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

• 成果类型: Article
• 署名作者: Shirai, T; Takahashi, Y
• 署名单位: Institute of Science Tokyo; Tokyo Institute of Technology; Kanazawa University; Kyoto University
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• 发表日期: 2003
• 页码: 1533-1564
• 关键词: gaussian fluctuation

摘要

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.