Modularity and renormalization: some old and new results on Brjuno functions

Stefano Marmi

Let α∈ R \ Q and let (p_n/q_n)_{n\ge 0} be the sequence of the convergents of its

http://scgp.stonybrook.edu/video_portal/video.php?id=4698

Simons- Program: Renormalization and universality in Conformal Geometry, Dynamics, Random Processes, and Field Theory