Zhicheng Tong

Exponential convergence can happen in weighted Birkhoff averages via quasi‐periodicity with arbitrary nonresonance and low regularity

Abstract Since Krengel's work [Monatsh. Math. 86 (1978/79), 3–6] in 1978, it has been widely known that no effective rate of convergence exists in the ergodic theorem. For toral translations, however, by choosing appropriate weights one can accelerate the convergence of ergodic a...