Rigoberto Zelada

Polynomial maps which are not good for nice recurrence and applications

Let $\mathbb F_2$ be the finite field with two elements and let $\mathbb F_2^\omega$ denote the countably infinite-dimensional vector space over $\mathbb F_2$. We show that, unlike the case of polynomial maps $p:\mathbb Z\rightarrow\mathbb Z$ vanishing at zero which are always good for nice recurrence, there are polyno...