Entropy formula of Pesin type for noninvertible random dynamical systems

被引：16
|
作者：
Liu, PD [1 ]
机构：
[1] Beijing Univ, Dept Math, Beijing 100871, Peoples R China
[2] Beijing Univ, Math Inst, Beijing 100871, Peoples R China
[3] Univ Bremen, Inst Dynam Syst, D-2800 Bremen, Germany
来源：
MATHEMATISCHE ZEITSCHRIFT | 1999年 / 230卷 / 02期
关键词：
D O I：
10.1007/PL00004694
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we consider random dynamical systems (abbreviated henceforth as RDS's) generated by compositions of random endomorphisms (maybe noninvertible and with singularities) of class C-2 of a compact manifold. Entropy formula of Pesin type is proved for such RDS's under some absolute continuity conditions on the associated invariant measures. Mathematics Subject Classification (1991): 28D20; 58F11.
引用
收藏
页码：201 / 239
页数：39
相关论文
共 50 条
  • [21] Srb measures and Pesin's entropy formula for endomorphisms
    Qian, M
    Zhu, S
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 354 (04) : 1453 - 1471
  • [22] Pesin's entropy formula for stochastic flows of diffeomorphisms
    刘培东
    Science China Mathematics, 1996, (08) : 820 - 833
  • [23] SRB Measures and Pesin's Entropy Formula for Endomorphisms
    Qian, Min
    Xie, Jian-Sheng
    Zhu, Shu
    SMOOTH ERGODIC THEORY FOR ENDOMORPHISMS, 2009, 1978 : 97 - 150
  • [24] Preimage entropy for random dynamical systems
    Zhu, Yujun
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2007, 18 (04) : 829 - 851
  • [25] C1-generic Pesin's entropy formula
    Tahzibi, A
    COMPTES RENDUS MATHEMATIQUE, 2002, 335 (12) : 1057 - 1062
  • [26] C1 generic Pesin's entropy formula
    Tahzibi, A
    EQUADIFF 2003: INTERNATIONAL CONFERENCE ON DIFFERENTIAL EQUATIONS, 2005, : 440 - 445
  • [27] Pesin's Entropy Formula for Systems Between C1 and C1+α
    Tian, Xueting
    JOURNAL OF STATISTICAL PHYSICS, 2014, 156 (06) : 1184 - 1198
  • [28] Random dynamical systems with positive entropy imply second type of distributional chaos
    Tan, Feng
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 328 : 133 - 156
  • [29] Maximizing entropy measures for random dynamical systems
    Bilbao, Rafael A.
    Oliveira, Krerley
    STOCHASTICS AND DYNAMICS, 2017, 17 (05)
  • [30] WEIGHTED TOPOLOGICAL ENTROPY OF RANDOM DYNAMICAL SYSTEMS
    Yang, Kexiang
    Chen, Ercai
    Lin, Zijie
    Zhou, Xiaoyao
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2025,
12345