LARGE DEVIATIONS FOR RANDOM PERTURBATIONS OF DISCRETE-TIME DYNAMICAL-SYSTEMS

被引：0

作者：

PIERRELOTIVIAUD, D ^{[1
]}

PORTAL, F ^{[1
]}

机构：

[1] UNIV PARIS 11,F-91405 ORSAY,FRANCE

来源：

BULLETIN DES SCIENCES MATHEMATIQUES | 1993年 / 117卷 / 03期

关键词：

LARGE DEVIATIONS; DISCRETE TIME DYNAMICAL SYSTEMS; MARKOV CHAINS; SIZE-DEPENDENT GALTON-WATSON PROCESSES; EXIT TIMES FROM A DOMAIN;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give here a sufficient condition under which a family of random perturbations of a discrete time dynamical system follows a large deviation principle. We apply this condition to Markov chains and to size-dependent Galton-Watson processes. Following FREIDLIN and WENTZELL [4] we study exit times from a domain for a family of size-dependent Galton-Watson processes.

引用

页码：333 / 355

页数：23

共 12 条

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[2] [Anonymous], 1984, RANDOM PERTURBATIONS
[3] Athreya K., 1972, BRANCHING PROCESSES, DOI DOI 10.1007/978-3-642-65371-1
[4] AN EXTENSION OF SKOROHOD ALMOST SURE REPRESENTATION THEOREM
BLACKWELL, D
DUBINS, LE
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[5] EWENS WJ, 1979, MATH POPULATION GENE
[6] ASYMPTOTIC GROWTH OF CONTROLLED GALTON-WATSON PROCESSES
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[J]. ANNALS OF PROBABILITY, 1985, 13 (04) : 1157 - 1178
[7] LARGE DEVIATION RESULTS FOR A CLASS OF MARKOV-CHAINS ARISING FROM POPULATION-GENETICS
MORROW, GJ
SAWYER, S
[J]. ANNALS OF PROBABILITY, 1989, 17 (03) : 1124 - 1146
[8] PIERRELOTIVIAUD D, 1990, THESIS U PARIS 11 OR
[9] PIERRELOTIVIAUD D, 1991, ANN I H POINCARE-PR, V27, P141
[10] Prokhorov YV., 1956, THEOR PROBAB APPL+, V1, P157, DOI [10.1137/1101016, DOI 10.1137/1101016]

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