2 documents found

Dissertation

On the Measure of the Escaping Set of a Quasiregular Analogue of Sine

Quasiregular maps are a natural generalisation of holomorphic maps to higher dimensions. Recently, there is an increasing interest in studying the dynamics of quasiregular maps on the $d$-dimensional Euclidian space. Until now, not much is known about the dynamical behaviour of general quasiregular maps....
Dissertation

Escaping sets of entire and quasiregular maps

A transcendental entire function is a holomorphic function on the whole complex plane which is not a polynomial. The Julia set of an entire function $f$ denotes the set of all points in $\C$ where the iterates $f^k$ of $f$ do not form a normal family in the sense of Montel. Many mathematicians investigated...