetric square an…
Weyl's law for Hecke operators on GL(n) over imaginary quadratic number fields
Jasmin Matz
We prove a mean value theorem for the traces of Hecke operators acting on cusp forms of GL(n) over imaginary quadratic number fields together with an upper bound for the error term…
Zeta Functions for the Adjoint Action of GL(n) and density of residues of Dedekind zeta functions
Jasmin Matz
We define zeta functions for the adjoint action of GL(n) on its Lie algebra and study their analytic properties. For n<4 we are able to fully analyse these functions, and recover t…
Bounds for global coefficients in the fine geometric expansion of Arthur's trace formula for GL(n)
Jasmin Matz
We give upper bounds for the absolute value of the global coefficients appearing in the fine geometric expansion of Arthur's trace formula for GL(n).