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 consider the scaling limits of noise in Siegel domains.
(weak noise added for a long time).
We show that the in the Siegel domain the scaling limits are Gaussian (central limit theorems)
and any Gaussian can appear as one such scaling limit. In the boundary, all the scaling limits
are rotationally invariant Gaussians.