Pseudorandom Numbers for Conformal Measure
Dynamical Systems
2009-05-07 v1 Numerical Analysis
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 .
Cite
@article{arxiv.0905.0729,
title = {Pseudorandom Numbers for Conformal Measure},
author = {Manfred Denker and Jinqiao Duan and Michael McCourt},
journal= {arXiv preprint arXiv:0905.0729},
year = {2009}
}
Comments
24 pages, of which the final 5 are predominantly Matlab code; 4 figures; 13 references