Superattracting fixed points of quasiregular mappings
作者： Daniel A. Nicks , Alastair Fletcher
DOI: 10.1017/ETDS.2014.88
关键词:
摘要: We investigate the rate of convergence iterates an n-dimensional quasiregular mapping within basin attraction a fixed point high local index. A key tool is refinement result that gives bounds on distortion image small spherical shell. This also has applications to growth mappings polynomial type, and at which such maps can escape infinity.
harvard.edu
sci-hub.st 参考文章(15)
O. Martio, M. Vuorinen, INFINITESIMAL GEOMETRY OF QUASIREGULAR MAPPINGS ,(2000)
Aimo Hinkkanen, Gaven J. Martin, Volker Mayer, Local dynamics of uniformly quasiregular mappings Mathematica Scandinavica. ,vol. 95, pp. 80- 100 ,(2004) , 10.7146/MATH.SCAND.A-14450
V. Ya. Gutlyanskiĭ, O. Martio, V. I. Ryazanov, M. Vuorinen, On local injectivity and asymptotic linearity of quasiregular mappings Studia Mathematica. ,vol. 128, pp. 243- 271 ,(1998)
John Willard Milnor, Dynamics in one complex variable ,(2000)
Rob Fryer, Alastair Fletcher, On Böttcher coordinates and quasiregular maps arXiv: Complex Variables. ,(2012)
Walter Bergweiler, David Drasin, Alastair Fletcher, The fast escaping set for quasiregular mappings Analysis and Mathematical Physics. ,vol. 4, pp. 83- 98 ,(2014) , 10.1007/S13324-014-0078-9
Daochun Sun, Lo Yang, Quasirational dynamic system Chinese Science Bulletin. ,vol. 45, pp. 1277- 1279 ,(2000) , 10.1007/BF03182901
Pentti Järvi, On the zeros and growth of quasiregular mappings Journal D Analyse Mathematique. ,vol. 82, pp. 347- 362 ,(2000) , 10.1007/BF02791234
Walter Bergweiler, Alastair Fletcher, Jim Langley, Janis Meyer, The escaping set of a quasiregular mapping Proceedings of the American Mathematical Society. ,vol. 137, pp. 641- 651 ,(2008) , 10.1090/S0002-9939-08-09609-3
ALASTAIR N. FLETCHER, DANIEL A. NICKS, Quasiregular dynamics on the n-sphere Ergodic Theory and Dynamical Systems. ,vol. 31, pp. 23- 31 ,(2011) , 10.1017/S0143385709001072