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arXiv · 1909.11066

The Mandelbrot set is the shadow of a Julia set

Francois Berteloot·Tien-Cuong Dinh
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Abstract

Working within the polynomial quadratic family, we introduce a new point of view on bifurcations which naturally allows to see the seat of bifurcations as the projection of a Julia set of a complex dynamical system in dimension three. We expect our approach to be extendable to other holomorphic families of dynamical systems.

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Francois Berteloot, Tien-Cuong Dinh. 2019-09-24. The Mandelbrot set is the shadow of a Julia set. https://arxiv.org/abs/1909.11066

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