A quantum 0-$\infty$ law

Michel Bauer (1)

1 IPHT - Institut de Physique Théorique - UMR CNRS 3681

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

Domains: Mathematics [math]

Michel Bauer. A quantum 0-$\infty$ law. Symmetry, Integrability and Geometry : Methods and Applications, 2022, 18, pp.012. ⟨10.3842/SIGMA.2022.012⟩. ⟨cea-03750086⟩