A Limit Formula for a Class of Gibbs Measures with Long Range Pair Interactions

Processing math: 100%

ホーム

Journal of Mathematical Sciences
- Vol. 31 (2024)
  No.1-No.2
- Vol. 30 (2023)
  No.1-No.2-No.3
- Vol. 29 (2022)
  No.1-No.2-No.3
- Vol. 28 (2021)
  No.1-No.2-No.3-No.4
- Vol. 27 (2020)
  No.1
- Vol. 26 (2019)
  No.1-No.2-No.3
- Vol. 25 (2018)
  No.1-No.2
- Vol. 24 (2017)
  No.1-No.2-No.3
- Vol. 23 (2016)
  No.1-No.2-No.3-No.4
- Vol. 22 (2015)
  No.1-No.2-No.3-No.4
- Vol. 21 (2014)
  No.1-No.2
- Vol. 20 (2013)
  No.1-No.2-No.3-No.4
- Vol. 19 (2012)
  No.1-No.2-No.3-No.4
- Vol. 18 (2011)
  No.1-No.2-No.3-No.4
- Vol. 17 (2010)
  No.1-No.2-No.3-No.4
- Vol. 16 (2009)
  No.1-No.2-No.3-No.4
- Vol. 15 (2008)
  No.1-No.2-No.3-No.4
- Vol. 14 (2007)
  No.1-No.2-No.3-No.4
- Vol. 13 (2006)
  No.1-No.2-No.3-No.4
- Vol. 12 (2005)
  No.1-No.2-No.3-No.4
- Vol. 11 (2004)
  No.1-No.2-No.3-No.4
- Vol. 10 (2003)
  No.1-No.2-No.3-No.4
- Vol. 9 (2002)
  No.1-No.2-No.3-No.4
- Vol. 8 (2001)
  No.1-No.2-No.3-No.4
- Vol. 7 (2000)
  No.1-No.2-No.3-No.4
- Vol. 6 (1999)
  No.1-No.2-No.3-No.4
- Vol. 5 (1998)
  No.1-No.2-No.3-No.4
- Vol. 4 (1997)
  No.1-No.2-No.3
- Vol. 3 (1996)
  No.1-No.2-No.3
- Vol. 2 (1995)
  No.1-No.2-No.3
- Vol. 1 (1994)
  No.1-No.2-No.3

J. Math. Sci. Univ. Tokyo
Vol. 7 (2000), No. 3, Page 463--486.

Chiyonobu, Taizo
A Limit Formula for a Class of Gibbs Measures with Long Range Pair Interactions
[Full Article (PDF)] [MathSciNet Review (HTML)] [MathSciNet Review (PDF)]

Abstract:
Let

$X_i,\ i=1,2,\dots$ be real-valued {\sl i.i.d.} variables with a compactly supported density. Under certain assumptions on

$V,$ we give an asymptotic evaluation of

$E[\exp(-\half\sum_{i,j=1}^n V(X_i,X_j))]$ up to the factor

$(1+o(1)).$ As an application of this result, we prove a limit formula for a class of Gibbs measures with long range pair interactions.

Mathematics Subject Classification (1991): Primary 60F99; Secondary 60G15, 82B05

Mathematical Reviews Number: MR1792737

Received: 1999-12-10

このページのトップへ

〒153-8914　東京都目黒区駒場3-8-1　TEL:03-5465-7001（代表受付）　FAX：03-5465-7011（代表受付）