Research Group:
Speaker:
Alberto Maspero
Institution:
SISSA
Schedule:
Tuesday, April 17, 2018 - 14:30
Location:
A-134
Abstract:
In this paper we study the Birkhoff coordinates (Cartesian action angle coordinates) of the Toda lattice with periodic boundary condition in the limit where the number N of the particles tends to infinity. We prove that the transformation introducing such coordinates maps analytically a complex ball of radius R/N^a (in discrete Sobolev-analytic norms) into a ball of radius R'/N^a with (with R, R' independent of N) if and only if $a \geq 2$. The proof of the theorem is based on a new quantitative version of a Vey type theorem by Kuksin and Perelman.This is a joint work with Dario Bambusi.