Wandering orbit portraits

Kiwi, Jan

doi:10.1090/S0002-9947-01-02896-3

Wandering orbit portraits
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by Jan Kiwi PDF

Trans. Amer. Math. Soc. 354 (2002), 1473-1485 Request permission

Abstract:

We study a counting problem in holomorphic dynamics related to external rays of complex polynomials. We give upper bounds on the number of external rays that land at a point $z$ in the Julia set of a polynomial, provided that $z$ has an infinite forward orbit.

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