2 papers
math-ph2025
The Dry Ten Martini Problem for cosine-type quasiperiodic Schrödinger operators
Lingrui Ge, Yiqian Wang, Jiahao Xu
This paper solves ``The Dry Ten Martini Problem'' for cosine-type quasiperiodic Schrödinger operators with large coupling constants and Diophantine frequencies, a model orig…
math.DS2025
The precise regularity of the Lyapunov exponent for Cos-type quasiperiodic Schrödinger cocycles with large couplings
Jiahao Xu, Lingrui Ge, Yiqian Wang
In this paper, we study the regularity of the Lyapunov exponent for quasiperiodic Schrödinger cocycles with cos-type potentials, large coupling constants, and a fixed Diopha…