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Superattracting fixed points of quasiregular mappings

Fletcher, Alastair; Nicks, Daniel A.

Authors

Alastair Fletcher fletcher@math.niu.edu



Abstract

We investigate the rate of convergence of the iterates of an n-dimensional quasiregular mapping within the basin of attraction of a fixed point of high local index. A key tool is a refinement of a result that gives bounds on the distortion of the image of a small spherical shell. This result also has applications to the rate of growth of quasiregular mappings of polynomial type, and to the rate at which the iterates of such maps can escape to infinity.

Journal Article Type Article
Publication Date May 1, 2016
Journal Ergodic Theory and Dynamical Systems
Print ISSN 0143-3857
Electronic ISSN 1469-4417
Publisher Cambridge University Press (CUP)
Peer Reviewed Peer Reviewed
Volume 36
Issue 3
APA6 Citation Fletcher, A., & Nicks, D. A. (2016). Superattracting fixed points of quasiregular mappings. Ergodic Theory and Dynamical Systems, 36(3), doi:10.1017/etds.2014.88
DOI https://doi.org/10.1017/etds.2014.88
Publisher URL http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=10264173&fileId=S0143385714000881
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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