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

研究成果: ジャーナルへの寄稿 › 学術誌 › 査読

9 被引用数 (Scopus)

抄録

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.

本文言語	英語
ページ（範囲）	139-166
ページ数	28
ジャーナル	Nagoya Mathematical Journal
巻	168
DOI	https://doi.org/10.1017/S0027763000008412
出版ステータス	出版済み - 12月 2002
外部発表	はい

!!!All Science Journal Classification (ASJC) codes

数学一般

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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",

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publisher = "Cambridge University Press",

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AU - Shirai, Tomoyuki

AU - Yoo, Hyun Jae

PY - 2002/12

Y1 - 2002/12

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/0037221083

UR - https://www.scopus.com/pages/publications/0037221083#tab=citedBy

U2 - 10.1017/S0027763000008412

DO - 10.1017/S0027763000008412

M3 - Article

AN - SCOPUS:0037221083

SN - 0027-7630

VL - 168

SP - 139

EP - 166

JO - Nagoya Mathematical Journal

JF - Nagoya Mathematical Journal

ER -

Glauber dynamics for fermion point processes

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!!!All Science Journal Classification (ASJC) codes

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