Pointwise Convergence of Ergodic Averages Along Integer Cantor Sets

Félix Brokering Pinilla, Alex Iosevich, Ben Krause

Let $d\ge 3$, \[ D \subsetneq \{ 0,1,\dots,d-1\}, \qquad |D| \geq 2, \ 0 \in D \] be a finite alphabet, and define the integer Cantor set \begin{align} \mathcal{C} := \mathcal{C}…