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arxiv: 0801.2409 · v1 · submitted 2008-01-15 · 🧮 math.DS · math.PR

Recurrence times and large deviations

classification 🧮 math.DS math.PR
keywords largecriteriondeviationabstractapplicationclassdeterminedeviations
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We give a criterion to determine the large deviation rate functions for abstract dynamical systems on towers. As an application of this criterion we show the level 2 large deviation principle for some class of smooth interval maps with nonuniform hyperbolicity.

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