O'Reilly logo

Quasiconformal Surgery in Holomorphic Dynamics by Núria Fagella, Bodil Branner

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

3

Preliminaries on dynamical systems and actions of Kleinian groups

In this book we apply the technique of quasiconformal surgery to holomorphic dynamical systems, or more precisely to the dynamical systems generated by the iteration of a holomorphic map

image

where S is a Riemann surface, i.e. a complex manifold of (complex) dimension 1. For any given initial condition z0S we consider the (forward) orbit of z0 under f, that is the sequence

image

To understand the dynamical system generated by the iterates of f means to understand the fate of all orbits, ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required