Dialectal tsunamis emerging from the Simmel effect: a statistical approach to the snail-paced spread of cultural epidemic

IF 1.9 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Frontiers in Physics Pub Date : 2024-09-04 DOI:10.3389/fphy.2024.1425907
Kazuya Hayata
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Abstract

An attempt is made to settle the controversy on a theory of the concentric distribution of dialectal variants for snails. This theory was presented in 1927 by Kunio Yanagita (1875–1962), outstanding Japanese folklorist. Over more than 95 years, however, its verification remains pending. On the basis of the recent achievement in the linguistic atlas project, time series analysis is made for fitting to the long-tailed rank-frequency relations of cumulative syllabics that are included in the entire dialect sequence of snails. The time reversal asymmetry (TRA) is revealed through comparison between the forward and backward analysis. The validity of the methodology is confirmed through comparison with results for several examples. Computed results show substantial TRAs between the periphery-to-center and center-to-periphery analysis for fitting to the long-tailed distribution in the cumulative frequency versus rank. This feature for the categorial data sequence is consistent with those observed for typical numerical data such as music and heartbeat signals that obey non-Gaussian statistics. Application to the most parsimonious principle yields results being compatible with the above ones, which reproduces the validity of our conclusion. Finally, perturbation analysis is made for several artificially disturbed arrangements of the dialectal strata.
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西美尔效应引发的方言海啸:用统计学方法研究文化流行病的蜗牛式传播
本文试图解决关于蜗牛方言变体同心分布理论的争议。这一理论由日本杰出的民俗学家柳田邦夫(1875-1962 年)于 1927 年提出。然而,95 年多来,该理论仍未得到验证。在语言图谱项目最新成果的基础上,我们对蜗牛整个方言序列中包含的累积音节的长尾等级频率关系进行了时间序列分析。通过正向和反向分析的比较,揭示了时间反向不对称(TRA)。通过与几个例子的结果进行比较,证实了该方法的有效性。计算结果显示,外围到中心的分析和中心到外围的分析在拟合累积频率与等级的长尾分布时存在很大的 TRA。分类数据序列的这一特征与典型数字数据(如音乐和心跳信号)中观察到的非高斯统计特征一致。应用最简原理得出的结果与上述结果一致,这再现了我们结论的正确性。最后,我们对几种人为干扰的方言地层排列进行了扰动分析。
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来源期刊
Frontiers in Physics
Frontiers in Physics Mathematics-Mathematical Physics
CiteScore
4.50
自引率
6.50%
发文量
1215
审稿时长
12 weeks
期刊介绍: Frontiers in Physics publishes rigorously peer-reviewed research across the entire field, from experimental, to computational and theoretical physics. This multidisciplinary open-access journal is at the forefront of disseminating and communicating scientific knowledge and impactful discoveries to researchers, academics, engineers and the public worldwide.
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