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Results tagged with fractals
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user 73630
Fractals deal with special sets that exhibit complicated patterns in every scale. Fractal sets usually have a Hausdorff dimension different from its topological dimension. Examples include Julia sets, the Sierpinski triangle, the Cantor set. Fractals naturally appear in dynamical system, such as iterations in the complex plane, or as strange attractors to continuous dynamical systems, (see Lorentz attractor).
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Why are the Julia sets so simple? (quadratic family)
When you consider infinitely renormalizable polynomial, you can see infinitely many completely different picture. For example, there exists $c$ such that you can find periodic points $x_n$ such that $ …
- 106
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Accepted
Is it known that MLC is sufficient to prove the density of hyperbolic conjecture of rational...
I guess "MLC implies HD" holds for any unicritical polynomial family (probably the same proof applies but I haven't checked). On the other hand, Lavaurs proved in his thesis that the connectedness loc …
- 106