Poissonian Pair Correlation for Bernoulli Orbits

Bo Tan, Zhen Zhang, Qing-Long Zhou

Let \(α, β\in \mathbb{T} = \mathbb{R}/\mathbb{Z}\), and let \((ξ_n)_{n \ge 1}\) be independent random variables taking the values \(α\) and \(β\) with equal probability. We study t…