Glauber dynamics for fermion point processes

Tomoyuki Shirai; Hyun Jae Yoo

doi:10.1017/S0027763000008412

Glauber dynamics for fermion point processes

Tomoyuki Shirai, Hyun Jae Yoo

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	139-166
Number of pages	28
Journal	Nagoya Mathematical Journal
Volume	168
DOIs	https://doi.org/10.1017/S0027763000008412
Publication status	Published - Dec 2002
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1017/S0027763000008412

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title = "Glauber dynamics for fermion point processes",

abstract = "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.",

author = "Tomoyuki Shirai and Yoo, {Hyun Jae}",

year = "2002",

month = dec,

doi = "10.1017/S0027763000008412",

language = "English",

volume = "168",

pages = "139--166",

journal = "Nagoya Mathematical Journal",

issn = "0027-7630",

publisher = "Nagoya University",

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AU - Shirai, Tomoyuki

AU - Yoo, Hyun Jae

PY - 2002/12

Y1 - 2002/12

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AB - 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.

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DO - 10.1017/S0027763000008412

M3 - Article

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VL - 168

SP - 139

EP - 166

JO - Nagoya Mathematical Journal

JF - Nagoya Mathematical Journal

ER -

Glauber dynamics for fermion point processes

Abstract

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