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arXiv · 1306.1554

The quantum unique ergodicity conjecture for thin sets

Matthew P. Young
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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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Matthew P. Young. 2013-06-06. The quantum unique ergodicity conjecture for thin sets. https://doi.org/10.1016/j.aim.2015.09.013

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