AI 中文总结
该研究基于美法百年官方人名数据集，用洛伦兹、帕累托曲线及瑞利-金斯热化理论分析人名分布，发现其基尼系数稳定于0.85-0.95区间，20世纪中叶后人名时间相关性发生显著变化。
AI 中文摘要
利用美国和法国的官方政府数据集，我们分析了过去100多年间人名的出现频率与流行度分布。这些分布通过洛伦兹曲线和帕累托曲线表征，这两种曲线广泛用于全球财富不平等分析；在研究的时间范围内，这些曲线保持稳定，基尼系数始终处于0.85至0.95的狭窄区间内。与财富不平等的情况类似，我们证明人名的分布可由瑞利-金斯（Rayleigh-Jeans, RJ）热化及凝聚现象很好地描述，该现象在多种物理系统中已被深入研究。瑞利-金斯热化源于两个运动积分，类似于物理系统中能量和概率范数的守恒，其中能量态对应人名的流行度水平。我们还确定了人名之间的时间相关性，显示其在20世纪中叶前保持稳定，此后发生显著变化。
英文摘要
Using official government data sets of USA and France we analyze the occurrence/frequency/popularity distributions of given names on a time scale of more than 100 years. These distributions are characterized through the Lorenz and Pareto curves broadly used in the analysis of wealth inequality in the world. These curves remain stable during the considered time period with the Gini coefficient remaining in the narrow range 0.85-0.95. As for the case of wealth inequality, we show that the distributions of names are well described by the Rayleigh-Jeans (RJ) thermalization and condensation phenomenon well studied in various physical systems. The RJ thermalization results from two integrals of motion being analogous to energy and probability norm conservation in physical systems with energy states corresponding to popularity levels of names. Time correlations between names are also determined showing their stability until the middle of the twentieth century and a significant change after that.
Comments11 pages, 17 figures, links to arXiv:2512.06420, arXiv:2506.17720, arXiv:2606.17965, arXiv:2607.07315, arXiv:2607.15119
