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July 2003 Random point fields associated with certain Fredholm determinants II: Fermion shifts and their ergodic and Gibbs properties
Tomoyuki Shirai, Yoichiro Takahashi
Ann. Probab. 31(3): 1533-1564 (July 2003). DOI: 10.1214/aop/1055425789

Abstract

We construct and study a family of probability measures on the configuration space over countable discrete space associated with nonnegative definite symmetric operators via determinants. Under a mild condition they turn out unique Gibbs measures. Also some ergodic properties, including the entropy positivity, are discussed in the lattice case.

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Tomoyuki Shirai. Yoichiro Takahashi. "Random point fields associated with certain Fredholm determinants II: Fermion shifts and their ergodic and Gibbs properties." Ann. Probab. 31 (3) 1533 - 1564, July 2003. https://doi.org/10.1214/aop/1055425789

Information

Published: July 2003
First available in Project Euclid: 12 June 2003

zbMATH: 1051.60053
MathSciNet: MR1989442
Digital Object Identifier: 10.1214/aop/1055425789

Subjects:
Primary: 60G55, 60G60
Secondary: 28D20, 82B05

Rights: Copyright © 2003 Institute of Mathematical Statistics

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Vol.31 • No. 3 • July 2003
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