For the conformal measure laplacian we use the estimated Hausdorff dimension. To approximate the Hausdor ff dimension of the Julia set corresponding to z^2 +c we calculate the sum of weights assigned by equation |2*abs(z)|^{dim}*weight(pre-image of z) for d chosen at regular intervals in [1; 2] on graph levels 1-22 (1-21 in the case of Rabbit). If d is chosen too large, the sequence will diverge, for d too small the sequence tends to 0. Given this we re ne the grid. Continuing this process allows us to estimate d to the desired accuracy.
We note that these results correspond to our expectations, as the Hausdorff dimensionof a Julia set should be between 1 and 2, and the quasicircle that intutitively looks more complex in fact has a higher estimated Hausdorff dimmension.