MARTINGALE APPROACH TO INFINITE SYSTEMS OF INTERACTING PROCESSES

被引:47
作者
HOLLEY, RA [1 ]
STROOCK, DW [1 ]
机构
[1] UNIV COLORADO,DEPT MATH,BOULDER,CO 80302
关键词
D O I
10.1214/aop/1176996130
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
引用
收藏
页码:195 / 228
页数:34
相关论文
共 21 条
[1]  
Dobrushin R L, 1971, PROBL PEREDACHI INF, V7, P70
[2]  
Felderhof B. U., 1971, Reports on Mathematical Physics, V1, P215, DOI 10.1016/S0034-4877(71)80006-X
[3]  
Feller W., 2008, INTRO PROBABILITY TH
[4]   TIME-DEPENDENT STATISTICS OF ISING MODEL [J].
GLAUBER, RJ .
JOURNAL OF MATHEMATICAL PHYSICS, 1963, 4 (02) :294-&
[5]   ERGODIC THEOREMS FOR GRAPH INTERACTIONS [J].
GRIFFEATH, D .
ADVANCES IN APPLIED PROBABILITY, 1975, 7 (01) :179-194
[6]   NEAREST-NEIGHBOR MARKOV INTERACTION PROCESSES ON MULTIDIMENSIONAL LATTICES [J].
HARRIS, TE .
ADVANCES IN MATHEMATICS, 1972, 9 (01) :66-&
[7]   ERGODIC PROPERTIES OF SEVERAL INTERACTING POISSON PARTICLES [J].
HELMS, LL .
ADVANCES IN MATHEMATICS, 1974, 12 (01) :32-57
[8]   CLASS OF INTERACTIONS IN AN INFINITE PARTICLE SYSTEM [J].
HOLLEY, R .
ADVANCES IN MATHEMATICS, 1970, 5 (02) :291-&
[9]   MARKOVIAN INTERACTION PROCESSES WITH FINITE-RANGE INTERACTIONS [J].
HOLLEY, R .
ANNALS OF MATHEMATICAL STATISTICS, 1972, 43 (06) :1961-1967
[10]  
HOLLEY R, 1974, ROCKY MOUNTAIN J MAT, V4, P479