Partial isometries, duality, and determinantal point processes

@article{Katori2021PartialID,
  title={Partial isometries, duality, and determinantal point processes},
  author={Makoto Katori and Tomoyuki Shirai},
  journal={Random Matrices: Theory and Applications},
  year={2021}
}
  • M. KatoriT. Shirai
  • Published 12 March 2019
  • Mathematics
  • Random Matrices: Theory and Applications
A determinantal point process (DPP) is an ensemble of random nonnegative-integer-valued Radon measures [Formula: see text] on a space [Formula: see text] with measure [Formula: see text], whose correlation functions are all given by determinants specified by an integral kernel [Formula: see text] called the correlation kernel. We consider a pair of Hilbert spaces, [Formula: see text], which are assumed to be realized as [Formula: see text]-spaces, [Formula: see text], [Formula: see text], and… 

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