Quantum Limits of Eisenstein Series and Scattering states
arXiv:1111.6615 · doi:10.4153/CMB-2011-200-2
Abstract
We identify the quantum limits of scattering states for the modular surface. This is obtained through the study of quantum measures of non-holomorphic Eisenstein series away from the critical line. We provide a range of stability for the quantum unique ergodicity theorem of Luo and Sarnak.
12 pages, Corrects a typo and its ramification from previous version