Quantum Limits of Eisenstein Series and Scattering states

Details Quantum Limits of Eisenstein Series and Scattering states Quantum Limits of Eisenstein Series and Scattering states

2011-11-28

arxiv.org/abs/1111.6615v1

Mathematics

Number Theory

10 pages

Scientific paper

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.

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