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Recently, computational modelling became a very important research tool that enables us to study problems that for decades evaded scientific analysis. Evolutionary systems are certainly examples of such problems: they are composed of many…

种群与进化 · 定量生物学 2009-07-04 Adam Lipowski , Dorota Lipowska

Statistical studies of languages have focused on the rank-frequency distribution of words. Instead, we introduce here a measure of how word ranks change in time and call this distribution \emph{rank diversity}. We calculate this diversity…

计算与语言 · 计算机科学 2015-05-15 Germinal Cocho , Jorge Flores , Carlos Gershenson , Carlos Pineda , Sergio Sánchez

Two models of binary fragmentation are introduced in which a time dependent transition size produces two regions of fragment sizes above and below the transition size. In the models we consider a fixed rate of fragmentation for the largest…

统计力学 · 物理学 2009-10-31 Z. Tavassoli , A. Esmaeilnia Shirvani

The current science of cities can provide a useful foundation for future urban policies, provided that these proposals have been validated by correct observations of the diversity of situations in the world. However, international…

物理与社会 · 物理学 2020-05-21 Juste Raimbault , Eric Denis , Denise Pumain

The share of the world population living in cities with more than one million people rose from 11% in 1975 to 24% in 2025 (our estimates). Will this trend towards greater concentration in large cities continue or level off? We introduce two…

物理与社会 · 物理学 2026-03-31 Andrea Musso , Diego Rybski , Dirk Helbing , Frank Neffke

As early indicated by Charles Darwin, languages behave and change very much like living species. They display high diversity, differentiate in space and time, emerge and disappear. A large body of literature has explored the role of…

种群与进化 · 定量生物学 2010-04-27 Ricard V. Solé , Bernat Corominas-Murtra , Jordi Fortuny

A model based on first-degree family relations network is used to describe the wealth distribution in societies. The network structure is not a-priori introduced in the model, it is generated in parallel with the wealth values through…

其他凝聚态物理 · 物理学 2009-11-10 R. Coelho , Z. Neda , J. J. Ramasco , M. A. Santos

Interpretation of empirical results based on a taxa's lifetime distribution shows apparently conflicting results. Species' lifetime is reported to be exponentially distributed, whereas higher order taxa, such as families or genera, follow a…

种群与进化 · 定量生物学 2009-11-11 S. Pigolotti , A. Flammini , M. Marsili , A. Maritan

Zipf's law describes the empirical size distribution of the components of many systems in natural and social sciences and humanities. We show, by solving a statistical model, that Zipf's law co-occurs with the maximization of the diversity…

We study rank-size distribution of cities in Japan on the basis of data analysis. From the census data after World War II, we find that the rank-size distribution of cities is composed of two parts, each of which has independent power…

数据分析、统计与概率 · 物理学 2009-11-13 Hiroto Kuninaka , Mitsugu Matsushita

There has been a long history of research into the structure and evolution of mankind's scientific endeavor. However, recent progress in applying the tools of science to understand science itself has been unprecedented because only recently…

统计力学 · 物理学 2009-11-10 Katy Börner , Jeegar T. Maru , Robert L. Goldstone

Quantifying the spatial organization of human settlements is fundamental to understanding the complexity of urban systems. However, the quantitative patterns of the distribution of villages, towns, and cities that lie between random and…

物理与社会 · 物理学 2023-07-06 Lei Dong

Linguistic disparity in the NLP world is a problem that has been widely acknowledged recently. However, different facets of this problem, or the reasons behind this disparity are seldom discussed within the NLP community. This paper…

计算与语言 · 计算机科学 2022-10-21 Surangika Ranathunga , Nisansa de Silva

We present a general approach to explain the Zipf's law of city distribution. If the simplest interaction (pairwise) is assumed, individuals tend to form cities in agreement with the well-known statistics

统计力学 · 物理学 2009-10-31 Matteo Marsili , Yi-Cheng Zhang

This paper introduces how human languages can be studied in light of recent development of network theories. There are two directions of exploration. One is to study networks existing in the language system. Various lexical networks can be…

计算与语言 · 计算机科学 2007-05-23 Jinyun KE

Cities are often compared through scaling laws, usually expressed as power-law relations between population size and aggregate urban quantities related to infrastructure, socioeconomic activity, or environmental impacts. These laws are…

物理与社会 · 物理学 2026-05-19 Ulysse Marquis , Marc Barthelemy

Cities are living organisms. They are out of equilibrium, open systems that never stop developing and sometimes die. The local geography can be compared to a shell constraining its development. In brief, a city's current layout is a step in…

适应与自组织系统 · 物理学 2015-05-20 Thomas Courtat , Catherine Gloaguen , Stephane Douady

Although cumulative family name distributions in many countries exhibit power-law forms, there also exist counterexamples. The origin of different family name distributions across countries is discussed analytically in the framework of a…

物理与社会 · 物理学 2008-07-15 Seung Ki Baek , Hoang Anh Tuan Kiet , Beom Jun Kim

Usually, the study of city population distribution has been reduced to power laws. In such analysis, a common practice is to consider cities with more than one hundred thousand inhabitants. Here, we argue that the distribution of cities for…

统计力学 · 物理学 2009-11-07 L. C. Malacarne , R. S. Mendes , E. K. Lenzi

A mathematical model of interacting species filling ecological niches left by the extinction of others is introduced. Species organize themselves into genera of all sizes. The size of a genus on average grows linearly with its age,…

凝聚态物理 · 物理学 2008-02-03 Susanna Manrubia , Maya Paczuski