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Lyapunov exponents for continuous random transformations

Lyapunov exponents for continuous random transformations
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摘要 In this paper, the concept of Lyapunov exponent is generalized to random transformations that are not necessarily differentiable. For a class of random repellers and of random hyperbolic sets obtained via small perturbations of deterministic ones respectively, the new exponents are shown to coincide with the classical ones. In this paper, the concept of Lyapunov exponent is generalized to random transformations that are not necessarily differentiable. For a class of random repellers and of random hyperbolic sets obtained via small perturbations of deterministic ones respectively, the new exponents are shown to coincide with the classical ones.
出处 《Science China Mathematics》 SCIE 2010年第2期413-424,共12页 中国科学:数学(英文版)
基金 supported by National Natural Science Foundation of China (Grant No. 10701032) Natural Science Foundation of Hebei Province (Grant No. A2008000132)
关键词 RANDOM transformation Lyapunov EXPONENT MULTIPLICATIVE ERGODIC theorem RANDOM REPELLER RANDOM HYPERBOLIC set random transformation Lyapunov exponent multiplicative ergodic theorem random repeller random hyperbolic set
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