Dirichlet forms: some infinite-dimensional examples

被引：5
作者：
Schmuland, B [1 ]
机构：
[1] Univ Alberta, Dept Math Sci, Edmonton, AB T6G 2G1, Canada
来源：
CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE | 1999年 / 27卷 / 04期
关键词：
Dirichlet forms; Markov processes; infinite-dimensional state space; Ornstein-Uhlenbeck process; Fleming-Viot process; configuration space;
D O I：
10.2307/3316125
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
The author presents three examples of a Markov process taking values in an infinite-dimensional state space and analyzes the sample path behaviour using the theory of Dirichlet forms.
引用
收藏
页码：683 / 700
页数：18
相关论文
共 42 条
[1]  
ALBEVERIO S, 1991, LECT NOTES MATH, V1485, P374
[2]   DIRICHLET FORMS AND DIFFUSION PROCESSES ON RIGGED HILBERT SPACES [J].
ALBEVERIO, S ;
HOEGHKROHN, R .
ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1977, 40 (01) :1-57
[3]   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
[4]  
ALBEVERIO S, 1977, ANN I H POINCARE B, V13, P269
[5]   CLASSICAL DIRICHLET FORMS ON TOPOLOGICAL VECTOR-SPACES - THE CONSTRUCTION OF THE ASSOCIATED DIFFUSION PROCESS [J].
ALBEVERIO, S ;
ROCKNER, M .
PROBABILITY THEORY AND RELATED FIELDS, 1989, 83 (03) :405-434
[6]   STOCHASTIC DIFFERENTIAL-EQUATIONS IN INFINITE DIMENSIONS - SOLUTIONS VIA DIRICHLET FORMS [J].
ALBEVERIO, S ;
ROCKNER, M .
PROBABILITY THEORY AND RELATED FIELDS, 1991, 89 (03) :347-386
[7]  
Albeverio S, 1996, CR ACAD SCI I-MATH, V323, P1129
[8]  
Albeverio S, 1996, CR ACAD SCI I-MATH, V323, P1179
[9]   Analysis and geometry on configuration spaces [J].
Albeverio, S ;
Kondratiev, YG ;
Rockner, M .
JOURNAL OF FUNCTIONAL ANALYSIS, 1998, 154 (02) :444-500
[10]  
[Anonymous], 1976, LECT NOTES MATH
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