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How does the shape of a network change as its size increases? Although random graph models provide some expectations for such "scaling behaviors" in the structure of networks, relatively little is known about how empirical network structure…

社会与信息网络 · 计算机科学 2026-03-24 Upasana Dutta , Alexander Ray , Aaron Clauset

We introduce a growing network model---the copying model---in which a new node attaches to a randomly selected target node and, in addition, independently to each of the neighbors of the target with copying probability $p$. When…

统计力学 · 物理学 2016-12-14 U. Bhat , P. L. Krapivsky , R. Lambiotte , S. Redner

The hierarchy of channel networks in landscapes displays features that are characteristic of non-equilibrium complex systems. Here we show that a sequence of increasingly complex ridge and valley networks is produced by a system of partial…

地球物理 · 物理学 2019-05-09 Sara Bonetti , Milad Hooshyar , Carlo Camporeale , Amilcare Porporato

Rivers exhibit fractal-like properties that are associated with scaling laws linking geometry and size. The optimal channel network (OCN) model, which is a mathematically tractable representation of river networks often used in theoretical…

物理与社会 · 物理学 2025-03-24 E. H. Colombo , A. B. García-Andrade , Ismail , J. M. Calabrese

Scale-free and non-computable characteristics of natural networks are found to result from the least-time dispersal of energy. To consider a network as a thermodynamic system is motivated since ultimately everything that exists can be…

综合物理 · 物理学 2011-06-22 Tuomo Hartonen , Arto Annila

What makes economic and ecological networks so unlike other highly skewed networks in their tendency toward turbulence and collapse? Here, we explore the consequences of a defining feature of these networks: their nodes are tied together by…

物理与社会 · 物理学 2013-08-06 Jesse Shore , Catherine J. Chu , Matt T. Bianchi

A new model ecosystem consisting of many interacting species is introduced. The species are connected through a random matrix with a given connectivity. It is shown that the system is organized close to a boundary of marginal stability in…

adap-org · 物理学 2007-05-23 Ricard V. Sole , David Alonso , Alan McKane

Climate change exacerbates riverine floods, which occur with higher frequency and intensity than ever. The much-needed forecasting systems typically rely on accurate river discharge predictions. To this end, the SOTA data-driven approaches…

机器学习 · 计算机科学 2025-05-02 Nikolas Kirschstein , Yixuan Sun

We analyze the Optimal Channel Network model for river networks using both analytical and numerical approaches. This is a lattice model in which a functional describing the dissipated energy is introduced and minimized in order to find the…

统计力学 · 物理学 2009-10-28 F. Colaiori , A. Flammini , A. Maritan , J. R. Banavar

Despite the huge interest in network resilience to stress, most of the studies have concentrated on internal stress damaging network structure (e.g., node removals). Here we study how networks respond to environmental stress deteriorating…

物理与社会 · 物理学 2018-04-24 Young-Ho Eom

Analytic scaling relations are derived for a phenomenological model of the plasmoid instability in an evolving current sheet, including the effects of reconnection outflow. Two scenarios are considered, where the plasmoid instability can be…

等离子体物理 · 物理学 2019-10-23 Yi-Min Huang , Luca Comisso , Amitava Bhattacharjee

Perturbations made to networked systems may result in partial structural loss, such as a blackout in a power-grid system. Investigating the resultant disturbance in network properties is quintessential to understand real networks in action.…

物理与社会 · 物理学 2022-12-27 Mi Jin Lee , Jung-Ho Kim , Kwang-Il Goh , Sang Hoon Lee , Seung-Woo Son , Deok-Sun Lee

Natural landslides exhibit scaling properties revealed by power law relationships. These relationships include the frequency of the size (e.g., area, volume) of the landslides, and the rainfall conditions responsible for slope failures in a…

地球物理 · 物理学 2014-03-17 M. Alvioli , F. Guzzetti , M. Rossi

We investigate flow dynamics in rivers characterized by basin areas and daily mean discharge spanning different orders of magnitude. We show that the delayed increments evaluated at time scales ranging from days to months can be opportunely…

适应与自组织系统 · 物理学 2015-05-20 M. De Domenico , V. Latora

The flow through a porous medium strongly depends on the boundary conditions, very often assumed to be static. Here, we consider changes in the medium due to swelling and erosion and extend existing Lattice-Boltzmann models to include both.…

流体动力学 · 物理学 2021-04-19 André F. V. Matias , Rodrigo C. V. Coelho , José S. Andrade , Nuno A. M. Araújo

We investigated the scaling and topology of engineered urban drainage networks (UDNs) in two cities, and further examined UDN evolution over decades. UDN scaling was analyzed using two power-law characteristics widely employed for river…

Accurate and scalable hydrologic models are essential building blocks of several important applications, from water resource management to timely flood warnings. However, as the climate changes, precipitation and rainfall-runoff pattern…

机器学习 · 计算机科学 2020-07-02 Zach Moshe , Asher Metzger , Gal Elidan , Frederik Kratzert , Sella Nevo , Ran El-Yaniv

Study of random networks generally requires the nodes to be independently and uniformly distributed such as a Poisson point process. In this work, we venture beyond this standard paradigm and investigate a stochastic forest obtained from a…

概率论 · 数学 2023-02-28 Rahul Roy , Kumarjit Saha , Anish Sarkar

Spatial networks of land cover are well-described by power law rank-size distributions. Continuous field proxies for human settlements, agriculture and forest cover have similar spatial scaling properties spanning 4 to 5 orders of…

物理与社会 · 物理学 2015-12-07 Christopher Small , Daniel Sousa

Max-stable processes are the natural extension of the classical extreme-value distributions to the functional setting, and they are increasingly widely used to estimate probabilities of complex extreme events. In this paper we broaden them…

统计方法学 · 统计学 2016-02-05 Peiman Asadi , Anthony C. Davison , Sebastian Engelke