Display Abstract

Title Renormalization of critical and near-critical area-preserving maps

Name Hans A Koch
Country USA
Email koch@math.utexas.edu
Co-Author(s) Gianni Arioli
Submit Time 2014-03-24 22:17:19
Session
Special Session 124: Renormalization and universality in low-dimensional dynamics: from computer experiment to proof. Dedicated to the memory of Oscar Lanford III
Contents
We describe the renormalization of analytic area-preserving maps and Hamiltonian flows. This includes the construction of the critical fixed point, a proof for the existence of non-smooth invariant tori, and recent work (so far mostly numerical) related to hyperbolicity.