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Transactions of the American Mathematical Society

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Large deviations in dynamical systems

Author: Lai-Sang Young
Journal: Trans. Amer. Math. Soc. 318 (1990), 525-543
MSC: Primary 58F11; Secondary 58F12
MathSciNet review: 975689
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Abstract: We prove some large deviation estimates for continuous maps of compact metric spaces and apply them to attractors in differentiable dynamics, rate of escape problems, and to shift spaces.

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Keywords: Large deviation, entropy, Lyapunov exponents, hyperbolicity
Article copyright: © Copyright 1990 American Mathematical Society

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