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The global financial system has become highly connected and complex. Has been proven in practice that existing models, measures and reports of financial risk fail to capture some important systemic dimensions. Only lately, advisory boards…

Risk Management · Quantitative Finance 2011-12-07 Michalis Vafopoulos

We study the mean field approximation of a recent model of cascades on networks relevant to the investigation of systemic risk control in financial networks. In the model, the hypothesis of a trend reinforcement in the stochastic process…

Physics and Society · Physics 2007-11-13 Jan Lorenz , Stefano Battiston

This paper introduces a novel framework to study default dependence and systemic risk in a financial network that evolves over time. We analyse several indicators of risk, and develop a new latent space model to assess the health of key…

Applications · Statistics 2020-10-02 Laleh Tafakori , Armin Pourkhanali , Riccardo Rastelli

Complex networks are ubiquitous: a cell, the human brain, a group of people and the Internet are all examples of interconnected many-body systems characterized by macroscopic properties that cannot be trivially deduced from those of their…

In this brief review, we critically examine the recent work done on correlation-based networks in financial systems. The structure of empirical correlation matrices constructed from the financial market data changes as the individual stock…

Computational Finance · Quantitative Finance 2020-04-21 Vishwas Kukreti , Hirdesh K. Pharasi , Priya Gupta , Sunil Kumar

In this paper, we propose a dynamical model to capture cascading failures among interconnected organizations in the global financial system. Failures can take the form of bankruptcies, defaults, and other insolvencies. The network that…

Optimization and Control · Mathematics 2023-11-13 Leonardo Stella , Dario Bauso , Franco Blanchini , Patrizio Colaneri

Trade networks, across which countries distribute their products, are crucial components of the globalized world economy. Their structure is strongly heterogeneous across products, given the different features of the countries which buy and…

Physics and Society · Physics 2019-01-09 Carlo Piccardi , Lucia Tajoli

Micro-structural models of contagion and systemic risk emphasize that shock propagation is inherently multi-channel, spanning counterparty exposures, short-term funding and roll-over risk, securities cross-holdings, and common-asset…

Statistical Finance · Quantitative Finance 2026-02-12 Ilias Aarab , Thomas Gottron , Andrea Colombo , Jörg Reddig , Annalauro Ianiro

Risks threatening modern societies form an intricately interconnected network that often underlies crisis situations. Yet, little is known about how risk materializations in distinct domains influence each other. Here we present an approach…

Computers and Society · Computer Science 2016-05-03 Boleslaw K. Szymanski , Xin Lin , Andrea Asztalos , Sameet Sreenivasan

Complex networks have recently attracted much interest due to their prevalence in nature and our daily lives [1, 2]. A critical property of a network is its resilience to random breakdown and failure [3-6], typically studied as a…

Physics and Society · Physics 2016-01-08 James P. Bagrow , Sune Lehmann , Yong-Yeol Ahn

This paper leverages linear systems theory to propose a principled measure of complexity for network systems. We focus on a network of first-order scalar linear systems interconnected through a directed graph. By locally filtering out the…

Systems and Control · Electrical Eng. & Systems 2025-07-10 Giacomo Baggio , Marco Fabris

Percolation is a fundamental concept that brought new understanding on the robustness properties of complex systems. Here we consider percolation on weakly interacting networks, that is, network layers coupled together by much less…

Physics and Society · Physics 2019-04-10 Giacomo Rapisardi , Alex Arenas , Guido Caldarelli , Giulio Cimini

We consider a network of bank holdings, where every holding has two subsidiaries of different types. A subsidiary can trade with another holding's subsidiary of the same type. Holdings support their subsidiaries up to a certain level when…

Risk Management · Quantitative Finance 2024-03-11 Maxim Bichuch , Nils Detering

We develop a model for contagion in reinsurance networks by which primary insurers' losses are spread through the network. Our model handles general reinsurance contracts, such as typical excess of loss contracts. We show that simpler…

Risk Management · Quantitative Finance 2020-03-25 Ariah Klages-Mundt , Andreea Minca

Cross-border equity and long-term debt securities portfolio investment networks are analysed from 2002 to 2012, covering the 2008 global financial crisis. They serve as network-proxies for measuring the robustness of the global financial…

General Finance · Quantitative Finance 2014-03-05 Andreas Joseph , Stephan Joseph , Guanrong Chen

Many complex networks depend upon biological entities for their preservation. Such entities, from human cognition to evolution, must first encode and then replicate those networks under marked resource constraints. Networks that survive are…

Physics and Society · Physics 2021-03-02 Christopher W. Lynn , Danielle S. Bassett

We live in a modern world supported by large, complex networks. Examples range from financial markets to communication and transportation systems. In many realistic situations the flow of physical quantities in the network, as characterized…

Disordered Systems and Neural Networks · Physics 2009-11-10 Adilson E. Motter , Ying-Cheng Lai

Modern society heavily relies on strongly connected, socio-technical systems. As a result, distinct risks threatening the operation of individual systems can no longer be treated in isolation. Consequently, risk experts are actively seeking…

Risk Management · Quantitative Finance 2018-02-07 Christos Ellinas , Neil Allan , Caroline Coombe

The stability of a complex financial system may be assessed by measuring risk contagion between various financial institutions with relatively high exposure. We consider a financial network model using a bipartite graph of financial…

Risk Management · Quantitative Finance 2025-05-23 Bikramjit Das , Vicky Fasen-Hartmann

Management of systemic risk in financial markets is traditionally associated with setting (higher) capital requirements for market participants. There are indications that while equity ratios have been increased massively since the…

Computational Finance · Quantitative Finance 2019-05-16 Christian Diem , Anton Pichler , Stefan Thurner