Convergence of Time-Average along Uniformly Behaved in $\mathbb{N}$ Sequences on Every Point

Yunping Jiang, Jessica Liu

We define a uniformly behaved in $\mathbb{N}$ arithmetic sequence $\mathbf{a}$ and an $\mathbf{a}$-mean Lyapunov stable dynamical system $f$. We consider the time-average of a continuou…