Nagoya Mathematical Journal

Glauber dynamics for fermion point processes

Tomoyuki Shirai and Hyun Jae Yoo

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We construct a Glauber dynamics on $\{ 0, 1 \}^{\mathcal{R}}$, $\mathcal{R}$ a discrete space, with infinite range flip rates, for which a fermion point process is reversible. We also discuss the ergodicity of the corresponding Markov process and the log-Sobolev inequality.

Article information

Nagoya Math. J. Volume 168 (2002), 139-166.

First available in Project Euclid: 27 April 2005

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 82C22: Interacting particle systems [See also 60K35]
Secondary: 60K35: Interacting random processes; statistical mechanics type models; percolation theory [See also 82B43, 82C43]


Shirai, Tomoyuki; Yoo, Hyun Jae. Glauber dynamics for fermion point processes. Nagoya Math. J. 168 (2002), 139--166.

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