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 50 条

[41] On Discrete-Time Polynomial Dynamical Systems on Hypergraphs
Cui, Shaoxuan
Zhang, Guofeng
Jardon-Kojakhmetov, Hildeberto
Cao, Ming
IEEE CONTROL SYSTEMS LETTERS, 2024, 8 : 1078 - 1083
[42] Control problems of discrete-time dynamical systems
Hasegawa, Yasumichi
Lecture Notes in Control and Information Sciences, 2013, 447
[43] On Ω-limit sets of discrete-time dynamical systems
Kempf, R
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2002, 8 (12) : 1121 - 1131
[44] Symplectic Property of Discrete-Time Dynamical Systems
Sogo, Kiyoshi
Uno, Toshiaki
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2011, 80 (12)
[45] Generations of solvable discrete-time dynamical systems
Bihun, Oksana
Calogero, Francesco
JOURNAL OF MATHEMATICAL PHYSICS, 2017, 58 (05)
[46] Dimensionality reduction in discrete-time dynamical systems
Tu, Chengyi
Wu, Yu
Luo, Jianhong
Jiang, Yi
Pan, Xuwei
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2023, 123
[47] DESIGN PROCEDURE FOR INTERMEDIATE-ORDER OBSERVER-ESTIMATORS FOR LINEAR DISCRETE-TIME DYNAMICAL-SYSTEMS
IGLEHART, SC
LEONDES, CT
INTERNATIONAL JOURNAL OF CONTROL, 1972, 16 (03) : 401 - &
[48] EFFICIENT IDENTIFICATION OF RBF NEURAL-NET MODELS FOR NONLINEAR DISCRETE-TIME MULTIVARIABLE DYNAMICAL-SYSTEMS
TAN, SH
HAO, JB
VANDEWALLE, J
NEUROCOMPUTING, 1995, 9 (01) : 11 - 26
[49] Large and moderate deviations for a discrete-time marked Hawkes process
Wang, Haixu
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2023, 52 (17) : 6037 - 6062
[50] ROBUSTNESS OF TRAJECTORIES OF DYNAMICAL-SYSTEMS TO HYSTERESIS PERTURBATIONS
DIAMOND, F
KLOEDEN, P
KOZYAKIN, VS
KRASNOSELSKII, MA
POKROVSKII, AV
DOKLADY AKADEMII NAUK, 1995, 343 (01) : 25 - 27

← 1 2 3 4 5 →