语言、城市及其寿命的通用模型
A universal model for languages and cities, and their lifetimes
摘要：
现代人类语言的规模呈现出略微不对称的对数正态（高斯）分布[1-3]，而现代城市则遵循幂律（帕累托-齐普夫定律）[4]。我们的模型考虑了语言之间的竞争和城市之间的竞争，包括增长（乘性噪声过程）[5]和碎片化[6];其中，语言和城市的相关参数（自然）不同。我们考虑的寿命分布的古老和生活的语言和古老和生活的城市。我们还研究了随机消除（标点符号）在语言和城市的时间演变的影响。最后，我们假设城市的大小与独立的随机振幅和随机（负）指数的指数递减分布，并表明，这给出了帕累托-齐普夫定律。
英文摘要：
Present human languages display slightly asymmetric log-normal (Gauss) distribution for size [1-3], whereas present cities follow power law (Pareto-Zipf law)[4]. Our model considers the competition between languages and that between cities in terms of growing (multiplicative noise process)[5] and fragmentation [6]; where, relevant parameters are (naturally) different for languages and cities. We consider lifetime distribution for old and living languages and that for old and living cities. We study also the effect of random elimination (punctuation) within time evolution of languages and cities. Finally, we assume decreasing exponential distribution for cities over size with independent random amplitude and random (negative) exponent; and show that, this gives the Pareto-Zipf law.
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。
