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Multiple equivalent matings with the aeroplane polynomial – erratum. (English) Zbl 1198.37073
In [M. Rees, Ergodic Theory Dyn. Syst. 30, No. 4, 1239–1257 (2010; Zbl 1291.37069)] the definition of $$w_{k,n}$$ and $$u_{k,n}$$ for $$0<k<n$$, just before Lemma 2.6, should be: $$w_{k,n}$$ and $$u_{k,n}$$ are obtained from $$w_n$$ (not $$v_n$$) and $$u_n$$ respectively, by replacing every occurrence of $$a$$ which precedes a word $$v_k$$ or $$t_k$$ or $$u_k$$ by $$b$$. (The words $$t_{k,n}$$ are not needed. The definition of $$r_{k,n}$$ in 2.8 is correct.)
In the statement of Lemma 2.6: one additional suffix $$u$$ of $$v_nu_n$$ which satisfies $$v_nu_n< u< w_{n,k}u_{n,k}$$ is $$u=u_k$$.
MSC:
 37F10 Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets
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