Determinantal point processes and fermionic Fock space
Mathematical Physics
2012-11-27 v1 math.MP
Probability
Abstract
We construct a canonical embedding of the space over a determinantal point process to the fermionic Fock space. Equivalently, we show that a determinantal process is the spectral measure for some explicit commutative group of Gaussian operators in the fermionic Fock space.
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Cite
@article{arxiv.math-ph/0505041,
title = {Determinantal point processes and fermionic Fock space},
author = {Yurii A. Neretin},
journal= {arXiv preprint arXiv:math-ph/0505041},
year = {2012}
}
Comments
7pp