网络异质性和图灵机制驱动的语言进化
Linguistic evolution driven by network heterogeneity and the Turing mechanism
摘要：
鉴于语言流行的快速发展，世界上大多数现有语言正在消亡，而采用相对较少的语言，这种现象背后的因素一直是积极研究的主题。大多数的方法调查的时间演变的两个竞争的语言的形式微分方程描述他们的行为在大规模。相比之下，很少有人考虑问题的空间方面。此外，虽然人们把注意力集中在语言转换现象上-采用多数人的语言代替少数人的语言-但相对较少注意语言共存，即两种或两种以上的语言在地理上相邻的地区持续存在。在这里，我们研究的地理成分的语言传播在一个离散的介质，以监测语言物种的传播在微观水平。语言动力学是通过一个反应扩散系统，发生在一个异质网络的接触基于城市中心之间的人口流动。我们表明，我们的框架准确地再现了经验语言学的趋势，由图灵不稳定性，适用于许多自然系统的自发模式形成机制，接触网络的异质性，以及人们如何感知语言的状态的不对称性的组合驱动。我们证明了我们制定的两个数据集对应的语言共存在西班牙北部和奥地利南部的鲁棒性。
英文摘要：
Given the rapidly evolving landscape of linguistic prevalence, whereby a majority of the world's existing languages are dying out in favor of the adoption of a comparatively fewer set of languages, the factors behind this phenomenon has been the subject of vigorous research. The majority of approaches investigate the temporal evolution of two competing languages in the form of differential equations describing their behavior at large scale. In contrast, relatively few consider the spatial dimension of the problem. Furthermore while much attention has focused on the phenomena of language shift---the adoption of majority languages in lieu of minority ones---relatively less light has been shed on linguistic coexistence, where two or more languages persist in a geographically contiguous region. Here, we study the geographical component of language spread on a discrete medium to monitor the dispersal of language species at a microscopic level. Language dynamics is modeled through a reaction-diffusion system that occurs on a heterogeneous network of contacts based on population flows between urban centers. We show that our framework accurately reproduces empirical linguistic trends driven by a combination of the Turing instability, a mechanism for spontaneous pattern-formation applicable to many natural systems, the heterogeneity of the contact network, and the asymmetries in how people perceive the status of a language. We demonstrate the robustness of our formulation on two datasets corresponding to linguistic coexistence in northern Spain and southern Austria.
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。
