Recurrence times and large deviations

2008/01/15 by Yong Moo Chung, Chung, Yong Moo
Mathematics · #37D25 #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.0801.2409

openalex publication_date 2008/01/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Recurrence times and rates of mixing
• Statistical Properties of Dynamical Systems with Some Hyperbolicity

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