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arXiv · 1907.03872

Approximating integrals with respect to stationary probability measures of iterated function systems

Italo Cipriano·Natalia Jurga
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Abstract

We study fast approximation of integrals with respect to stationary probability measures associated to iterated functions systems on the unit interval. We provide an algorithm for approximating the integrals under certain conditions on the iterated function system and on the function that is being integrated. We apply this technique to estimate Hausdorff moments, Wasserstein distances and Lyapunov exponents of stationary probability measures.

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Italo Cipriano, Natalia Jurga. 2019-07-08. Approximating integrals with respect to stationary probability measures of iterated function systems. https://arxiv.org/abs/1907.03872

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