Any orthonormal basis in high dimension is uniformly distributed over the sphere

DOI10.1214/15-AIHP732zbMath1386.60085arXiv1406.2576WikidataQ62036685 ScholiaQ62036685MaRDI QIDQ2357266

Roderich Tumulka, Joel L. Lebowitz, Sheldon Goldstein, Nino Zanghì

Publication date: 13 June 2017

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.2576

zbMATH Keywords

law of large numbersrandom orthonormal basisasymoptotics in high dimensionHaar measure on the orthogonal or unitary groupsirreducible representations of the orthogonal or unitary groups

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15) Quantum equilibrium statistical mechanics (general) (82B10) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10)

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