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Concepts used in the scientific study of complex systems have become so widespread that their use and abuse has led to ambiguity and confusion in their meaning. In this paper we use information theory to provide abstract and concise…

Information Theory · Computer Science 2012-11-16 Carlos Gershenson , Nelson Fernandez

The description of the tempo-spatial evolution of the composition of cosmic gas on galactic scales is called 'modelling galactic chemical evolution'. It aims to use knowledge about sources of nucleosynthesis and how they change the…

Astrophysics of Galaxies · Physics 2023-10-25 Roland Diehl , Nikos Prantzos

The initial conditions of our Universe can be summarized on a single sheet of paper. Yet the Universe is full of complex structures today, such as stars, galaxies and groups of galaxies. In this review I describe the standard theoretical…

Astrophysics · Physics 2008-04-16 Abraham Loeb

This paper offers an original theoretical framework to quantify the information content associated with cosmological structure formation. By taking into account the growth in perturbations for the matter density field, we are able to…

Cosmology and Nongalactic Astrophysics · Physics 2024-08-28 Suman Sarkar

This article reviews the prevailing paradigm for how galaxies and larger structures formed in the universe: gravitational instability. Basic observational facts are summarized to motivate the standard cosmological framework underlying most…

Astrophysics · Physics 2009-10-22 Edmund Bertschinger

Surveys of galaxy clusters provide a promising method of testing models of structure formation in the universe. Within the context of our standard structure formation scenario, surveys provide measurements of the geometry of the universe…

Astrophysics · Physics 2007-05-23 Joseph J. Mohr

Gravitational-collapse-based explanations of the cosmic web lead to problems in estimating the total mass in the universe. A first-principles several-scales model is developed here for the structural organisation of cosmic matter in a flat…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-11 Raphael Blumenfeld

We review one of the most fruitful areas in cosmology today that bridge theory and data - the temporal growth of large-scale structure. We go over the growth's physical foundations, and derive its behavior in simple cosmological models.…

Cosmology and Nongalactic Astrophysics · Physics 2023-09-12 Dragan Huterer

Universe structure emerges in the unreduced, complex-dynamical interaction process with the simplest initial configuration (two attracting homogeneous fields). The unreduced interaction analysis avoiding any perturbative model gives…

General Physics · Physics 2015-03-20 Andrei P. Kirilyuk

Except for crystalline or random structures, an agreed definition of complexity for intermediate and hence interesting cases does not exist. We fill this gap with a notion of complexity that characterises shapes formed by any finite number…

General Relativity and Quantum Cosmology · Physics 2024-05-14 Julian Barbour , Zaza Doborjginidze , Tim Koslowski , Hemant Shukla

The spatial character of territorial systems plays a crucial role in the emergence of their complexities. This contribution aims at illustrating to what extent different types of complexities can be exhibited in models of such systems. We…

Physics and Society · Physics 2019-01-29 Juste Raimbault

We discuss correlation properties of a general mass density field introducing a classification of structures based on their complexity. Standard cosmological models for primordial mass fluctuations are characterized by a sort of large-scale…

Astrophysics · Physics 2009-11-10 Francesco Sylos Labini , Andrea Gabrielli

The effective evolution of an inhomogeneous cosmological model may be described in terms of spatially averaged variables. We point out that in this context, quite naturally, a measure arises which is identical to a fluid model of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Akio Hosoya , Thomas Buchert , Masaaki Morita

We propose a new approach for multiverse analysis based on computational complexity, which leads to a new family of "computational" measure factors. By defining a cosmology as a space-time containing a vacuum with specified properties (for…

High Energy Physics - Theory · Physics 2018-04-18 Frederik Denef , Michael R. Douglas , Brian Greene , Claire Zukowski

I present a comprehensive review of the evolution of galaxy structure in the universe from the first galaxies we can currently observe at z~6 down to galaxies we see in the local universe. I further address how these changes reveal galaxy…

Astrophysics of Galaxies · Physics 2015-06-19 Christopher J. Conselice

The complexity of condensed matter arises from emergent behaviors that cannot be understood by analyzing individual constituents in isolation. While traditional condensed-matter approaches-developed primarily for ideal crystalline…

Materials Science · Physics 2025-09-30 Elisabetta Nocerino

The caustic skeleton is a parameter-free and mathematically rigorous formalism for tracing the hierarchical formation history of the multiscale cosmic web from the singularities in the underlying dark matter flow. In the present study, we…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-21 Benjamin Hertzsch , Job Feldbrugge , Rien van de Weygaert

Social evolutionary theory seeks to explain increases in the scale and complexity of human societies, from origins to present. Over the course of the twentieth century, social evolutionary theory largely fell out of favor as a way of…

Multiagent Systems · Computer Science 2025-02-27 David H. Wolpert , Kyle Harper

The currently standard theory of cosmic structure formation posits that the present-day clumpy appearance of the universe developed through gravitational amplification of the matter density fluctuations that are generated in the very early…

Astrophysics · Physics 2008-11-26 Naoki Yoshida

Nature's many varied complex systems (including galaxies, stars, planets, life, and society) are islands of order within the increasingly disordered universe. All organized systems are subject to physical, biological or cultural evolution,…

Popular Physics · Physics 2014-06-12 Eric J. Chaisson