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We review models of compositional growth, which were introduced to explain the growth statistics of various quantities ranging from firm sizes to GDP. In these models, entities are decomposed into units that grow independently. Thus, the…

General Economics · Economics 2024-04-12 José Moran , Massimo Riccaboni

Recently, we developed a theory of a geometrically growing system. Here we show that the theory can explain some phenomena of power-law distribution including classical demographic and economic and novel pandemic instances, without…

Physics and Society · Physics 2023-02-28 Kim Chol-jun

It is still common wisdom amongst economists, politicians and lay people that economic growth is a necessity of our social systems, at least to avoid distributional conflicts. This paper challenges such belief moving from a purely physical…

General Economics · Economics 2020-05-11 Angelo Tartaglia

Grain growth is a ubiquitous and fundamental phenomenon observed in the cellular structures with the grain assembly separated by a network of grain boundaries, including metals and ceramics. However, the underlying mechanism of grain growth…

Materials Science · Physics 2021-02-18 Jianfeng Hu , Xianhao Wang , Junzhan Zhang , Zhijian Shen , Jun Luo , Jian Luo

Most models that try to explain economic growth indicate exponential growth paths. In recent years, however, a lively discussion has emerged considering the validity of this notion. In the empirical literature dealing with drivers of…

Economics · Quantitative Finance 2018-03-06 Steffen Lange , Peter Pütz , Thomas Kopp

A new delay equation is introduced to describe the punctuated evolution of complex nonlinear systems. A detailed analytical and numerical investigation provides the classification of all possible types of solutions for the dynamics of a…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 V. I. Yukalov , E. P. Yukalova , D. Sornette

Economic growth is unpredictable unless demand is quantified. We solve this problem by introducing the demand for unpaid spare time and a user quantity named human capacity. It organizes and amplifies spare time required for enjoying…

General Finance · Quantitative Finance 2012-06-13 Hans G. Danielmeyer , Thomas Martinetz

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

Analysis of the urban population fraction data for sixteen populous countries over the last fifty years reveals a universal increase in urbanization, exhibiting four qualitatively distinct temporal patterns: (i) continuously accelerating…

Physics and Society · Physics 2026-01-06 Neeraj Pandey , Abhineet Agarwal , Raju Roychowdhury , Karmeshu , Parth Pratim Pandey

Measures of wealth and production have been found to scale superlinearly with the population of a city. Therefore, it makes economic sense for humans to congregate together in dense settlements. A recent model of population dynamics showed…

Physics and Society · Physics 2016-12-28 James PL Tan

Understanding the statistical dynamics of growth and inequality is a fundamental challenge to ecology and society. Recent analyses of wealth and income dynamics in contemporary societies show that economic inequality is very dynamic and…

Physics and Society · Physics 2022-10-19 Jordan T. Kemp , Luis M. A. Bettencourt

The aim here is to address the origins of sustainability for the real growth rate in the United States. For over a century of observations on the real GDP per capita of the United States a sustainable two percent growth rate has been…

General Finance · Quantitative Finance 2016-08-08 Ali Hosseiny

We introduce a solvable model of randomly growing systems consisting of many independent subunits. Scaling relations and growth rate distributions in the limit of infinite subunits are analysed theoretically. Various types of scaling…

Physics and Society · Physics 2015-06-12 Misako Takayasu , Hayafumi Watanabe , Hideki Takayasu

Ignoring the differences between countries, human reproductive and dispersal behaviors can be described by some standardized models, so whether there is a universal law of population growth hidden in the abundant and unstructured data from…

Physics and Society · Physics 2024-02-08 Jiajun Ma , Qinghua Chen , Xiaosong Chen , Jingfang Fan , Xiaomeng Li , Yi Shi

In the past many papers have appeared which simulated surface growth with different growth models. The results showed that, if models differed only slightly in their `growth' rules, the resulting surfaces may belong to different…

Computational Physics · Physics 2009-10-31 W. E. Hagston , H. Ketterl

The simultaneous growth of multiple microbial species is a problem of fundamental ecological interest. In media containing more than one growth-limiting substrate, multiple species can coexist. The question then arises: Can single-species…

Populations and Evolution · Quantitative Biology 2007-05-23 Atul Narang , Sergei S. Pilyugin

Growth rate of the world Growth Domestic Product (GDP) is analysed to determine possible pathways of the future economic growth. The analysis is based on using the latest data of the World Bank and it reveals that the growth rate between…

General Finance · Quantitative Finance 2015-11-03 Ron W Nielsen

The growth rate of real GDP per capita in the biggest OECD countries is represented as a sum of two components - a steadily decreasing trend and fluctuations related to the change in some specific age population. The long term trend in the…

General Finance · Quantitative Finance 2012-05-28 Ivan Kitov , Oleg Kitov

The contradiction between physical and economical sciences concerning the growth of the production/consumption mechanism is analyzed. It is then shown that if one wishes to keep the security level stable or to enhance it in a growing…

Physics and Society · Physics 2013-12-03 Angelo Tartaglia

We investigate the emergence of synchronization in a network of coupled chaotic macroeconomic systems. Each node represents an economy characterized by three key variables savings, gross domestic product (GDP), and foreign capital inflows.…

Adaptation and Self-Organizing Systems · Physics 2026-05-26 Thierry Njougouo , Fernando Fagundes Ferreira , Diego Garlaschelli