Large deviations in dynamical systems

Author:
Lai-Sang Young

Journal:
Trans. Amer. Math. Soc. **318** (1990), 525-543

MSC:
Primary 58F11; Secondary 58F12

DOI:
https://doi.org/10.1090/S0002-9947-1990-0975689-7

MathSciNet review:
975689

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Abstract | References | Similar Articles | Additional Information

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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Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1990-0975689-7

Keywords:
Large deviation,
entropy,
Lyapunov exponents,
hyperbolicity

Article copyright:
© Copyright 1990
American Mathematical Society