Quantum ergodicity and Benjamini-Schramm convergence of hyperbolic surfaces

DOI10.1215/00127094-2017-0027zbMath1384.37035arXiv1605.05720OpenAlexW2402888949MaRDI QIDQ681668

Tuomas Sahlsten, Etienne Le Masson

Publication date: 12 February 2018

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.05720

zbMATH Keywords

mixingeigenfunctions of the Laplacianergodic theoremquantum ergodicityquantum chaoshyperbolic dynamicsBenjamini-Schramm convergenceSelberg transform

Mathematics Subject Classification ID

Quantum chaos (81Q50) Dynamical systems with hyperbolic orbits and sets (37D05) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

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