The quantum unique ergodicity conjecture for thin sets
Number Theory
2016-01-26 v1 Spectral Theory
Abstract
We consider some analogs of the quantum unique ergodicity conjecture for geodesics, horocycles, or ``shrinking'' families of sets. In particular, we prove the analog of the QUE conjecture for Eisenstein series restricted to the infinite geodesic connecting 0 and infinity inside the modular surface.
Cite
@article{arxiv.1306.1554,
title = {The quantum unique ergodicity conjecture for thin sets},
author = {Matthew P. Young},
journal= {arXiv preprint arXiv:1306.1554},
year = {2016}
}
Comments
53 pages