24 citations · 75 across the 31 of their papers we have counts for
4 papers · 1 filter
Chaotic dynamics of a quasiregular sine mapping
Alastair N. Fletcher, Daniel A. Nicks
This article studies the iterative behaviour of a quasiregular mapping S:\R^d\to\R^d that is an analogue of a sine function. We prove that the periodic points of S form a dense sub…
Dynamics of mappings with constant dilatation
Alastair Fletcher, Robert Fryer
Let h:C \to C be an R-linear map. In this article, we explore the dynamics of the quasiregular mapping H(z)=h(z)^2. Via the Böttcher type coordinate constructed in "On Böttcher coo…
On Böttcher coordinates and quasiregular maps
Alastair Fletcher, Robert Fryer
It is well-known that a polynomial f(z)=a_d z^d(1+o(1)) can be conjugated by a holomorphic map phi to w \mapsto w^d in a neighbourhood of infinity. This map phi is called a Böttche…
The Moduli space of Riemann Surfaces of Large Genus
Alastair Fletcher, Jeremy Kahn, Vladimir Markovic
Let be the -thick part of the moduli space of closed genus surfaces. In this article, we show that the number of balls of radius need…