zbMATH — the first resource for mathematics

Multiple equivalent matings with the aeroplane polynomial. (English) Zbl 1291.37069
Ergodic Theory Dyn. Syst. 30, No. 4, 1239-1257 (2010); erratum ibid. 30, No. 4, 1259-1259 (2010).
Summary: We produce arbitrarily large equivalence classes of matings with the aeroplane polynomial. These are obtained via a slight generalization of the technique of proof of a similar result for Wittner captures.

37F10 Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets
Full Text: DOI arXiv
[1] Douady, Ann. Sci. École. Norm. Sup. (4) 18 pp 287– (1985)
[2] Douady, Etudes dynamiques des polynômes complexes (avec la collaboration de P. Lavaurs, Tan Lei et P. Sentenac), Parts I and II (1985)
[3] DOI: 10.1007/BF02392976 · Zbl 0774.58035 · doi:10.1007/BF02392976
[4] Rees, Astérisque 288 (2003)
[5] DOI: 10.1112/plms/s3-70.3.644 · Zbl 0827.58048 · doi:10.1112/plms/s3-70.3.644
[6] Tan, Ergod. Th. & Dynam. Sys. 12 pp 589– (1992)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.