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Intrinsic computation refers to how dynamical systems store, structure, and transform historical and spatial information. By graphing a measure of structural complexity against a measure of randomness, complexity-entropy diagrams display…

Chaotic Dynamics · Physics 2009-11-13 David P. Feldman , Carl S. McTague , James P. Crutchfield

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…

Physics and Society · Physics 2025-08-28 Matteo Mazzamurro , Petra Hermankova , Michele Coscia , Tom Brughmans

A step to consilience, starting with a deconstruction of the causality of uncertainty that is embedded in the fundamentals of growth and inequality, following a construction of aggregation laws that disclose the invariance principle across…

Probability · Mathematics 2017-05-23 Zhengyuan Gao

The crucial aspect of this demonstration is the discovery of renewal events, hidden in the computed dynamics of a multifractal metronome, which enables the replacement of the phenomenon of strong anticipation with a time delayed…

Adaptation and Self-Organizing Systems · Physics 2017-07-20 Korosh Mahmoodi , Bruce J. West , Paolo Grigolini

The conventional economic approaches explore very little about the dynamics of the economic systems. Since such systems consist of a large number of agents interacting nonlinearly they exhibit the properties of a complex system. Therefore…

General Physics · Physics 2012-04-01 B. G. Sharma , Sadhana Agrawal , Malti Sharma , D. P. Bisen , Ravi Sharma

The concept of multifractality offers a powerful formal tool to filter out multitude of the most relevant characteristics of complex time series. The related studies thus far presented in the scientific literature typically limit themselves…

Statistical Finance · Quantitative Finance 2018-09-25 Stanisław Drożdż , Rafał Kowalski , Paweł Oświȩcimka , Rafał Rak , Robert Gȩbarowski

Recent studies have investigated various dynamic processes characterizing collective behaviors in real-world systems. However, these dynamics have been studied individually in specific contexts. In this article, we present a holistic…

Applied Physics · Physics 2025-01-28 Ming Xie , Shibo He , Aming Li , Zike Zhang , Youxian Sun , Jiming Chen

We develop a machine-learning-based method, Principal Smooth-Dynamics Analysis (PriSDA), to identify patterns in economic development and to automate the development of new theory of economic dynamics. Traditionally, economic growth is…

Physics and Society · Physics 2018-12-11 Charles D. Brummitt , Andres Gomez-Lievano , Ricardo Hausmann , Matthew H. Bonds

Predicting the evolution of a large system of units using its structure of interaction is a fundamental problem in complex system theory. And so is the problem of reconstructing the structure of interaction from temporal observations. Here,…

Statistical Mechanics · Physics 2025-02-10 Charles Murphy , Vincent Thibeault , Antoine Allard , Patrick Desrosiers

Spreadsheets are widely used in industry, even for critical business processes. This implies the need for proper risk assessment in spreadsheets to evaluate the reliability and validity of the spreadsheet's outcome. As related research has…

Software Engineering · Computer Science 2017-04-06 Thomas Reschenhofer , Bernhard Waltl , Klym Shumaiev , Florian Matthes

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…

Physics and Society · Physics 2020-05-21 Juste Raimbault , Eric Denis , Denise Pumain

We introduce a parsimonious multi-sector model of international production and use it to study the impact of a disruption in the production of some goods propagates to other goods and consumers, and how that impact depends on the goods'…

General Economics · Economics 2026-01-16 Matthew L. Elliott , Matthew O. Jackson

Quantifying the evolution and complexity of materials is of importance in many areas of science and engineering, where a central open challenge is developing experimental complexity measurements to distinguish random structures from evolved…

Materials Science · Physics 2025-02-26 Keith Y Patarroyo , Abhishek Sharma , Ian Seet , Ignas Packmore , Sara I. Walker , Leroy Cronin

Biological systems (among others) may respond to a large variety of distinct external stimuli, or signals. These perturbations will generally be presented to the system not singly, but in various combinations, so that a proper understanding…

Quantitative Methods · Quantitative Biology 2011-06-24 Dennis Wylie

Categorization is an essential component for us to understand the world for ourselves and to communicate it collectively. It is therefore important to recognize that classification system are not necessarily static, especially for economic…

Social and Information Networks · Computer Science 2020-09-22 Jaehyuk Park , Morgan R. Frank , Lijun Sun , Hyejin Youn

Poor economies not only produce less; they typically produce things that involve fewer inputs and fewer intermediate steps. Yet the supply chains of poor countries face more frequent disruptions---delivery failures, faulty parts, delays,…

General Finance · Quantitative Finance 2017-09-05 Charles D. Brummitt , Kenan Huremovic , Paolo Pin , Matthew H. Bonds , Fernando Vega-Redondo

We review possible measures of complexity which might in particular be applicable to situations where the complexity seems to arise spontaneously. We point out that not all of them correspond to the intuitive (or "naive") notion, and that…

Data Analysis, Statistics and Probability · Physics 2012-08-20 Peter Grassberger

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

We analyse the unreduced, nonperturbative dynamics of an arbitrary many-body interaction process with the help of the generalised effective potential method and reveal the well-specified universal origin of change (emergence), time and…

General Physics · Physics 2013-10-08 Andrei P. Kirilyuk

Universal and rigorously derived concept of dynamic complexit (physics/9806002) shows that any system of interacting components, including society and civilisation, exists only as a process of highly inhomogeneous, qualitative development…

General Physics · Physics 2007-05-23 Andrei P. Kirilyuk