On the discrepancy of random subsequences of $\{n\alpha \}$ II

Istvan Berkes, Bence Borda

Let $\alpha$ be an irrational number, let $X_1,X_2,\dots$ be independent, identically distributed, integer-valued random variables, and put $S_k={\sum }_{j=1}^k{X}_j$. Assuming that $X_1…