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math.DS2024★ 5 cited
Quantitative uniform exponential acceleration of averages along decaying waves
Zhicheng Tong, Yong Li
In this study, utilizing a specific exponential weighting function, we investigate the uniform exponential convergence of weighted Birkhoff averages along decaying waves and delve…
math.DS2024★ 1 cited
Weighted multiple ergodic averages via analytic observables over : Is exponential pointwise convergence universal?
Zhicheng Tong, Yong Li
By employing an accelerated weighting method, we establish arbitrary polynomial and exponential pointwise convergence for multiple ergodic averages under general balancing conditio…
math.DS2024
Full-dimensional KAM torus with frequency-preserving in infinite-dimensional Hamiltonian systems
Zhicheng Tong, Yong Li
In this paper, we present two infinite-dimensional KAM theorems with frequency-preserving for a nonresonant frequency of Diophantine type or even weaker. To be more precise, under…