Maximal Lyapunov exponents for random matrix products

被引：0
|
作者：
Mark Pollicott
机构：
[1] Warwick University,Department of Mathematics
来源：
Inventiones mathematicae | 2010年 / 181卷
关键词：
Lyapunov Exponent; Transfer Operator; Projective Action; Maximal Lyapunov Exponent; Positive Matrice;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this article we study the Lyapunov exponent for random matrix products of positive matrices and express them in terms of associated complex functions. This leads to new explicit formulae for the Lyapunov exponents and to an efficient method for their computation.
引用
收藏
页码：209 / 226
页数：17
相关论文
共 50 条
  • [41] Lyapunov Exponents for the Random Product of Two Shears
    Sturman, Rob
    Thiffeault, Jean-Luc
    JOURNAL OF NONLINEAR SCIENCE, 2019, 29 (02) : 593 - 620
  • [42] Random and mean Lyapunov exponents for GLn(R)
    Armentano, Diego
    Chinta, Gautam
    Sahi, Siddhartha
    Shub, Michael
    ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2024, 44 (08) : 2063 - 2079
  • [43] Lyapunov Exponents for the Random Product of Two Shears
    Rob Sturman
    Jean-Luc Thiffeault
    Journal of Nonlinear Science, 2019, 29 : 593 - 620
  • [44] ON LYAPUNOV EXPONENTS OF DIFFERENCE EQUATIONS WITH RANDOM DELAY
    Nguyen Dinh Cong
    Thai Son Doan
    Siegmund, Stefan
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2015, 20 (03): : 861 - 874
  • [45] Coincidence of Lyapunov exponents for random walks in weak random potentials
    Flury, Markus
    ANNALS OF PROBABILITY, 2008, 36 (04): : 1528 - 1583
  • [46] GENERALIZED LYAPUNOV EXPONENTS IN HIGH-DIMENSIONAL CHAOTIC DYNAMICS AND PRODUCTS OF LARGE RANDOM MATRICES
    CRISANTI, A
    PALADIN, G
    VULPIANI, A
    JOURNAL OF STATISTICAL PHYSICS, 1988, 53 (3-4) : 583 - 601
  • [47] MINIMAL AND MAXIMAL LYAPUNOV EXPONENTS OF BILINEAR CONTROL-SYSTEMS
    COLONIUS, F
    KLIEMANN, W
    JOURNAL OF DIFFERENTIAL EQUATIONS, 1993, 101 (02) : 232 - 275
  • [48] VISCOSITY OF A SIMPLE FLUID FROM ITS MAXIMAL LYAPUNOV EXPONENTS
    EVANS, DJ
    COHEN, EGD
    MORRISS, GP
    PHYSICAL REVIEW A, 1990, 42 (10): : 5990 - 5997
  • [49] The Baire class of maximal lower semicontinuous minorants of Lyapunov exponents
    Vetokhin, AN
    DIFFERENTIAL EQUATIONS, 1998, 34 (10) : 1313 - 1317
  • [50] Strict comparison for the Lyapunov exponents of the simple random walk in random potentials
    Kubota, Naoki
    ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS, 2023, 20 (02): : 989 - 1015
12345