The quantum unique ergodicity conjecture for thin sets

By M. Young. 2013

58 citations recorded by the source corpus.

Abstract We consider some analogs of the quantum unique ergodicity conjecture for geodesics and “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 ∞ inside the modular surface.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/70a1372dab247e8fa313fca84a5653c4b71ed7f4

Citations in the corpus

• Explicit calculations with Eisenstein series (2017, unknown): “nterested in the Mellin transform of E∗ χ1,χ2 (iy,s) and its functional equation. A motivation for this explicit calcluation comes from the evaluation of restriction norms of automorphic forms, as in [Y]. See [DFI, Section 8] for this calculation with cusp forms. The reader only interested in the ch”