Non computable Mandelbrot-like set for a one-parameter complex family
Dynamical Systems
2017-03-16 v1
Abstract
We show the existence of computable complex numbers for which the bifurcation locus of the one parameter complex family is not Turing computable.
Cite
@article{arxiv.1703.04668,
title = {Non computable Mandelbrot-like set for a one-parameter complex family},
author = {Daniel Coronel and Cristobal Rojas and Michael Yampolsky},
journal= {arXiv preprint arXiv:1703.04668},
year = {2017}
}