Optimal lower bounds for multiple recurrence

Sebastián Donoso, Anh N. Le, Joel Moreira +1

Let $(X,\mathcal{B},\mu ,T)$ be an ergodic measure preserving system, $A\in \mathcal{B}$ and $\epsilon >0$. We study the largeness of sets of the form \begin{equation*} \begin{split} S = \l…