2 papers
math.DS2026
Positive-Measure Acceleration Strata for Prevalent Perturbations of N-Fold Pullbacks of Supercritical Almost Mathieu Potentials
Jinhao Liang, Yiqian Wang, Jiahao Xu
Fix a strip width \(ρ>0\), a Diophantine frequency \(α\), an integer \(N\ge2\), and \(λ>1\). For the family \[ V_{\varepsilon,δ}(x) =2λ\cos(2πN x)+\varepsilonδ(x), \] we prove that…
math.DS2018
Hölder continuity of Lyapunov exponent for a family of smooth Schrödinger cocycles
Jinhao Liang, Yiqian Wang, Jiangong You
We prove the Hölder continuity of the Lyapunov exponent for quasi-periodic Schrödinger cocycles with a cos-type potential and any fixed Liouvillean frequency, provided the co…