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math.DS2026
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…
math.DS2026
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…
math.DS2026
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…