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arXiv · 0905.0729

Pseudorandom Numbers for Conformal Measure

Manfred Denker·Jinqiao Duan·Michael McCourt
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Abstract

We propose a new algorithm for generating pseudorandom (pseudo-generic) numbers of conformal measures of a continuous map T acting on a compact space X and for a Holder continuous potential F. In particular, we show that this algorithm provides good approximations to generic points for hyperbolic rational functions of degree two and the potential -h log|T'|, where h denotes the Hausdorff dimension of the Julia set of T .

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Manfred Denker, Jinqiao Duan, Michael McCourt. 2009-05-06. Pseudorandom Numbers for Conformal Measure. https://arxiv.org/abs/0905.0729

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