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math.DS2026
Primitive inhomogeneous approximation for fixed non-singular frequencies
Xueyin Wang
We prove a high-dimensional primitive inhomogeneous Diophantine approximation result for fixed non-singular simultaneous frequencies. The frequency class is explicit and has full L…
math.DS2026
Continuity of Lyapunov Exponent for Quasi-Periodic Gevrey Cocycles
Xueyin Wang
It is shown that for the quasi-periodic cocycles in Gevrey space and subexponential Brjuno class frequency , the Lyapunov exponent is continuous provided that $1<s+η<…