Sós Permutations

Sarah Bockting-Conrad, Yevgenia Kashina, T. Kyle Petersen +1

Let $f(x)=\alpha x+\beta \mathrm{mod}1$ for fixed real parameters $\alpha$ and $\beta$. For any positive integer $n$, define the Sós permutation $\pi$ to be the lexicographically first permutation such tha…