2 citations · 2 across the 5 of their papers we have counts for
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Quantitative Rigidity of pseudo-rotations on the two-torus and Sarnak's conjecture
Yinshan Chang, Jian Wang, Junchang Zhou
We establish quantitative rigidity results for pseudo-rotations of the two-torus under a -deviation condition relative to their rotation vectors. The main ingredient is a qu…
Examples beyond Bounded Mean Motion for Quantitative Rigidity on the Two-Torus
Yinshan Chang, Jian Wang, Junchang Zhou
This note supplies genuinely non-fibred examples for the manuscript: Rigidity on the Two-Torus and Sarnak's Conjecture. For every , we construct Lebesgue-a…
Regularity, quantitative deviation, and non-rigidity of a lacunary skew product
Yinshan Chang, Jian Wang, Junchang Zhou
Let be irrational and let be the denominators of its continued-fraction convergents. We study the function \[ h(x)=\sum_{j\geq1}\frac{\cos(2πq_jx)}{q_j} \] and the skew p…
Second order asymptotics for Krein indefinite multipliers with multiplicity two
Yinshan Chang, Jingzhi Yan
We consider linear Hamiltonian equations in of the following type \begin{equation} \frac{\mathrm{d}γ}{\mathrm{d}t}(t)=J_{4}A(t)γ(t), γ(0)\in\operatorname{Sp}(4,\ma…
On bifurcation of eigenvalues along convex symplectic paths
Yinshan Chang, Yiming Long, Jian Wang
We consider a continuously differentiable curve in the space of real symplectic matrices, which is the solution of the following ODE: $\frac{\mathrm{d…