The quantum unique ergodicity conjecture for thin sets

2013/06/06 by Matthew P. Young · 1 citation
Mathematics · #math.NT #math.SP

paper · pdf · doi:10.1016/j.aim.2015.09.013

53 pages

arxiv created 2013/06/06 · arxiv updated 2016/01/26

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.

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