Determinantal point processes and fermionic Fock space
Neretin, Yurii A.
arXiv, 0505041 / Harvested from arXiv
Text on arXiv
We construct a canonical embedding of the space $L^2$ 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.
Publié le : 2005-05-16
Classification:  Mathematical Physics,  Mathematics - Probability,  60G55, 22E65 
@article{0505041,
     author = {Neretin, Yurii A.},
     title = {Determinantal point processes and fermionic Fock space},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0505041}
}

Neretin, Yurii A. Determinantal point processes and fermionic Fock space. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0505041/