Mathematisches Seminar

Seminarvortrag von Prof. Alastair Fletcher (Northern Illinois University, USA): "Dynamics of mappings with constant dilatation"

10.01.2013 von 12:30 bis 14:00

LMS 4, Raum 325

Einladender: Bergweiler

 

Abstract:

The dynamics of quadratic polynomials have been extensively studied in the last 30 or so years. More recently, there has been interest in iterating a more general class of mappings: the quasiregular mappings. In this talk, we will investigate how features of the iteration of quadratic polynomials generalize to the quasiregular setting, in particular focusing on the situation of the composition of a quadratic polynomial and an R-linear mapping. We will show how analogues of Boettcher coordinates may be constructed for these mappings, how three different dynamical situations may occur depending on the R-linear mapping, and how some results from complex dynamics can help us in this more general quasiregular setting.

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