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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive

SIGMA, 2022 Volume 18, 012, 12 pp. (Mi sigma1807)

A Quantum $0-\infty$ Law

Michel Bauerab

a Université Paris-Saclay, CNRS, CEA, Institut de Physique Théorique, 91191 Gif-sur-Yvette, France
b PSL Research University, CNRS, École normale supérieure, Département de mathématiques et applications, 75005 Paris, France

Abstract: We give conditions under which a sequence of randomly chosen orthogonal subspaces of a separable Hilbert space generates the whole space.

Keywords: random Hamiltonians, random geometry, Markov processes.

MSC: 60J05, 81-10

Received: October 27, 2021; in final form February 1, 2022; Published online February 10, 2022

Language: English

DOI: 10.3842/SIGMA.2022.012



Bibliographic databases:
ArXiv: 2110.07456


© Steklov Math. Inst. of RAS, 2024