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Determinantal probability measures on Grassmannians

Abstract : 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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https://hal.archives-ouvertes.fr/hal-02333790
Contributor : Thierry Lévy <>
Submitted on : Tuesday, May 12, 2020 - 6:15:43 PM
Last modification on : Tuesday, May 19, 2020 - 6:21:06 PM

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  • HAL Id : hal-02333790, version 2

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Adrien Kassel, Thierry Levy. Determinantal probability measures on Grassmannians. 2020. ⟨hal-02333790v2⟩

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