Random Point Fields Associated with Fermion, Boson and Other Statistics

Shirai, Tomoyuki; Takahashi, Yoichiro

doi:10.2969/aspm/03910345

VOL. 39 | 2004 Random Point Fields Associated with Fermion, Boson and Other Statistics

Tomoyuki Shirai, Yoichiro Takahashi

Editor(s) Tadahisa Funaki, Hirofumi Osada

Adv. Stud. Pure Math., 2004: 345-354 (2004) DOI: 10.2969/aspm/03910345

Abstract

We show that the grand canonical ensembles of ideal gas under Fermi, Boson and other statistics give simple examples of the random point fields studied in the previous papers [13, 14, 15]. Also we present two classes of nonsymmetric integral operators for which such random point fields do exist.