2 results
QUANTUM ERGODICITY FOR COMPACT QUOTIENTS OF
$\operatorname {SL}_d({\mathbb R})/\textrm {SO}(d)$ IN THE BENJAMINI–SCHRAMM LIMIT
- Part of
-
- Journal:
- Journal of the Institute of Mathematics of Jussieu / Volume 22 / Issue 5 / September 2023
- Published online by Cambridge University Press:
- 13 December 2021, pp. 2075-2115
- Print publication:
- September 2023
-
- Article
-
- You have access
- HTML
- Export citation
-
We study the limiting behavior of Maass forms on sequences of large-volume compact quotients of
$\operatorname {SL}_d({\mathbb R})/\textrm {SO}(d)$, 
$d\ge 3$, whose spectral parameter stays in a fixed window. We prove a form of quantum ergodicity in this level aspect which extends results of Le Masson and Sahlsten to the higher rank case.
Scarring for quantum maps with simple spectrum
- Part of
-
- Journal:
- Compositio Mathematica / Volume 147 / Issue 5 / September 2011
- Published online by Cambridge University Press:
- 18 March 2011, pp. 1608-1612
- Print publication:
- September 2011
-
- Article
-
- You have access
- Export citation
