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This article provides a selective review on the recent literature on econometric models of network formation. The survey starts with a brief exposition on basic concepts and tools for the statistical description of networks. I then offer a…

Econometrics · Economics 2020-01-14 Aureo de Paula

If one isolated species (corporation) is supposed to evolve following the logistic mapping, then we are tempted to think that the dynamics of two species (corporations) can be expressed by a coupled system of two discrete logistic…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Ricardo Lopez-Ruiz , Daniele Fournier-Prunaret

Identifying and explaining the structure of complex networks at different scales has become an important problem across disciplines. At the mesoscale, modular architecture has attracted most of the attention. At the macroscale, other…

Physics and Society · Physics 2018-11-09 María J. Palazzi , Javier Borge-Holthoefer , Claudio Tessone , Albert Solé-Ribalta

Network sampling is a crucial technique for analyzing large or partially observable networks. However, the effectiveness of different sampling methods can vary significantly depending on the context. In this study, we empirically compare…

Social and Information Networks · Computer Science 2025-05-05 Quoc Chuong Nguyen

Resilient ecological systems will be better able to maintain their structure and function in the emerging Anthropocene. Estimating the resilience of different systems will therefore provide valuable insight for conservation decision-makers,…

Dynamical Systems · Mathematics 2023-06-16 Cailan Jeynes-Smith , Michael Bode , Robyn P. Araujo

Real world networks have, for a long time, been modelled by scale-free networks, which have many sparsely connected nodes and a few highly connected ones (the hubs). However, both in society and in biology, a new structure must be…

Adaptation and Self-Organizing Systems · Physics 2019-05-10 R. Vilela Mendes

In this paper, we survey recent econometric contributions to measure the relationship between economic activity and climate change. Due to the critical relevance of these effects for the well-being of future generations, there is an…

Econometrics · Economics 2022-06-16 Aránzazu de Juan , Pilar Poncela , Vladimir Rodríguez-Caballero , Esther Ruiz

We analyse a multiplex of networks between OECD countries during the decade 2002-2010, which consists of five financial layers, given by foreign direct investment, equity securities, short-term, long-term and total debt securities, and five…

General Finance · Quantitative Finance 2016-02-17 Franco Ruzzenenti , Andreas Joseph , Elisa Ticci , Pietro Vozzella , Giampaolo Gabbi

The structure of complex networks has been of interest in many scientific and engineering disciplines over the decades. A number of studies in the field have been focused on finding the common properties among different kinds of networks…

Social and Information Networks · Computer Science 2017-11-01 Kansuke Ikehara , Aaron Clauset

Transformations to create more sustainable social-ecological systems are urgently needed. Structural change is a feature of transformations of social-ecological systems that is of critical importance but is little understood. Here, we…

Adaptation and Self-Organizing Systems · Physics 2017-04-21 Steven J. Lade , Örjan Bodin , Jonathan F. Donges , Elin Enfors Kautsky , Diego Galafassi , Per Olsson , Maja Schlüter

Graph isomorphism is a problem for which there is no known polynomial-time solution. Nevertheless, assessing (dis)similarity between two or more networks is a key task in many areas, such as image recognition, biology, chemistry, computer…

Computation · Statistics 2022-06-28 Pierre Miasnikof , Alexander Y. Shestopaloff , Cristián Bravo , Yuri Lawryshyn

Research on probabilistic models of networks now spans a wide variety of fields, including physics, sociology, biology, statistics, and machine learning. These efforts have produced a diverse ecology of models and methods. Despite this…

Machine Learning · Statistics 2014-11-18 Abigail Z. Jacobs , Aaron Clauset

A set of economic entities embedded in a network graph collaborate by opportunistically exchanging their resources to satisfy their dynamically generated needs. Under what conditions their collaboration leads to a sustainable economy? Which…

Computer Science and Game Theory · Computer Science 2017-07-26 George Iosifidis , Leandros Tassiulas

In complex networks a common task is to identify the most important or "central" nodes. There are several definitions, often called centrality measures, which often lead to different results. Here we study extensively correlations between…

Physics and Society · Physics 2009-11-13 Magnus Jungsbluth , Bernd Burghardt , Alexander K. Hartmann

Distribution networks -- from vasculature to urban transportation systems -- are prevalent in both the natural and consumer worlds. These systems are intrinsically physical in composition and are embedded into real space, properties that…

Quantitative Methods · Quantitative Biology 2016-12-26 Lia Papadopoulos , Pablo Blinder , Henrik Ronellenfitsch , Florian Klimm , Eleni Katifori , David Kleinfeld , Danielle S. Bassett

International trading networks significantly influence global economic conditions and environmental outcomes. A notable imbalance between economic gains and emissions transfers persists, manifesting as carbon inequality. This study…

Social and Information Networks · Computer Science 2024-07-09 Yanming Guo , Charles Guan , Jin Ma

Pathways are integral to systems biology. Their classical representation has proven useful but is inconsistent in the meaning assigned to each arrow (or edge) and inadvertently implies the isolation of one pathway from another. Conversely,…

Spatial networks are a powerful framework for studying a large variety of systems belonging to a broad diversity of contexts: from transportation to biology, from epidemiology to communications, and migrations, to cite a few. Spatial…

Physics and Society · Physics 2020-04-08 Ignacio Morer , Alessio Cardillo , Albert Diaz-Guilera , Luce Prignano , Sergi Lozano

Ecosystems are commonly conceptualized as networks of interacting species. However, partitioning natural diversity of organisms into discrete units is notoriously problematic, and mounting experimental evidence raises the intriguing…

Populations and Evolution · Quantitative Biology 2017-09-22 Mikhail Tikhonov

The rich and varied ways that genetic material can be passed between species has motivated extensive research into the theory of phylogenetic networks. Features that align with biological processes, or with desirable mathematical…

Populations and Evolution · Quantitative Biology 2025-08-12 Andrew Francis