Sovanlal Mondal

Weighted ergodic averages along subpolynomials in Hardy fields and applications

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 subpolynomial function in a Hardy field. For example, we establish pointwise convergence of logarithmic averages along sequences of the form $(\lflo...