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We study the effects of nonreciprocity and network structure on percolation. To this end, we investigate nonreciprocal random networks - directed networks for which the probability of a link occurring from node i to node j differs from the…

Statistical Mechanics · Physics 2025-10-07 Chanania Steinbock

Causal inference provides an analytical framework to identify and quantify cause-and-effect relationships among a network of interacting agents. This paper offers a novel framework for analyzing cascading failures in power transmission…

Systems and Control · Electrical Eng. & Systems 2024-10-28 Shiuli Subhra Ghosh , Anmol Dwivedi , Ali Tajer , Kyongmin Yeo , Wesley M. Gifford

Many infrastructure networks have a modular structure and are also interdependent. While significant research has explored the resilience of interdependent networks, there has been no analysis of the effects of modularity. Here we develop a…

Physics and Society · Physics 2016-01-20 Louis Shekhtman , Saray Shai , Shlomo Havlin

The topology of the network of load transmitting connections plays an essential role in the cascading failure dynamics of complex systems driven by the redistribution of load after local breakdown events. In particular, as the network…

Disordered Systems and Neural Networks · Physics 2023-11-21 G. Pál , Zs. Danku , A. Batool , V. Kádár , N. Yoshioka , N. Ito , G. Ódor , F. Kun

Interconnected agents such as firms in a supply chain make simultaneous preparatory investments to increase chances of honouring their respective bilateral agreements. Failures cascade: if one fails their agreement, then so do all who…

Theoretical Economics · Economics 2024-08-15 Jens Gudmundsson , Jens Leth Hougaard , Jay Sethuraman

We propose a means to relate properties of an interconnected system to its separate component systems in the presence of cascade-like phenomena. Building on a theory of interconnection reminiscent of the behavioral approach to systems…

Systems and Control · Electrical Eng. & Systems 2019-11-26 Elie M. Adam , Munther A. Dahleh

Recent work in the area of interdependent networks has focused on interactions between two systems of the same type. However, an important and ubiquitous class of systems are those involving monitoring and control, an example of…

Disordered Systems and Neural Networks · Physics 2013-09-27 Richard G. Morris , Marc Barthelemy

The whole frame of interconnections in complex networks hinges on a specific set of structural nodes, much smaller than the total size, which, if activated, would cause the spread of information to the whole network [1]; or, if immunized,…

Physics and Society · Physics 2015-08-27 Flaviano Morone , Hernan A. Makse

Attacks on networks is a very important issue in developing strategies of eradicating spreads of malicious phenomena in networks, such as epidemics and fake information, which are generally named in the research networks immunization. The…

Physics and Society · Physics 2022-10-26 Amikam Patron

Socio-economic networks, from cities and firms to collaborative projects, often appear resilient for long periods before experiencing rapid, cascading decline as participation erodes. We explain such dynamics through a framework of…

Physics and Society · Physics 2026-05-25 Sandro Claudio Lera , Andreas Haupt

Multi-stability is a widely observed phenomenon in real complex networked systems, such as technological infrastructures, ecological systems, gene regulation, transportation and more. When a system functions normally but there exists also a…

Physics and Society · Physics 2022-05-27 Hillel Sanhedrai , Shlomo Havlin

For interdependent networks with identity dependency map, percolation is exactly the same with that on a single network and follows a second-order phase transition, while for random dependency, percolation follows a first-order phase…

Social and Information Networks · Computer Science 2016-02-17 Jing Yuan , Lixiang Li , Haipeng Peng , Jürgen Kurths , Xiaojing Hua , Yixian Yang

We study large deviations and rare default clustering events in a dynamic large heterogeneous portfolio of interconnected components. Defaults come as Poisson events and the default intensities of the different components in the system…

Probability · Mathematics 2015-02-20 Konstantinos Spiliopoulos , Richard B. Sowers

Recently increasing attention has been addressed to the fluctuations observed in percolation defined in single and multiplex networks. These fluctuations are extremely important to characterize the robustness of real finite networks but…

Disordered Systems and Neural Networks · Physics 2019-08-21 Ginestra Bianconi

Propagation of balance-sheet or cash-flow insolvency across financial institutions may be modeled as a cascade process on a network representing their mutual exposures. We derive rigorous asymptotic results for the magnitude of contagion in…

Risk Management · Quantitative Finance 2014-03-26 Hamed Amini , Rama Cont , Andreea Minca

Failure, damage spread and recovery crucially underlie many spatially embedded networked systems ranging from transportation structures to the human body. Here we study the interplay between spontaneous damage, induced failure and recovery…

Physics and Society · Physics 2017-10-23 Lucas Böttcher , Mirko Lukovic , Jan Nagler , Shlomo Havlin , Hans J. Herrmann

Natural and technological interdependent systems have been shown to be highly vulnerable due to cascading failures and an abrupt collapse of global connectivity under initial failure. Mitigating the risk by partial disconnection endangers…

Statistical Mechanics · Physics 2013-06-13 Christian M. Schneider , Nuri Yazdani , Nuno A. M. Araujo , Shlomo Havlin , Hans J. Herrmann

Given a connected network, it can be augmented by applying a growing strategy (e.g. random or scale-free rules) over the previously existing structure. Another approach for augmentation, recently introduced, involves incorporating a direct…

Statistical Mechanics · Physics 2007-05-23 Luciano da Fontoura Costa

Multilayer networks have been found to be prone to abrupt cascading failures under random and targeted attacks, but most of the targeting algorithms proposed so far have been mainly tested on uncorrelated systems. Here we show that the size…

Physics and Society · Physics 2020-07-23 Andrea Santoro , Vincenzo Nicosia

Diffusion on complex networks is a convenient framework to simulate a great variety of transport systems. The effects of failures in the network links may be used to cascade phenomena or the congestion formation in the system. A real time…

Physics and Society · Physics 2026-05-26 Edoardo Rolando , Armando Bazzani
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