LOCAL DYNAMICS OF UNIFORMLY QUASIREGULAR MAPPINGS

LOCAL DYNAMICS OF UNIFORMLY QUASIREGULAR MAPPINGS

We investigate local dynamics of uniformly quasiregular mappings, give new examples and show in particular that there is no quasiconformal analogue of the Leau-Fatou linearization of parabolic dynamics.

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Veröffentlicht in:Mathematica scandinavica 2004-09, Vol.95 (1), p.80-100
Hauptverfasser: HINKKANEN, AIMO, MARTIN, GAVEN J., MAYER, VOLKER
Format: Artikel
Sprache:eng
Schlagworte:
Conformity
Dilatation
Homeomorphism
Infinity
Julia sets
Linearization
Mathematics
Petals
Rational functions
Rotation
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Beschreibung
Zusammenfassung:We investigate local dynamics of uniformly quasiregular mappings, give new examples and show in particular that there is no quasiconformal analogue of the Leau-Fatou linearization of parabolic dynamics.
ISSN:0025-5521
1903-1807
DOI:10.7146/math.scand.a-14450