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Although classical economic theory is based on the concept of stable equilibrium, real economic systems appear to be always out of equilibrium. Indeed, they share many of the dynamical features of other complex systems, e.g., ecological…

Physics and Society · Physics 2010-11-16 Sitabhra Sinha

Most complex networks serve as conduits for various dynamical processes, ranging from mass transfer by chemical reactions in the cell to packet transfer on the Internet. We collected data on the time dependent activity of five natural and…

Disordered Systems and Neural Networks · Physics 2009-11-10 M. Argollo de Menezes , A-L. Barabasi

With the rapid growth of online social networks, strengthening their stability has emerged as a key research focus. This study aims to identify influential relationships that significantly impact community stability. In this paper, we…

Social and Information Networks · Computer Science 2025-07-16 Hongbo Qiu , Renjie Sun , Chen chen , Xiaoyang Wang

We study how the connectivity within a recurrent neural network determines and is determined by the multistable solutions of network activity. To gain analytic tractability we let neural activation be a non-smooth Heaviside step function.…

Neural and Evolutionary Computing · Computer Science 2023-03-09 Magnus Tournoy , Brent Doiron

Recently, there has been a growing interest in network research, especially in these fields of biology, computer science, and sociology. It is natural to address complex financial issues such as the European sovereign debt crisis from the…

Risk Management · Quantitative Finance 2015-06-15 Hongwei Chuang , Hwai-Chung Ho

We study the difference between the level of systemic risk that is empirically measured on an interbank network and the risk that can be deduced from the balance sheets composition of the participating banks. Using generalised DebtRank…

Risk Management · Quantitative Finance 2022-09-07 Alessandro Ferracci , Giulio Cimini

Many natural and man-made network systems need to maintain certain patterns, such as working at equilibria or limit cycles, to function properly. Thus, the ability to stabilize such patterns is crucial. Most of the existing studies on…

Optimization and Control · Mathematics 2025-09-30 Alberto Maria Nobili , Yuzhen Qin , Carlo Alberto Avizzano , Danielle S. Bassett , Fabio Pasqualetti

Although the threshold network is one of the most used tools to characterize the underlying structure of a stock market, the identification of the optimal threshold to construct a reliable stock network remains challenging. In this paper,…

Statistical Finance · Quantitative Finance 2018-08-27 Xin-Jian Xu , Kuo Wang , Liucun Zhu , Li-Jie Zhang

How do networks of relationships evolve over time? We analyse a dataset tracking the social interactions of 900 individuals over four years. Despite continuous shifts in individual relationships, the macroscopic structural properties of the…

Physics and Society · Physics 2025-06-04 Miguel A. González-Casado , Andreia Sofia Teixeira , Angel Sánchez

This work proposes an augmented variant of DebtRank with uncertainty intervals as a method to investigate and assess systemic risk in financial networks, in a context of incomplete data. The algorithm is tested against a default contagion…

Risk Management · Quantitative Finance 2014-12-05 Stefano Gurciullo

The application of network analysis has found great success in a wide variety of disciplines; however, the popularity of these approaches has revealed the difficulty in handling networks whose complexity scales rapidly. One of the main…

Methodology · Statistics 2023-10-24 Anna Malinovskaya , Philipp Otto

Street networks allow people and goods to move through cities, but they are vulnerable to disasters like floods, earthquakes, and terrorist attacks. Well-planned network design can make a city more resilient and robust to such disruptions,…

Physics and Society · Physics 2024-03-19 Geoff Boeing , Jaehyun Ha

We study a class of dynamical multi-commodity flow networks in transportation networks. These are modeled as dynamical systems describing the evolution of the densities of a number of different commodities across the cells of a…

Dynamical Systems · Mathematics 2025-08-26 Davide Sipione , Giacomo Como

Stability of Wardrop equilibria is analyzed for dynamical transportation networks in which the drivers' route choices are influenced by information at multiple temporal and spatial scales. The considered model involves a continuum of…

Dynamical Systems · Mathematics 2015-03-17 Giacomo Como , Ketan Savla , Daron Acemoglu , Munther A. Dahleh , Emilio Frazzoli

We embrace a fresh perspective to auditing by analyzing a large set of companies as complex financial networks rather than static aggregates of balance sheet data. Preliminary analyses show that network centrality measures within these…

Computational Engineering, Finance, and Science · Computer Science 2023-11-30 M. Boersma , S. Sourabh , L. A. Hoogduin , D. Kandhai

In recent years, methods from network science are gaining rapidly interest in economics and finance. A reason for this is that in a globalized world the interconnectedness among economic and financial entities are crucial to understand and…

Economic and financial networks play a crucial role in various important processes, including economic integration, globalization, and financial crises. Of particular interest is understanding whether the temporal evolution of a real…

Physics and Society · Physics 2014-05-08 Tiziano Squartini , Diego Garlaschelli

This paper characterises dynamic linkages arising from shocks with heterogeneous degrees of persistence. Using frequency domain techniques, we introduce measures that identify smoothly varying links of a transitory and persistent nature.…

Econometrics · Economics 2023-11-21 Jozef Barunik , Michael Ellington

Recently, the notion of cryptocurrencies has come to the fore of public interest. These assets that exist only in electronic form, with no underlying value, offer the owners some protection from tracking or seizure by government or…

Mathematical Finance · Quantitative Finance 2018-05-09 Carey Caginalp

Financial markets are complex adaptive systems, and are commonly studied as complex networks. Most of such studies fall short in two respects: they do not account for non-linearity of the studied relationships, and they create one network…

Statistical Finance · Quantitative Finance 2014-10-01 Paweł Fiedor , Artur Hołda