Random point fields associated with certain Fredholm determinants II: Fermion shifts and their ergodic and Gibbs properties
Random point fields associated with certain Fredholm determinants II: Fermion shifts and their ergodic and Gibbs properties
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与某些 Fredholm 行列式 II 相关的随机点场：费米子位移及其遍历和吉布斯性质
DOI：
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
Yōichirō Takahashi
中科院分区：
文献类型：
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作者：
T. Shirai;Yōichirō Takahashi
通过行列式构造并研究了与非负定对称算子相关的可列离散空间上的位形空间上的一族概率测度。在一个温和的条件下，他们得到唯一的吉布斯措施。在格点情形下讨论了一些遍历性，包括熵的正性。
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.