Weighted ergodic averages along subpolynomials in Hardy fields and applications

Vitaly Bergelson, Sovanlal Mondal, Younghwan Son

We establish new pointwise convergence results for weighted ergodic averages along sequences of the form \( (\lfloor a(n) \rfloor)_{n \in \mathbb{N}}, \) where $a(x)$ is a subpolyn…