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This paper presents a general theory that aims at explaining timescales observed empirically in technology transitions and predicting those of future transitions. This framework is used further to derive a theory for exploring the dynamics…

Dynamical Systems · Mathematics 2013-04-16 Jean-Francois Mercure

In a recent series of papers, we proposed a mathematical model for the dynamics of a group of interacting pedestrians. The model is based on a non-Newtonian potential, that accounts for the need of pedestrians to keep both their interacting…

Physics and Society · Physics 2017-02-13 Francesco Zanlungo , Zeynep Yucel , Takayuki Kanda

A recent study [D. Helbing, A. Johansson and H. Z. Al-Abideen, {\it Phys. Rev. E} 75, 046109 (2007)] has revealed a "turbulent" state of pedestrian flows, which is characterized by sudden displacements and causes the falling and trampling…

Physics and Society · Physics 2009-11-13 Wenjian Yu , Anders Johansson

Economic growth is measured as the rate of relative change in gross domestic product (GDP) per capita. Yet, when incomes follow random multiplicative growth, the ensemble-average (GDP per capita) growth rate is higher than the time-average…

General Economics · Economics 2020-09-23 Alexander Adamou , Yonatan Berman , Ole Peters

The concept of power can be explored at several scales: from physical action and process effectuation, all the way to complex social dynamics. A spectrum-wide analysis of power requires attention to the fundamental principles that constrain…

Physics and Society · Physics 2025-02-06 Mahault Albarracin , Sonia de Jager , David Hyland , Sarah Grace Manski

A new approach to the understanding of sociological collective behaviour, based on the framework of critical phenomena in physics, is presented. The first step consists of constructing a simple mean-behaviour model and applying it to a…

Physics and Society · Physics 2022-11-15 Serge Galam , Yuval Gefen , Yonathan Shapir

Human society is an open system that evolves by coupling with various known and unknown (energy) fluxes. How do these dynamics precisely unfold? Energetics may provide further insights. We expand on Navier Stokes' approach to study…

Physics and Society · Physics 2019-04-10 Ram C. Poudel , Jon G. McGowan

A simple heuristic model, including the multiple exchanges between economic agents, is used to explain the mechanism of emerging and maintenance of social inequality in the market economy. The model allows calculating a density function of…

Biological Physics · Physics 2023-03-16 Vladimir Pokrovskii

Religions are among the most consequential social institutions, shaping collective identities, moral norms, and political organization across societies and historical periods. Nevertheless, despite extensive scholarship describing…

Physics and Society · Physics 2026-01-19 Bilge Taskin , Teddy Lazebnik

We introduce the simplest model which relates the emergence of collective social/economic phenomena to the existence of a (possibly self-organized) percolation transition. We suggest a series of extensions to financial, economic, political…

adap-org · Physics 2009-10-31 Sorin Solomon , Gerard Weisbuch

We investigate the computational structure of a paradigmatic example of distributed social interaction: that of the open-source Wikipedia community. We examine the statistical properties of its cooperative behavior, and perform model…

Social and Information Networks · Computer Science 2013-10-14 Simon DeDeo

Heterogeneity of economic agents is emphasized in a new trend of macroeconomics. Accordingly the new emerging discipline requires one to replace the production function, one of key ideas in the conventional economics, by an alternative…

General Finance · Quantitative Finance 2010-11-23 H. Iyetomi , H. Aoyama , Y. Fujiwara , Y. Ikeda , W. Souma

In this work we consider time reversal of the increasing geometrical progression of the population of a simple biological species without any enemies (predators) in the appropriate environment with unlimited resources (food, territory,…

Populations and Evolution · Quantitative Biology 2007-05-23 Vladan Pankovic , Rade Glavatovic , Milan Predojevic

Our computational economic analysis investigates the relationship between inequality, mobility and the financial accumulation process. Extending the baseline model by Levy et al., we characterise the economic process through stylised return…

General Economics · Economics 2020-02-20 Simone Righi , Yuri Biondi

A consistent classical and quantum relativistic mechanics can be constructed if Einstein's covariant time is considered as a dynamical variable. The evolution of a system is then parametrized by a universal invariant identified with…

High Energy Physics - Phenomenology · Physics 2007-05-23 Lawrence P. Horwitz

To address the observation of Max Born (M. Born 1969) that the Newton's second law can emerge from a purely statistical perspective, we derive the evolution equation about the statistical distribution for dilute gas based solely on…

Statistical Mechanics · Physics 2024-10-23 Hong Yuan , Chang-Pu Sun

Classical technical analysis methods of stock evolution are recalled, i.e. the notion of moving averages and momentum indicators. The moving averages lead to define death and gold crosses, resistance and support lines. Momentum indicators…

Condensed Matter · Physics 2009-11-07 M. Ausloos , K. Ivanova

Many studies in Economics and other disciplines have been reporting distributions following power-law behavior (i.e distributions of incomes (Pareto's law), city sizes (Zipf's law), frequencies of words in long sequences of text etc.)[1, 6,…

Mathematical Physics · Physics 2008-12-10 Francesco Vallone

Social mobilization often fails not for a lack of collective interest, but because of fierce competition between rival movements for the same limited pool of participants. We generalize the classic threshold model of collective behavior to…

Physics and Society · Physics 2026-05-14 Bianca Y. S. Ishikawa , José F. Fontanari

A heuristic generalization of the Boltzmann-Gibbs microcanonical entropy is proposed, able to describe meta-equilibrium features and evolution of macroscopic systems. Despite its simple-minded derivation, such a function of "collective…

Statistical Mechanics · Physics 2007-05-23 Piero Cipriani
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