Advanced Studies in Pure Mathematics

Random Point Fields Associated with Fermion, Boson and Other Statistics

Tomoyuki Shirai and Yoichiro Takahashi

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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.

Article information

Source
Stochastic Analysis on Large Scale Interacting Systems, T. Funaki and H. Osada, eds. (Tokyo: Mathematical Society of Japan, 2004), 345-354

Dates
Received: 20 December 2002
Revised: 4 March 2003
First available in Project Euclid: 1 January 2019

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1546369044

Digital Object Identifier
doi:10.2969/aspm/03910345

Mathematical Reviews number (MathSciNet)
MR2073340

Zentralblatt MATH identifier
1095.60012

Citation

Shirai, Tomoyuki; Takahashi, Yoichiro. Random Point Fields Associated with Fermion, Boson and Other Statistics. Stochastic Analysis on Large Scale Interacting Systems, 345--354, Mathematical Society of Japan, Tokyo, Japan, 2004. doi:10.2969/aspm/03910345. https://projecteuclid.org/euclid.aspm/1546369044


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