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math.CA2018
Invariant Curves of Almost Periodic Reversible Mappings
Daxiong Piao, Xinli Zhang
In this paper, we prove some invariant curve theorems for the planar almost periodic reversible mappings. As an application, we will discuss the existence of almost periodic soluti…
math-ph2018
Hölder continuity of the Lyapunov exponent for Schrödinger cocycle with quasi-periodic Gevrey potential and weak Liouville frequency
Licheng Fang, Daxiong Piao
For analytic quasi-periodic Schrödinger cocycles, You and Zhang [9] proved that the Lyapunov exponent is Hölder continuous for weak Liouville frequency. In this paper, we prove tha…
math.FA2018
Log-Hölder Continuity of the Lyapunov Exponent for Jacobi Operators with Potentials Given by the Skew-Shift
Licheng Fang, Daxiong Piao
In this paper we study one-dimensional Jacobi operators on the lattice with a potential given by the skew shift. We show that the large deviation theorem takes place for Diophantin…