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An explanation for the political processes leading to the sudden collapse of empires and states would be useful for understanding both historical and contemporary political events. We seek a general description of state collapse spanning…

物理与社会 · 物理学 2015-06-16 Daniel John Lawson , Neeraj Oak

The development of models to capture large-scale dynamics in human history is one of the core contributions of cliodynamics. Most often, these models are assessed by their predictive capability on some macro-scale and aggregated measure and…

物理与社会 · 物理学 2019-09-23 Jim Madge , Giovanni Colavizza , James Hetherington , Weisi Guo , Alan Wilson

Economic complexity is a powerful tool to estimate the productive capabilities and future growth of modern economies. Little is known of how economic complexity evolves over long periods in history. In this paper, we use archaeological…

物理与社会 · 物理学 2025-08-28 Matteo Mazzamurro , Petra Hermankova , Michele Coscia , Tom Brughmans

Power-law distributions occur in many situations of scientific interest and have significant consequences for our understanding of natural and man-made phenomena. Unfortunately, the detection and characterization of power laws is…

数据分析、统计与概率 · 物理学 2009-11-12 Aaron Clauset , Cosma Rohilla Shalizi , M. E. J. Newman

Time evolution of number of species (genera, families, and others), population of them, and size distribution of present ones and life times are studied in terms of a new model, where population of each genetic taxon increases by a (random)…

种群与进化 · 定量生物学 2007-05-23 Caglar Tuncay

The severity of war, measured by battle deaths, follows a power-law distribution. Here, we demonstrate that power law also holds in the temporal aspects of interstate conflicts. A critical quantity is the inter-conflict interval (ICI), the…

物理与社会 · 物理学 2023-08-23 Hiroshi Okamoto , Iku Yoshimoto , Sota Kato , Budrul Ahsan , Shuji Shinohara

We analyze the database prepared by Brecke (Brecke 2011) for violent conflict, covering some 600 years of human history. After normalizing the data for the global human population, we find that the number of casualties tends to follow a…

应用统计 · 统计学 2019-02-12 Gianluca Martelloni , Francesca Di Patti , Ugo Bardi

The fundamental models of epidemiology describe the progression of an infectious disease through a population using compartmentalized differential equations, but do not incorporate population-level heterogeneity in infection susceptibility.…

Short-time human travel behaviour can be described by a power law with respect to distance. We incorporate this information in space-time models for infectious disease surveillance data to better capture the dynamics of disease spread. Two…

统计方法学 · 统计学 2014-11-25 Sebastian Meyer , Leonhard Held

This paper proposes to proceed from a rather metaphorical application of network terminology on polities and imperial formations of the past to an actual use of tools and concepts of network science. For this purpose, a well established…

物理与社会 · 物理学 2018-09-25 Johannes Preiser-Kapeller

The recent interest in human dynamics has led researchers to investigate the stochastic processes that explain human behaviour in different contexts. Here we propose a generative model to capture the essential dynamics of survival analysis,…

物理与社会 · 物理学 2015-06-18 Trevor Fenner , Mark Levene , George Loizou

Several populational networks present complex topologies when implemented in evolutionary algorithms. A common feature of these topologies is the emergence of a power law. Power law behavior with different scaling factors can also be…

统计计算 · 统计学 2022-03-08 Francisco Leonardo Bezerra Martins , José Cláudio do Nascimento

Power law distributions of macroscopic observables are ubiquitous in both the natural and social sciences. They are indicative of correlated, cooperative phenomena between groups of interacting agents at the microscopic level. In this paper…

凝聚态物理 · 物理学 2009-11-07 P Ormerod , C Mounfield

In this paper I propose a 'mechanism' for the explanation of power-law characteristics of casualty dynamics in inter-state wars, intra-state wars and terrorist attacks: the scale-free physical organization of social systems. Other…

适应与自组织系统 · 物理学 2007-05-23 Ingo Piepers

Many man-made and natural phenomena, including the intensity of earthquakes, population of cities and size of international wars, are believed to follow power-law distributions. The accurate identification of power-law patterns has…

数据分析、统计与概率 · 物理学 2014-04-15 Yogesh Virkar , Aaron Clauset

We develop a ``unified'' model that describes both ``micro'' and ``macro'' evolutions within a single theoretical framework. The eco-system is described as a dynamic network; the population dynamics at each node of this network describes…

统计力学 · 物理学 2013-05-29 Debashish Chowdhury , Dietrich Stauffer , Ambarish Kunwar

Power law or generalized polynomial regressions with unknown real-valued exponents and coefficients, and weakly dependent errors, are considered for observations over time, space or space--time. Consistency and asymptotic normality of…

统计理论 · 数学 2012-05-14 Peter M. Robinson

More than one billion data sampled with different frequencies from several financial instruments were investigated with the aim of testing whether they involve power law. As a result, a known power law with the power exponent around -4 was…

统计金融 · 定量金融 2020-10-06 Caglar Tuncay

Power-law distributions are widely recognized in complex systems physics as indicative of underlying complexity in interaction networks and critical macroscopic behavior. Previous studies, notably those of Newman and others, have emphasized…

物理与社会 · 物理学 2026-05-19 Tommaso Rondini , Gregorio Berselli , Mirko Degli Esposti , Armando Bazzani

Various features of the development of individual living species, including individual humans, are programmed. Is death also programmed, and if yes, how is it implemented and what can be the underlying mechanism providing the inevitability…

混沌动力学 · 物理学 2019-05-23 Mark Edelman
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