Progress in Holomorphic Dynamics

preview-18
  • Progress in Holomorphic Dynamics Book Detail

  • Author : Hartje Kriete
  • Release Date : 1998-05-20
  • Publisher : CRC Press
  • Genre : Mathematics
  • Pages : 204
  • ISBN 13 : 9780582323889
  • File Size : 90,90 MB

Progress in Holomorphic Dynamics by Hartje Kriete PDF Summary

Book Description: In the last few decades, complex dynamical systems have received widespread public attention and emerged as one of the most active fields of mathematical research. Starting where other monographs in the subject end, Progress in Holomorphic Dynamics advances the theoretical aspects and recent results in complex dynamical systems, with particular emphasis on Siegel discs. Organized into four parts, the papers in this volume grew out of three workshops: two hosted by the Georg-August-Universität Göttingen and one at the "Mathematisches Forschungsinstitut Oberwolfach." Part I addresses linearization. The authors review Yoccoz's proof that the Brjuno condition is the optimal condition for linearizability of indifferent fixed points and offer a treatment of Perez-Marco's refinement of Yoccoz's work. Part II discusses the conditions necessary for the boundary of a Siegel disc to contain a critical point, builds upon Herman's work, and offers a survey of the state-of-the-art regarding the boundaries of Siegel discs. Part III deals with the topology of Julia sets with Siegel discs and contains a remarkable highlight: C.L. Petersen establishes the existence of Siegel discs of quadratic polynomials with a locally connected boundary. Keller, taking a different approach, explains the relations between locally connected "real Julia sets" with Siegel discs and the abstract concepts of kneading sequences and itineraries. Part IV closes the volume with four papers that review the different directions of present research in iteration theory. It includes discussions on the relations between commuting rational functions and their Julia sets, interactions between the iteration of polynomials and the iteration theory of entire transcendental functions, a deep analysis of the topology of the limbs of the Mandelbrot set, and an overview of complex dynamics in higher dimensions.

Disclaimer: www.yourbookbest.com does not own Progress in Holomorphic Dynamics books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Progress in Holomorphic Dynamics

Progress in Holomorphic Dynamics

File Size : 60,60 MB
Total View : 1553 Views
DOWNLOAD

In the last few decades, complex dynamical systems have received widespread public attention and emerged as one of the most active fields of mathematical resear

Holomorphic Dynamics

Holomorphic Dynamics

File Size : 8,8 MB
Total View : 5453 Views
DOWNLOAD

The objective of the meeting was to have together leading specialists in the field of Holomorphic Dynamical Systems in order to present their current reseach in

Holomorphic Dynamics

Holomorphic Dynamics

File Size : 37,37 MB
Total View : 6024 Views
DOWNLOAD

This book, first published in 2000, is a comprehensive introduction to holomorphic dynamics, that is the dynamics induced by the iteration of various analytic m

Progress in Analysis

Progress in Analysis

File Size : 96,96 MB
Total View : 7648 Views
DOWNLOAD

The biannual ISAAC congresses provide information about recent progress in the whole area of analysis including applications and computation. This book constitu