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Related papers: Systemic Risk in a Unifying Framework for Cascadin…

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A growing body of studies on systemic risk in financial markets has emphasized the key importance of taking into consideration the complex interconnections among financial institutions. Much effort has been put in modeling the contagion…

We analytically determine when a range of abstract social contagion models permit global spreading from a single seed on degree-correlated random networks. We deduce the expected size of the largest vulnerable component, a network's…

Physics and Society · Physics 2013-05-29 Peter Sheridan Dodds , Joshua L. Payne

Interacting systems of events may exhibit cascading behavior where events tend to be temporally clustered. While the cascades themselves may be obvious from the data, it is important to understand which states of the system trigger them.…

Machine Learning · Statistics 2023-11-02 Alessandro Bregoli , Karin Rathsman , Marco Scutari , Fabio Stella , Søren Wengel Mogensen

For large-scale power networks, the failure of particular transmission lines can offload power to other lines and cause self-protection trips to activate, instigating a cascade of line failures. In extreme cases, this can bring down the…

Physics and Society · Physics 2018-06-08 Charles Matthews , Bradly Stadie , Jonathan Weare , Mihai Anitescu , Christopher Demarco

Typically, contagion strength is modeled by a transmission rate $\lambda$, whereby all nodes in a network are treated uniformly in a mean-field approximation. However, local agents react differently to the same contagion based on their…

Physics and Society · Physics 2014-01-28 Pouya Manshour , Afshin Montakhab

We investigate the spread of an infection or other malfunction of cascading nature when a system component can recover only if it remains reachable from a functioning central component. We consider the susceptible-infected-susceptible…

Physics and Society · Physics 2016-04-27 L. Böttcher , O. Woolley-Meza , E. Goles , D. Helbing , H. J. Herrmann

Burstiness, the tendency of interaction events to be heterogeneously distributed in time, is critical to information diffusion in physical and social systems. However, an analytical framework capturing the effect of burstiness on generic…

Physics and Society · Physics 2020-07-14 Samuel Unicomb , Gerardo Iñiguez , James P. Gleeson , Márton Karsai

This study extends the Gai-Kapadia framework, originally developed for interbank contagion, to assess systemic risk and default cascades in global equity markets. We analyze a 30 asset network comprising Brazilian and developed market…

Statistical Finance · Quantitative Finance 2026-04-23 Ana Isabel Castillo Pereda

This paper develops a continuous functional framework for analyzing contagion dynamics in financial networks, extending the Navier-Stokes-based approach to network-structured spatial processes. We model financial distress propagation as a…

Econometrics · Economics 2025-10-28 Tatsuru Kikuchi

We present a modelling framework for the spreading of epidemics on temporal networks from which both the individual-based and pair-based models can be recovered. The proposed temporal pair-based model that is systematically derived from…

Physics and Society · Physics 2020-11-17 Rory Humphries , Kieran Mulchrone , Jamie Tratalos , Simon More , Philipp Hövel

We derive the default cascade model and the fire-sale spillover model in a unified interdependent framework. The interactions among banks include not only direct cross-holding, but also indirect dependency by holding mutual assets outside…

Risk Management · Quantitative Finance 2022-10-11 William A. Barnett , Xue Wang , Hai-Chuan Xu , Wei-Xing Zhou

Networks provide a skeleton for the spread of contagions, like, information, ideas, behaviors and diseases. Many times networks over which contagions diffuse are unobserved and need to be inferred. Here we apply survival theory to develop…

Social and Information Networks · Computer Science 2013-05-17 Manuel Gomez Rodriguez , Jure Leskovec , Bernhard Schoelkopf

This study pioneers the application of the Gai-Kapadia framework, originally developed for interbank contagion, to global equity markets. It offers a novel approach to assess systemic risk and default cascades. Using a 20-asset network (13…

Risk Management · Quantitative Finance 2025-04-07 Ana I. C. Pereda

We investigate the failure characteristics of complex networks within the framework of the fiber bundle model subject to the local load sharing rule in which the load of the broken fiber is transferred only to its neighbor fibers. Although…

Statistical Mechanics · Physics 2007-05-23 Dong-Hee Kim , Beom Jun Kim , Hawoong Jeong

In this brief, we study epidemic spreading dynamics taking place in complex networks. We specifically investigate the effect of synergy, where multiple interactions between nodes result in a combined effect larger than the simple sum of…

Social and Information Networks · Computer Science 2019-04-23 Masaki Ogura , Wenjie Mei , Kenji Sugimoto

We study the effectiveness of recovery strategies for a dynamic model of failure spreading in networks. These strategies control the distribution of resources based on information about the current network state and network topology. In…

Physics and Society · Physics 2009-11-13 Lubos Buzna , Karsten Peters , Hendrik Ammoser , Christian Kuehnert , Dirk Helbing

We consider propagation models that describe the spreading of an attribute, called "damage", through the nodes of a random network. In some systems, the average fraction of nodes that remain undamaged vanishes in the large system limit, a…

Cellular Automata and Lattice Gases · Physics 2007-05-23 Björn Samuelsson , Joshua E. S. Socolar

Current network models assume one type of links to define the relations between the network entities. However, many real networks can only be correctly described using two different types of relations. Connectivity links that enable the…

Data Analysis, Statistics and Probability · Physics 2015-05-20 Roni Parshani , Sergey V. Buldyrev , Shlomo Havlin

Complex contagions describe systems where the probability or rate of contagious transmission is a nonlinear function of the exposure to contagious agents. These models were first studied theoretically but have since been used to capture…

We present an extension of the continuous damage fiber bundle model to describe the gradual degradation of highly heterogeneous materials under an increasing external load. Breaking of a fiber in the model is preceded by a sequence of…

Materials Science · Physics 2009-11-13 F. Raischel , F. Kun , H. J. Herrmann