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

Toby Taylor-Crush

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

Dynamical Systems 2020-06-18 v2

Authors: Toby Taylor-Crush

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.

Keywords

random dynamical systems transfer operators spectral gap invariant density random continued fractions approximation

Cite

@article{arxiv.1912.01976,
  title  = {On the regularity and approximation of invariant densities for random continued fractions},
  author = {Toby Taylor-Crush},
  journal= {arXiv preprint arXiv:1912.01976},
  year   = {2020}
}

Comments

This version has been accepted for publication in Dynamical Systems: An International Journal

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