2 papers
math.AP2026
Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications
Son N. T. Tu, Jianlu Zhang, Siyao Zhu
In this paper, we establish quantitative Denjoy--Koksma type estimates for higher-dimensional quasi-periodic torus rotations. For Diophantine frequency vectors, we establish quanti…
math.DS2026
Statistical regularity and linear response of Mather measures for Tonelli Lagrangian systems
Alfonso Sorrentino, Jianlu Zhang, Siyao Zhu
We study the statistical regularity of Mather measures associated with perturbations of a Tonelli Lagrangian. When the unperturbed Mather measure is supported on a quasi-peri…