Fractal Dimension of Julia Set for Non-analytic Maps
Tang, Chao
arXiv, 9802308 / Harvested from arXiv
Text on arXiv
The Hausdorff dimensions of the Julia sets for non-analytic maps: f(z) = z^2 + epsilon z^* and f(z) = {z^*}^2 + epsilon are calculated perturbatively for small epsilon. It is shown that Ruelle's formula for Hausdorff dimensions of analytic maps can not be generalized to non-analytic maps.
Publié le : 1998-02-27
Classification:  Condensed Matter - Statistical Mechanics,  Mathematical Physics,  Nonlinear Sciences - Chaotic Dynamics 
@article{9802308,
     author = {Tang, Chao},
     title = {Fractal Dimension of Julia Set for Non-analytic Maps},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9802308}
}

Tang, Chao. Fractal Dimension of Julia Set for Non-analytic Maps. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9802308/