Spectrum of weighted Birkhoff average
Balázs Bárány, Michał Rams, Ruxi Shi · Studia Mathematica · 2022
Let $\{s_n\}_{n\in \mathbb N}$ be a decreasing nonsummable sequence of positive reals. We investigate the weighted Birkhoff average $\frac {1}{S_n}\sum _{k=0}^{n-1}s_k\phi (T^kx)$ on an aperiodic irreducible subshift $\Sigma _{\bf A}$ of finite type where