Iteration of quasiregular mappings
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Publication:619439
DOI10.1007/BF03321776zbMath1243.30057WikidataQ125774650 ScholiaQ125774650MaRDI QIDQ619439
Publication date: 25 January 2011
Published in: Computational Methods and Function Theory (Search for Journal in Brave)
iterationdynamicsJulia setFatou setquasiconformal mapquasiregular mapquasimeromorphic mapuniformly quasiregular map
Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Quasiconformal mappings in the complex plane (30C62)
Related Items (21)
Iteration of quasiregular tangent functions in three dimensions ⋮ Julia sets of Zorich maps ⋮ Permutable quasiregular maps ⋮ Explosion points and topology of Julia sets of Zorich maps ⋮ The fast escaping set for quasiregular mappings ⋮ Foundations for an iteration theory of entire quasiregular maps ⋮ On uniformly disconnected Julia sets ⋮ Quasiregular semigroups with examples ⋮ DYNAMICS OF NONHOLOMORPHIC SINGULAR CONTINUATIONS: A CASE IN RADIAL SYMMETRY ⋮ Fatou–Julia theory for non-uniformly quasiregular maps ⋮ Wandering domains in quasiregular dynamics ⋮ Strongly automorphic mappings and Julia sets of uniformly quasiregular mappings ⋮ The Julia set and the fast escaping set of a quasiregular mapping ⋮ Julia sets and wild Cantor sets ⋮ Fixed curves near fixed points ⋮ On the iteration of quasimeromorphic mappings ⋮ Dynamics of quasiregular mappings with constant complex dilatation ⋮ Julia sets of uniformly quasiregular mappings are uniformly perfect ⋮ Chaotic dynamics of a quasiregular sine mapping ⋮ Poincaré linearizers in higher dimensions ⋮ On quasiregular linearizers
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