Manfred Denker

1paper

1 Paper

DSMay 6, 2009
Pseudorandom Numbers for Conformal Measure

Manfred Denker, Jinqiao Duan, Michael McCourt

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 .