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arXiv · 1910.06312

Determinantal probability measures on Grassmannians

Adrien Kassel·Thierry Lévy
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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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BibTeXRIS

Adrien Kassel, Thierry Lévy. 2019-10-14. Determinantal probability measures on Grassmannians. https://doi.org/10.4171/aihpd/152

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