Random point fields associated with certain Fredholm determinants II: Fermion shifts and their ergodic and Gibbs properties

Tomoyuki Shirai, Yoichiro Takahashi

Research output: Contribution to journalArticle

44 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)1533-1564
Number of pages32
JournalAnnals of Probability
Volume31
Issue number3
DOIs
Publication statusPublished - Jul 1 2003
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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