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Sharkovsky's Ordering in the Mandelbrot Set

math.CO · 2025-06-06 · reject · novelty 5.0

The paper proposes that hyperbolic components along (k,l)-veins of the Mandelbrot set are ordered by the k-Sharkovsky ordering, with periods given by N(k,l) = {n ≥ k+l} ∪ {k,1}.

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  • Sharkovsky's Ordering in the Mandelbrot Set math.CO · 2025-06-06 · reject · none · ref 3

    The paper proposes that hyperbolic components along (k,l)-veins of the Mandelbrot set are ordered by the k-Sharkovsky ordering, with periods given by N(k,l) = {n ≥ k+l} ∪ {k,1}.