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Pré-Publication, Document De Travail Année : 2019

Determinantal probability measures on Grassmannians

Résumé

We introduce and study a class of determinantal probability measures generalising the class of discrete determinantal point processes. These measures live on the Grassmannian of a real, complex, or quaternionic inner product space that is split into pairwise orthogonal finite-dimensional subspaces. They are determined by a positive self-adjoint contraction of the inner product space, in a way that is equivariant under the action of the group of isometries that preserve the splitting.
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Dates et versions

hal-02333790 , version 1 (25-10-2019)
hal-02333790 , version 2 (12-05-2020)

Identifiants

  • HAL Id : hal-02333790 , version 1

Citer

Adrien Kassel, Thierry Thierry.Levy@upmc.Fr Lévy. Determinantal probability measures on Grassmannians. 2019. ⟨hal-02333790v1⟩

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