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A numerical microscope to study the Mandelbrot set

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Mandelbrot : a numerical microscope

Mandelbrot is a library, written in C, that aims to be a complete toolbox to study the Mandelbrot set.

We used this library to generate a complete and certified database of all the hyperbolic centers of period $n \leq 41$ and all Misiurewicz-Thurston parameters of preperiod $\ell$ and period $n$ with $\ell+n\leq 35$. This computational challenge was made possible by the use of a new splitting algorithm, based on level lines and introduced in this article. The documentation is availlable on the project's website:

https://fvigneron.github.io/Mandelbrot

More details comming soon.

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