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arXiv · 1912.01976

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

Toby Taylor-Crush
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Abstract

We study perturbations of random dynamical systems whose associated transfer operators admit a uniform spectral gap. We provide a $k^{\text{th}}$-order approximation for the invariant density of the associated random dynamical system. We apply our result to random continued fractions.

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Toby Taylor-Crush. 2019-12-04. On the regularity and approximation of invariant densities for random continued fractions. https://arxiv.org/abs/1912.01976

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