Pseudorandom Numbers for Conformal Measure

Details Pseudorandom Numbers for Conformal Measure Pseudorandom Numbers for Conformal Measure

2009-05-06

arxiv.org/abs/0905.0729v1

Mathematics

Dynamical Systems

24 pages, of which the final 5 are predominantly Matlab code; 4 figures; 13 references

Scientific paper

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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