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Quantum ergodicity for Eisenstein functions

2015/12/21 by Yannick Guedes Bonthonneau, Yannick Bonthonneau, Steve Zelditch · 6 citations
Mathematics · #Analytic Number Theory Research #Curvature #Eisenstein series #Ergodicity #Geometry #Mathematical Dynamics and Fractals #Mathematics #Physics #Pure mathematics #Quantum #Quantum mechanics #Series (stratigraphy) #Statistics #advanced mathematical theories #math.AP #math.SP

paper · pdf · doi:10.1016/j.crma.2016.06.006

published in Comptes Rendus Mathématique 354(9), 907-911 (Elsevier BV)

arxiv created 2015/12/21 · openalex publication_date 2016/08/05 · arxiv updated 2016/12/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

A new proof is given of Quantum Ergodicity for Eisenstein Series for cusped hyperbolic surfaces. This result is also extended to higher dimensional examples, with variable curvature.

Citations