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Results tagged with complex-dynamics
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user 8252
Dynamics of holomorphic transformations; Mandelbrot and Julia sets.
4
votes
Representing a number close to 1 with a sum of reciprocals of natural numbers
Some greater detail about the context for the question. Thurston (see Doaudy and Hubbard) considers a branched cover $f\colon S^2 \to S^2$ such that $P_f \equiv \{ f^n(c) \mid c \in C_f$ is finite (wh …
- 987
31
votes
Accepted
The deep significance of the question of the Mandelbrot set's local connectedness?
If a connected compact $K \subset C$ is locally connected then the Riemann map
$h\colon C \setminus \Delta \to C \setminus K$ extends continuously to $\partial \Delta$. For each $z \in \partial K$, t …
- 987