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The quantum unique ergodicity conjecture for thin sets
Published 6 Jun 2013 in math.NT and math.SP | (1306.1554v1)
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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