On the regularity and approximation of invariant densities for random\n continued fractions

2019/12/04 by Toby Taylor-Crush, Taylor-Crush, Toby
Mathematics · Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1912.01976

openalex publication_date 2019/12/04 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

We study perturbations of random dynamical systems whose associated transfer\noperators admit a uniform spectral gap. We provide a k^\th-order\napproximation for the invariant density of the associated random dynamical\nsystem. We apply our result to random continued fractions.\n

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