Brian Choi

Long-time continuum limits for twisted Schr\"{o}dinger lattices

We prove polynomial-in-time Sobolev bounds on the approximation error between the twisted discrete nonlinear Schr\"{o}dinger equation and its magnetic continuum limit. The analysis exploits complete integrability of the continuum flow through its Birkhoff representation to control approximation by a non-integrable Hami...