Jonathan Fraser (University of St Andrews): "Dimensions of parabolic Julia sets and Kleinian limit sets" - September 7, 2022

About this video

This talk was part of the Dynamical Systems seminar at the University of Liverpool.

https://www.liverpool.ac.uk/mathematical-sciences/research/pure-mathematics/research/dynamical-systems/seminars/

Abstract: The Sullivan dictionary provides a beautiful correspondence between Kleinian groups acting on hyperbolic space and rational maps of the extended complex plane. An especially direct correspondence exists concerning the dimension theory of the associated limit sets and Julia sets. I will demonstrate that by slightly expanding the family of dimensions considered, a richer and more nuanced correspondence arises. This is joint work with Liam Stuart.

Comments

Please login to leave comments.

Information

  • Added:12 Sep 2022
  • Uploaded by:David Marti-Pete
  • Length:01:02:28
  • Views:531
  • Comments:0
  • Viewer rating:

Rate this video

Embed this video

Copy and paste the code below into the source of another web page.