关于不具有度量Poissonian对相关序列的一个注记
A note on sequences not having metric Poissonian pair correlations
摘要：
本说明的目的是提出一种序列的结构，该序列不具有度量泊松对相关性（MPPC），并且其加性能量以任意接近阈值的速率增长，在该阈值以下，认为所有序列都具有MPPC。Lachmann和Technau的工作中出现了类似的结果，并使用完全不同的策略证明了这一结果。这里的主要新颖之处在于证明的简单性，我们通过修改布尔甘的结构来达到这一点。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
