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Innovation and obsolescence describe the dynamics of ever-churning social and biological systems, from the development of economic markets to scientific and technological progress to biological evolution. They have been widely discussed,…

For those concerned with the long-term value of their accounts, it can be a challenge to plan in the present for inflation-adjusted economic growth over coming decades. Here, I argue that there exists an economic constant that carries…

综合金融 · 定量金融 2012-11-14 Timothy J. Garrett

The stability analysis of socioeconomic systems has been centered on answering whether small perturbations when a system is in a given quantitative state will push the system permanently to a different quantitative state. However, typically…

物理与社会 · 物理学 2014-09-01 Serguei Saavedra , Rudolf P. Rohr , Luis J. Gilarranz , Jordi Bascompte

In this paper, we do three kinds of work. First, we recognize four notions of necessity and two notions of possibility related to time flow, namely strong/weak historical/temporal necessities, as well as historical/temporal possibilities,…

计算与语言 · 计算机科学 2025-11-18 Fengkui Ju , Woxuan Zhou

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

We consider a simple variant of the von Neumann model of an expanding economy, in which multiple producers make goods according to their production function. The players trade their goods at the market and then use the bundles acquired for…

计算机科学与博弈论 · 计算机科学 2019-09-27 Simina Brânzei , Ruta Mehta , Noam Nisan

The dynamics based on information transfer is proposed as an underlying mechanism for the scale-invariant dynamic critical behavior observed in a variety of systems. We apply the dynamics to the globally-coupled Ising model, which is…

统计力学 · 物理学 2009-11-10 M. Y. Choi , B. J. Kim , B. -G. Yoon , H. Park

The dynamics of ``vicious'', continuously growing civilizations (domains), which engage in ``war'' whenever two domains meet, is investigated. In the war event, the smaller domain is annihilated, while the larger domain is reduced in size…

凝聚态物理 · 物理学 2009-10-28 I. Ispolatov , P. L. Krapivsky , S. Redner

This paper surveys main and recent studies on temporal logics in a broad sense by presenting various logic systems, dealing with various time structures, and discussing important features, such as decidability (or undecidability) results,…

计算机科学中的逻辑 · 计算机科学 2013-08-06 Savas Konur

We introduce a temporal logic to reason on global applications in an asynchronous setting. First, we define the Distributed States Logic (DSL), a modal logic for localities that embeds the local theories of each component into a theory of…

计算机科学中的逻辑 · 计算机科学 2016-08-31 Carlo Montangero , Laura Semini

We propose a general scenario to analyze social and economic changes in modern environments. We illustrate the ideas with a model that incorporating the main trends is simple enough to extract analytical results and, at the same time,…

统计力学 · 物理学 2009-10-31 A. Arenas , A. Diaz-Guilera , C. J. Perez , F. Vega-Redondo

The arrow of time and the accelerated expansion are two fundamental empirical facts of the Universe. We advance the viewpoint that the dark energy (positive cosmological constant) accelerating the expansion of the Universe also supports the…

宇宙学与河外天体物理 · 物理学 2016-05-20 A. E. Allahverdyan , V. G. Gurzadyan

A dynamical systems scenario for developmental cell biology is proposed, based on numerical studies of a system with interacting units with internal dynamics and reproduction. Diversification, formation of discrete and recursive types, and…

chao-dyn · 物理学 2009-10-31 Kunihiko Kaneko , Chikara Furusawa

We develop a theory for the emergence of global firings in non-identical excitable systems subject to noise. Three different dynamical regimes arise: sub-threshold motion, where all elements remain confined near the fixed point; coherent…

统计力学 · 物理学 2009-05-27 C. J. Tessone , A. Scire , R. Toral , P. Colet

In the context of abstract argumentation, we present the benefits of considering temporality, i.e. the order in which arguments are enunciated, as well as causality. We propose a formal method to rewrite the concepts of acyclic abstract…

人工智能 · 计算机科学 2024-02-07 Y. Munro , C. Sarmiento , I. Bloch , G. Bourgne , M. -J. Lesot

There are many natural, physical, and biological systems that exhibit multiple time scales. For example, the dynamics of a population of ticks can be described in continuous time during their individual life cycle yet discrete time is used…

动力系统 · 数学 2009-07-10 Raquel M. Lopez , Sergei K. Suslov , Erika T. Camacho

Increasing evidence suggests that cities are complex systems, with structural and dynamical features responsible for a broad spectrum of emerging phenomena. Here we use a unique data set of human flows and couple it with information on the…

物理与社会 · 物理学 2021-01-22 Riccardo Gallotti , Giulia Bertagnolli , Manlio De Domenico

We present a simple two-dimensional dynamical system where two nonlinear terms, exerting respectively positive feedback and reversal, compete to create a singularity in finite time decorated by accelerating oscillations. The power law…

统计力学 · 物理学 2009-11-07 K. D. Ide , D. Sornette

For Adam Smith, wealth was related to the division of labor. As people and firms specialize in different activities, economic efficiency increases, suggesting that development is associated with an increase in the number of individual…

综合金融 · 定量金融 2009-09-23 Cesar A. Hidalgo , Ricardo Hausmann

Nature's many complex systems--physical, biological, and cultural--are islands of low-entropy order within increasingly disordered seas of surrounding, high-entropy chaos. Energy is a principal facilitator of the rising complexity of all…

科普物理 · 物理学 2015-12-17 Eric J. Chaisson