Mathematical Sciences Research Institute

Home » Workshop » Schedules » Complex Rotation Numbers and Renormalization

Complex Rotation Numbers and Renormalization

[HYBRID WORKSHOP] Connections Workshop: Complex Dynamics - from special families to natural generalizations in one and several variables February 02, 2022 - February 04, 2022

February 03, 2022 (10:40 AM PST - 11:05 AM PST)
Speaker(s): Nataliia Goncharuk (University of Toronto, Mississauga)
Location: MSRI: Online/Virtual
  • rotation numbers

  • fractals

  • renormalization operator

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification

Complex Rotation Numbers And Renormalization


The complex rotation number is an invariant related to the dynamics of an analytic circle diffeomorphism f. It produces a nice fractal set ``bubbles'' analogous to Arnold's tongues. I will explain how the renormalization operator makes the ``bubbles'' self-similar and controls their sizes.

92532?type=thumb Complex Rotation Numbers and Renormalization 1.78 MB application/pdf Download
Video/Audio Files

Complex Rotation Numbers And Renormalization

Troubles with video?

Please report video problems to itsupport@msri.org.

See more of our Streaming videos on our main VMath Videos page.