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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…

General Finance · Quantitative Finance 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…

Physics and Society · Physics 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,…

Computation and Language · Computer Science 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…

Adaptation and Self-Organizing Systems · Physics 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…

Computer Science and Game Theory · Computer Science 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…

Statistical Mechanics · Physics 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…

Condensed Matter · Physics 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,…

Logic in Computer Science · Computer Science 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…

Logic in Computer Science · Computer Science 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,…

Statistical Mechanics · Physics 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…

Cosmology and Nongalactic Astrophysics · Physics 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 · Physics 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…

Statistical Mechanics · Physics 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…

Artificial Intelligence · Computer Science 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…

Dynamical Systems · Mathematics 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…

Physics and Society · Physics 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…

Statistical Mechanics · Physics 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…

General Finance · Quantitative Finance 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…

Popular Physics · Physics 2015-12-17 Eric J. Chaisson