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Glauber dynamics for fermion point processes

Published online by Cambridge University Press:  22 January 2016

Tomoyuki Shirai  and
Hyun Jae Yoo
Tomoyuki Shirai
Affiliation:
Department of Mathematics, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo, 152-8551, Japan
Hyun Jae Yoo
Affiliation:
Department of Mathematics, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo, 152-8551, Japan
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Abstract

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We construct a Glauber dynamics on {0, 1}ℛ, 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.

Keywords

82C2260G55
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 168 , 2002 , pp. 139 - 166
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2002

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