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The physics of scale-invariant and complex systems is a novel interdisciplinary field. Its ideas allow us to look at natural phenomena in a radically new and original way, eventually leading to unifying concepts independent of the detailed structure of the systems. The objective is the study of complex, scale-invariant, and more general stochastic structures that appear both in space and time in a vast variety of natural phenomena, which exhibit new types of collective behaviors, and the fostering of their understanding. This book has been conceived as a methodological monograph in which the main methods of modern statistical physics for cosmological structures and density fields (galaxies, Cosmic Microwave Background Radiation, etc.) are presented in detail. The main purpose is to present clearly, to a workable level, these methods, with a certain mathematical accuracy, providing also some paradigmatic examples of applications. This should result in a new and more general framework for the statistical analysis of the many new data concerning the different cosmic structures which characterize the large scale Universe and for their theoretical interpretation and modeling.

Cosmology. --- Stars --- Statistical physics. --- Density. --- Physics --- Mathematical statistics --- Astronomy --- Deism --- Metaphysics --- Density of stars --- Astrophysics --- Statistical methods --- Mathematical physics. --- Astronomy. --- Complex Systems. --- Mathematical Methods in Physics. --- Astronomy, Astrophysics and Cosmology. --- Classical and Quantum Gravitation, Relativity Theory. --- Statistical Physics and Dynamical Systems. --- Physical mathematics --- Mathematics --- Dynamical systems. --- Physics. --- Astrophysics. --- Gravitation. --- Field theory (Physics) --- Matter --- Antigravity --- Centrifugal force --- Relativity (Physics) --- Astronomical physics --- Cosmic physics --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics --- Properties

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A country's productive structure and competitiveness are harbingers of growth. Growth is a dynamic process based on capabilities that are difficult to define and measure across countries. This paper uses a global measure of fitness (or complexity-weighted diversity of production) as a method to explore a country's relative growth potential. The analysis finds that there are two types of growth, predictable or laminar, and unpredictable. This classification is used to create a selection mechanism (the Selective Predictability Scheme), defining future growth trajectories for similar countries, and compares projected long-term, five-year forecasts with traditional methods used by the International Monetary Fund. The analysis finds that production structure is a good long-term predictor of growth, with prediction performance falling off for countries not yet in the laminar classification.

Capabilities --- Country Competitiveness --- Diversification --- Economic Complexity --- Growth Potential --- Growth Predictability --- Growth Projections --- Long-Term Forecast --- Productive Structure

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The physics of scale-invariant and complex systems is a novel interdisciplinary field. Its ideas allow us to look at natural phenomena in a radically new and original way, eventually leading to unifying concepts independent of the detailed structure of the systems. The objective is the study of complex, scale-invariant, and more general stochastic structures that appear both in space and time in a vast variety of natural phenomena, which exhibit new types of collective behaviors, and the fostering of their understanding. This book has been conceived as a methodological monograph in which the main methods of modern statistical physics for cosmological structures and density fields (galaxies, Cosmic Microwave Background Radiation, etc.) are presented in detail. The main purpose is to present clearly, to a workable level, these methods, with a certain mathematical accuracy, providing also some paradigmatic examples of applications. This should result in a new and more general framework for the statistical analysis of the many new data concerning the different cosmic structures which characterize the large scale Universe and for their theoretical interpretation and modeling.

Cosmology --- Astrophysics --- Mathematical physics --- Theory of relativity. Unified field theory --- Statistical physics --- astrofysica --- statistiek --- wiskunde --- fysica --- relativiteitstheorie --- kosmologie