Every parameter ray at a critical portrait of a degree-d (d≥2) non-recurrent polynomial lands at that polynomial.
Non-recurrent parameter rays of the Mandelbrot set
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abstract
In this paper, we prove that any parameter ray at a non-recurrent angle $\theta$ lands at a non-recurrent parameter $c$ with $\theta$ a characteristic angle of $f_c$; and conversely, every non-recurrent parameter $c$ is the landing point of one or two parameter rays at non-recurrent angles, and these angles are exactly the characteristic angles of $f_c$.
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math.DS 1years
2019 1verdicts
REJECT 1representative citing papers
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The landing of parameter rays at non-recurrent critical portraits
Every parameter ray at a critical portrait of a degree-d (d≥2) non-recurrent polynomial lands at that polynomial.