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Title:
Near-neutral renormalization in Complex Dynamics

Speaker:
Dzmitry Dudko

Abstract:
We will give an overview of near-neutral renormalization theories for quadratic polynomials and discuss how these theories relate to the renormalization of circle maps and to the problem of local connectivity of the Mandelbrot set. We will then discuss uniform a priori bounds for neutral polynomials that control how Siegel quasidisks degenerate when the rotation number becomes unbounded.

Link:
http://scgp.stonybrook.edu/video_portal/video.php?id=4691

Workshop:
Simons- Workshop: Many Faces of Renormalization