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Is the Mandelbrot set path-connected?

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#general-topology #complex-analysis #fractals #complex-dynamics #path-connected
120
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effective degree for normalized escape-time of hybrids

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#fractals #complex-dynamics
217
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Julia set of $x_n = \frac{ x_{n-1}^2 - 1}{n}$

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#recurrence-relations #radicals #closed-form #fractals #complex-dynamics
96
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Is this proof of Milnor's lemma valid? the one about Newtons method and super-attractive fixed-points corresponding to simple roots

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#complex-analysis #functional-analysis #dynamical-systems #newton-raphson #complex-dynamics
226
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Hausdorff Dimension of Julia set of $z^2+2$?

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#fractals #complex-dynamics #hausdorff-measure
416
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How to find the set of $c$ for which the Julia set of $x^2+c$ completely lies in $\mathbb{R}$?

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#complex-analysis #fractals #complex-dynamics
114
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Iteration of mapping with nested iterates in logarithm

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#real-analysis #complex-analysis #convergence-divergence #infinite-product #complex-dynamics
200
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Help understanding a proof on why the Mandelbrot set is fractal

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#fractals #complex-dynamics
238
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bounds on dimension of Julia sets inside Mandelbrot set

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#reference-request #fractals #complex-dynamics
199
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How does this algorithm get the limit set of "kissing" Schottky group?

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#algorithms #mobius-transformation #complex-dynamics
140
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Julia set property: $J(f) = J(f^p)$

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#complex-analysis #dynamical-systems #complex-dynamics
144
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Image of basin of attraction is not an entire Fatou component.

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#complex-analysis #complex-dynamics
1.3k
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Fixed point at infinity

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#complex-analysis #dynamical-systems #holomorphic-functions #complex-dynamics
160
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Quasiregularity almost everywhere (removability)

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#complex-analysis #holomorphic-functions #complex-dynamics #quasiconformal-maps
75
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Two topological properties in Renormalization Theory

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#general-topology #complex-analysis #holomorphic-functions #complex-dynamics

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