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It is shown that physical fields are formed by physical structures, which in their properties are differential-geometrical structures. These results have been obtained due to using the mathematical apparatus of skew-symmetric differential…

Mathematical Physics · Physics 2016-09-07 L. I. Petrova

Power law distributed fluctuations are known to accompany \emph{terminal} failure in disordered brittle solids. The associated intermittent scale-free behavior is of interest from the fundamental point of view as it emerges universally from…

Disordered Systems and Neural Networks · Physics 2021-10-19 Hudson Borja da Rocha , Lev Truskinovsky

The surface of conservative coupled sandpiles in the self-organized cooperative critical state is found to exhibit intermittency in both time and space. The spatiotemporal intermittent structure is also found to be a multifractal. The…

Adaptation and Self-Organizing Systems · Physics 2015-09-01 Lei Liu , Fei Hu

In this paper, we introduce an algorithm which constructs the generalized Cech complex. The generalized Cech complex represents the topology of a wireless network whose cells are different in size. This complex is often used in many…

Networking and Internet Architecture · Computer Science 2015-02-03 Ngoc Khuyen Le , Philippe Martins , Laurent Decreusefond , Anais Vergne

Urban sprawl reshapes cities, yet its quantitative laws remain elusive. Analyzing built-up expansion in 19 cities (1985-2015) with tools from surface growth physics in radial geometry, we reveal anisotropic, branch-like growth and a…

Physics and Society · Physics 2025-11-04 Ulysse Marquis , Oriol Artime , Riccardo Gallotti , Marc Barthelemy

The growth of cities has traditionally been studied from a population perspective, while urban expansion-its spatial growth-has often been approached qualitatively. However, characterizing and modeling this spatial expansion is crucial,…

Physics and Society · Physics 2026-03-31 Ulysse Marquis , Marc Barthelemy

At large scales, typologies of urban form and corresponding generating processes remain an open question with important implications regarding urban planning policies and sustainability. We propose in this paper to generate urban…

Physics and Society · Physics 2019-03-19 Juste Raimbault , Julien Perret

Pervasive infrastructures, such as cell phone networks, enable to capture large amounts of human behavioral data but also provide information about the structure of cities and their dynamical properties. In this article, we focus on these…

We study the structural features and underlying principles of multi-dislocation ground states of a crystalline spherical cap. In the continuum limit where the ratio of crystal size to lattice spacing $W/a$ diverges, dislocations proliferate…

Soft Condensed Matter · Physics 2015-06-18 Amir Azadi , Gregory M. Grason

Geospatial datasets on the long-term evolution of road networks are scarce, hampering our quantitative understanding of how the contemporary road network has evolved over the course of the 20th century. However, such information is crucial…

Physics and Society · Physics 2025-06-23 Johannes H. Uhl , Keith A. Burghardt , Stefan Leyk

Cities are living organisms. They are out of equilibrium, open systems that never stop developing and sometimes die. The local geography can be compared to a shell constraining its development. In brief, a city's current layout is a step in…

Adaptation and Self-Organizing Systems · Physics 2015-05-20 Thomas Courtat , Catherine Gloaguen , Stephane Douady

The increasing occurrence of natural hazards such as wildfires and drought, along with urban expansion and land consumption, causes increasing levels of fire risk to populations and human settlements. Moreover, increasing geopolitical…

Many aggregate distributions of urban activities such as city sizes reveal scaling but hardly any work exists on the properties of spatial distributions within individual cities, notwithstanding considerable knowledge about their fractal…

Physics and Society · Physics 2009-09-29 Michael Batty , Rui Carvalho , Andy Hudson-Smith , Richard Milton , Duncan Smith , Philip Steadman

We compare the structural properties of the street networks of ten different European cities using their primal representation. We investigate the properties of the geometry of the networks and a set of centrality measures highlighting…

It is well known that in a neutrally-stratified turbulent flow in a deep constant-stress layer above a flat surface, the variation of the mean velocity with respect to the distance from the surface obeys the logarithmic law (the so-called…

Fluid Dynamics · Physics 2009-11-07 S. Besio , A. Mazzino , C. F. Ratto

Land use / land cover (LULC) modeling is a challenging task due to long-range dependencies between geographic features and distinct spatial patterns related to topography, ecology, and human development. We identify a close connection…

Computer Vision and Pattern Recognition · Computer Science 2024-01-04 Christopher Krapu , Mark Borsuk , Ryan Calder

Scaling laws are powerful summaries of the variations of urban attributes with city size. However, the validity of their universal meaning for cities is hampered by the observation that different scaling regimes can be encountered for the…

Physics and Society · Physics 2016-06-15 Clementine Cottineau , Erez Hatna , Elsa Arcaute , Michael Batty

We propose a bare-bones stochastic model that takes into account both the geographical distribution of people within a country and their complex network of connections. The model, which is designed to give rise to a scale-free network of…

Physics and Society · Physics 2014-02-04 Gerald F. Frasco , Jie Sun , Hernan D. Rozenfeld , Daniel ben-Avraham

The electrical energy system has attracted much attention from an increasingly diverse research community. Many theoretical predictions have been made, from scaling laws of fluctuations to propagation velocities of disturbances. However, to…

\begin{abstract} In this Letter we follow the asymptotic spatial correlation of buildings' heights $G_{\infty}(r)$ in the whole of the Netherlands \cite{bag3d}, which comprises $\approx 10,000,000$ buildings, for the purpose of recovering…

Statistical Mechanics · Physics 2020-06-24 Sara Najem , Alaa Krayem , Tapio Ala-Nissila , Martin Grant
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