Weak convergence of Dirichlet processes

被引：0
|
作者：
Sun, W [1 ]
机构：
[1] Acad Sinica, Inst Appl Math, Probabil Lab, Beijing 100080, Peoples R China
来源：
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY | 1998年 / 41卷 / 01期
关键词：
strictly quasi-regular Dirichlet form; weak convergence; Mosco convergence; s.{E-n}-nest;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Weak convergence of Markov processes is studied by means of Dirichlet forms and two theorems for weak convergence of Hunt processes on general metric spaces are established. As applications, examples for weak convergence of symmetric or non-symmetric Dirichlet processes on finite and infinite spaces are given.
引用
收藏
页码：8 / 21
页数：14
相关论文
共 50 条
  • [1] Weak convergence of Dirichlet processes
    Sun, Wei
    Science in China, Series A: Mathematics, Physics, Astronomy, 41 (01): : 8 - 21
  • [2] Weak convergence of Dirichlet processes
    孙玮
    Science China Mathematics, 1998, (01) : 8 - 21
  • [3] Weak convergence of Dirichlet processes
    Sun Wei
    Science in China Series A: Mathematics, 1998, 41 (1): : 8 - 21
  • [4] On the convergence of Dirichlet processes
    Coquet, F
    Slominski, L
    BERNOULLI, 1999, 5 (04) : 615 - 639
  • [5] WEAK CONVERGENCE OF REGULAR DIRICHLET SUBSPACES
    Li, Liping
    Uemura, Toshihiro
    Ying, Jiangang
    OSAKA JOURNAL OF MATHEMATICS, 2017, 54 (03) : 435 - 455
  • [6] WEAK CONVERGENCE OF SOME DIRICHLET SERIES
    丁夏畦
    罗佩珠
    Acta Mathematica Scientia, 2001, (04) : 433 - 439
  • [7] Weak convergence of some Dirichlet series
    Ding, XQ
    Luo, PZ
    ACTA MATHEMATICA SCIENTIA, 2001, 21 (04) : 433 - 439
  • [8] Weak Dirichlet processes with jumps
    Bandini, Elena
    Russo, Francesco
    STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2017, 127 (12) : 4139 - 4189
  • [9] NOTE ON CONVERGENCE OF DIRICHLET PROCESSES
    LYONS, TJ
    ZHANG, TS
    BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1993, 25 : 353 - 356
  • [10] Natural decomposition of processes and weak Dirichlet processes
    Coquet, Francois
    Jakubowski, Adam
    Memin, Jean
    Slominski, Leszek
    IN MEMORIAM PAUL-ANDRE MEYER: SEMINAIRE DE PROBABILITIES XXXIX, 2006, 1874 : 81 - 116
12345