Iteration of quasiregular mappings

  • 6 December 2023
  • 2pm-3pm
  • Sch1.05
  • Dan Nicks

Dan Nicks (Nottingham)

Quasiregular mappings on n-dimensional Euclidean space provide a natural generalisation of holomorphic functions on the complex plane. We will discuss some results and examples from the iteration theory of quasiregular mappings. This topic is guided by the well-established theory of complex dynamics; that is, iteration of holomorphic functions. The talk will introduce some ideas from complex dynamics and see how far they can be carried over to the higher-dimensional quasiregular setting.

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