تقرير
Homogeneity of arithmetic quantum limits for hyperbolic $4$-manifolds
| العنوان: | Homogeneity of arithmetic quantum limits for hyperbolic $4$-manifolds |
|---|---|
| المؤلفون: | Shem-Tov, Zvi, Silberman, Lior |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematics - Number Theory, Mathematical Physics, Mathematics - Dynamical Systems, 11F41, 37A45 |
| الوصف: | We work toward the arithmetic quantum unique ergodicity (AQUE) conjecture for sequences of Hecke--Maass forms on hyperbolic $4$-manifolds. We show that limits of such forms can only scar on totally geodesic $3$-submanifolds, and in fact that all ergodic components of the microlocal lift other than the uniform measure arise from the uniform measures on these submanifolds. Comment: 22 pages; minor revision including additional reference |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2402.18218 |
| رقم الأكسشن: | edsarx.2402.18218 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |