List questions from complex-dynamics | MathQa

Is there a readable proof of the fact that the filled Julia set $K_c$ of a quadratic polynomial is a Cantor set if $f_c^n(0)$ goes to $\infty$?

Published on 13 Jan 2025 - 0:09

Why is the Mandelbrot Set to the power of 2?

Published on 12 Jan 2025 - 23:04

Filled Julia set

Published on 12 Jan 2025 - 16:45

An interesting way to visualize the Mandelbrot Set. Proofs? Simplifications? Extensions?

Published on 12 Jan 2025 - 23:27

Is it known whether the boundary of the Mandelbrot set is not continuous?

Published on 12 Jan 2025 - 23:22

Discrete systems with complicated basin boundaries?

Published on 12 Jan 2025 - 23:10

Where does the series of real Mandelbrot lobes end?

Published on 12 Jan 2025 - 23:10

Roots of iterations of polynomials

Published on 12 Jan 2025 - 23:00

Hybrid equivalence of Polynomial-like maps

Published on 12 Jan 2025 - 23:06

Convergence results for Durand-Kerner method

Published on 12 Jan 2025 - 23:07