2 papers
math-ph2023
Diagonalization in a quantum kicked rotor model with non-analytic potential
Yunfeng Shi, Li Wen
In this paper we study the lattice quasi-periodic operators with power-law long-range hopping and meromorphic monotone potentials, and diagonalize the operators via a Nash-Moser it…
math-ph2023
Long-time Anderson Localization for the Nonlinear quasi-periodic Schrödinger Equation on
Hongzi Cong, Yunfeng Shi, W. -M. Wang
Using a Birkhoff normal form transform to impede mode transfer in a finite "barrier", we prove localization of arbitrary data for polynomially long time for the nonlinear…