论文标题
关于没有公式泊松对的序列的注释
A note on sequences not having metric Poissonian pair correlations
论文作者
论文摘要
本说明的目的是提出一个没有公制泊松对相关性（MPPC）的序列的结构，其添加能以任意接近阈值的速率增长，以至于所有序列都认为所有序列都有MPPC。 Lachmann和Technau的工作中也出现了类似的结果，并使用完全不同的策略证明了结果。这里的主要新颖性是证明的简单性，我们通过修改波尔加因的构造来获得证明。
The purpose of this note is to present a construction of sequences which do not have metric Poissonian pair correlations (MPPC) and whose additive energies grow at rates that come arbitrarily close to a threshold below which it is believed that all sequences have MPPC. A similar result appears in work of Lachmann and Technau and is proved using a totally different strategy. The main novelty here is the simplicity of the proof, which we arrive at by modifying a construction of Bourgain.
