Dirichlet forms and diffusion processes for fermion random point fields

被引：9

作者：

Yoo, HJ ^{[1
]}

机构：

[1] Yonsei Univ, Univ Coll, Seoul 120749, South Korea

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2005年 / 219卷 / 01期

关键词：

fermion random point fields; Gibbs measure; Dirichlet form; diffusion process;

D O I：

10.1016/j.jfa.2004.03.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct the Dirichlet forms and the associated diffusion processes on the configuration space of particles moving on the Euclidean space R-d for which certain fermion random point fields are invariant. (C) 2004 Published by Elsevier Inc.

引用

页码：143 / 160

页数：18

共 29 条

[1] Analysis and geometry on configuration spaces: The Gibbsian case [J].

Albeverio, S ;

Kondratiev, YG ;

Rockner, M .

JOURNAL OF FUNCTIONAL ANALYSIS, 1998, 157 (01) :242-291

[2] Analysis and geometry on configuration spaces [J].

Albeverio, S ;

Kondratiev, YG ;

Rockner, M .

JOURNAL OF FUNCTIONAL ANALYSIS, 1998, 154 (02) :444-500

[3]

[Anonymous], 2003, PUBLICATIONS MATHEMA, DOI DOI 10.1007/S10240-003-0016-0

[4] Asymptotics of Plancherel measures for symmetric groups [J].

Borodin, A ;

Okounkov, A ;

Olshanski, G .

JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 13 (03) :481-515

[5]

Borodin A, 1998, MATH RES LETT, V5, P799

[6] Dirichlet forms and Dirichlet operators for infinite particle systems: Essential self-adjointness [J].

Choi, V ;

Park, YM ;

Yoo, HJ .

JOURNAL OF MATHEMATICAL PHYSICS, 1998, 39 (12) :6509-6536

[7]

DALEY DJ, 1988, INTRO THEORY POISSON

[8]

FUKUSHIMA M, 1994, DIRICLE FORMS SYMMET

[9]

GEORGII HO, 2004, CONDITIONAL INTENSIT

[10] INFINITE-DIMENSIONAL WIENER PROCESSES WITH INTERACTION .2. REVERSIBLE MEASURES ARE CANONIC GIBBS MEASURES [J].

LANG, R .

ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1977, 39 (04) :277-299

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