Superattracting fixed points of quasiregular mappings
Fletcher, Alastair; Nicks, Daniel A.
DANIEL NICKS Dan.Nicks@nottingham.ac.uk
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.
Fletcher, A., & Nicks, D. A. (2016). Superattracting fixed points of quasiregular mappings. Ergodic Theory and Dynamical Systems, 36(3), https://doi.org/10.1017/etds.2014.88
|Journal Article Type||Article|
|Acceptance Date||Jul 28, 2014|
|Online Publication Date||Nov 10, 2014|
|Publication Date||May 1, 2016|
|Deposit Date||Apr 19, 2016|
|Publicly Available Date||Apr 19, 2016|
|Journal||Ergodic Theory and Dynamical Systems|
|Publisher||Cambridge University Press|
|Peer Reviewed||Peer Reviewed|
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