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The interaction of all mobile species with their environment hinges on their movement patterns: the places they visit and how frequently they go there. In human society, where the prevalent form of cohabitation is in cities, the highly…

物理与社会 · 物理学 2020-02-17 Markus Schläpfer , Michael Szell , Hadrien Salat , Carlo Ratti , Geoffrey B. West

The power law is useful in describing count phenomena such as network degrees and word frequencies. With a single parameter, it captures the main feature that the frequencies are linear on the log-log scale. Nevertheless, there have been…

应用统计 · 统计学 2024-07-24 Clement Lee , Emma Eastoe , Aiden Farrell

Cultural diversity encoded within languages of the world is at risk, as many languages have become endangered in the last decades in a context of growing globalization. To preserve this diversity, it is first necessary to understand what…

物理与社会 · 物理学 2022-10-10 Thomas Louf , David Sanchez , Jose J. Ramasco

We consider a language together with the subword relation, the cover relation, and regular predicates. For such structures, we consider the extension of first-order logic by threshold- and modulo-counting quantifiers. Depending on the…

形式语言与自动机理论 · 计算机科学 2019-01-09 Dietrich Kuske , Georg Zetzsche

Economy is demanding new models, able to understand and predict the evolution of markets. To this respect, Econophysics is offering models of markets as complex systems, such as the gas-like model, able to predict money distributions…

混沌动力学 · 物理学 2010-08-05 Carmen Pellicer-Lostao , Ricardo Lopez-Ruiz

The bit-string model of Schulze and Stauffer (2005) is applied to non-equilibrium situations and then gives better agreement with the empirical distribution of language sizes. Here the size is the number of people having this language as…

物理与社会 · 物理学 2009-11-11 D. Stauffer , C. Schulze , F. W. S. Lima , S. Wichmann , S. Solomon

Understanding the morphology of an urban system is an important step toward unveiling the dynamical processes of its growth and development. At the foundation of every urban system, transportation system is undeniably a crucial component in…

City-size distributions follow an approximate power law in various countries despite high volatility in relative city sizes over time. Our empirical evidence for the United States and Japan indicates that the scaling law stems from a…

综合经济学 · 经济学 2023-04-25 Tomoya Mori , Takashi Akamatsu , Yuki Takayama , Minoru Osawa

This paper studies the evolution of the distribution of opinions in a population of individuals in which there exist two distinct subgroups of highly-committed, well-connected opinion leaders endowed with a strong convincing power. Each…

适应与自组织系统 · 物理学 2009-11-13 Nino Boccara

We show that there is a common mode of origin for the power laws observed in two different models: (i) the Pareto law for the distribution of money among the agents with random saving propensities in an ideal gas-like market model and (ii)…

物理与社会 · 物理学 2009-11-11 Pratip Bhattacharyya , Arnab Chatterjee , Bikas K Chakrabarti

We extract the individual names of persons mentioned in news reports from a Philippine-based daily in the English language from 2010-2012. Names are extracted using a learning algorithm that filters adjacent capitalized words and runs it…

物理与社会 · 物理学 2015-07-10 Abigail Mae C. Jayin , Rene C. Batac

The quest for a theory of cities that could offer a quantitative and systematic approach to manage cities is at the top priority, given the challenges humanity faces due to the increasing urbanization and densification of cities. If such a…

物理与社会 · 物理学 2021-11-17 Fabiano L. Ribeiro , Diego Rybski

Entities involve important concepts with concrete meanings and play important roles in numerous linguistic tasks. Entities have different forms in different linguistic tasks and researchers treat those different forms as different concepts.…

计算与语言 · 计算机科学 2023-08-31 Xiaoshi Zhong , Xiang Yu , Erik Cambria , Jagath C. Rajapakse

We consider a version of D. Price's model for the growth of a bibliographic network, where in each iteration a constant number of citations is randomly allocated according to a weighted combination of accidental (uniformly distributed) and…

物理与社会 · 物理学 2022-08-31 Grzegorz Siudem , Przemysław Nowak , Marek Gagolewski

Zipf's law is a paradigm describing the importance of different elements in communication systems, especially in linguistics. Despite the complexity of the hierarchical structure of language, music has in some sense an even more complex…

物理与社会 · 物理学 2023-11-20 Marc Serra-Peralta , Joan Serrà , Álvaro Corral

A stochastic model for the evolution of a growing population is proposed, in order to explain empirical power-law distributions in the frequency of family names as a function of the family size. Preliminary results show that the predicted…

适应与自组织系统 · 物理学 2009-10-31 Damian H. Zanette , Susanna C. Manrubia

Zipf's law of abbreviation, the tendency of more frequent words to be shorter, is one of the most solid candidates for a linguistic universal, in the sense that it has the potential for being exceptionless or with a number of exceptions…

Growth patterns of complex systems predict how they change in sizes, numbers, masses, etc. Understanding growth is important, especially for many biological, ecological, urban, and socioeconomic systems. One noteworthy growth behavior is…

物理与社会 · 物理学 2022-06-07 Jinkui Zhao

Recent work interprets the linear recoverability of geographic and temporal variables from large language model (LLM) hidden states as evidence for world-like internal representations. We test a simpler possibility: that much of the…

计算与语言 · 计算机科学 2026-03-05 Elan Barenholtz

Scaling properties of language are a useful tool for understanding generative processes in texts. We investigate the scaling relations in citywise Twitter corpora coming from the Metropolitan and Micropolitan Statistical Areas of the United…

物理与社会 · 物理学 2019-03-12 Eszter Bokányi , Dániel Kondor , Gábor Vattay
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