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Driven by the explosion of data and the impact of real-world networks, a wide array of mathematical models have been proposed to understand the structure and evolution of such systems, especially in the temporal context. Recent advances in…

Probability · Mathematics 2024-09-11 Sayan Banerjee , Shankar Bhamidi , Partha Dey , Akshay Sakanaveeti

Functional and effective networks inferred from time series are at the core of network neuroscience. Interpreting their properties requires inferred network models to reflect key underlying structural features; however, even a few spurious…

Neurons and Cognition · Quantitative Biology 2022-09-22 Leonardo Novelli , Joseph T. Lizier

Although species longevity is subject to a diverse range of selective forces, the mortality curves of a wide variety of organisms are rather similar. We argue that aging and its universal characteristics may have evolved by means of a…

Populations and Evolution · Quantitative Biology 2013-02-01 Dervis Can Vural , Greg Morrison , L. Mahadevan

From critical infrastructure, to physiology and the human brain, complex systems rarely occur in isolation. Instead, the functioning of nodes in one system often promotes or suppresses the functioning of nodes in another. Despite advances…

Statistical Mechanics · Physics 2019-02-20 Michael M. Danziger , Ivan Bonamassa , Stefano Boccaletti , Shlomo Havlin

We analyze large-scale data sets about collaborations from two different domains: economics, specifically 22.000 R&D alliances between 14.500 firms, and science, specifically 300.000 co-authorship relations between 95.000 scientists.…

Physics and Society · Physics 2017-09-25 Mario V. Tomasello , Giacomo Vaccario , Frank Schweitzer

Intra-firm trade describes the trade between affiliated firms and is increasingly important as global production is fragmented. However, statistics and data on global intra-firm trade patterns are widely unavailable. This study proposes a…

General Economics · Economics 2023-08-24 Matthew Smith , Yasaman Sarabi

We present analytic and numeric results for percolation in a network formed of interdependent spatially embedded networks. We show results for a treelike and a random regular network of networks each with $(i)$ unconstrained interdependent…

Physics and Society · Physics 2015-06-18 Louis M. Shekhtman , Yehiel Berezin , Michael M. Danziger , Shlomo Havlin

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

It was recently found that cascading failures can cause the abrupt breakdown of a system of interdependent networks. Using the percolation method developed for single clustered networks by Newman [Phys. Rev. Lett. {\bf 103}, 058701 (2009)],…

Physics and Society · Physics 2013-03-11 Xuqing Huang , Shuai Shao , Huijuan Wang , Sergey V. Buldyrev , Shlomo Havlin , H. Eugene Stanley

Networks in nature rarely function in isolation but instead interact with one another with a form of a network of networks (NoN). A network of networks with interdependency between distinct networks contains instability of abrupt collapse…

Physics and Society · Physics 2018-04-20 Byungjoon Min , Muhua Zheng

We study the robustness of interdependent networks where two networks are said to be interdependent if the operation of one network depends on the operation of the other one, and vice versa. In this paper, we propose a model for analyzing…

Social and Information Networks · Computer Science 2016-05-05 Marzieh Parandehgheibi , Eytan Modiano

Assessing the resilience of the economy requires accounting for its intrinsic multi-layer nature, by assessing for instance how disruptions at the firm level spread through the production network and propagate to the banking sector. Methods…

Physics and Society · Physics 2026-03-11 Soumen Majhi , Anna Mancini , Giulio Cimini

An input-output model for networks with link uncertainty is developed. The main result presents a set of integral quadratic constraints (IQCs) that collectively imply robust stability of the uncertain network dynamics. The model dependency…

Systems and Control · Electrical Eng. & Systems 2025-12-25 Simone Mariano , Chung-Yao Kao , Michael Cantoni

Network reliability is the probability that a dynamical system composed of discrete elements interacting on a network will be found in a configuration that satisfies a particular property. We introduce a new reliability property, Ising…

Statistical Mechanics · Physics 2016-11-23 Yihui Ren , Stephen Eubank , Madhurima Nath

Through time series analysis, this paper empirically explores, confirms and extends the trademark/patent inter-relationship as proposed in the normative intellectual-property (IP)-oriented Innovation Agenda view of the science and…

Econometrics · Economics 2021-03-12 Iraj Daizadeh

Reliable functioning of infrastructure networks is essential for our modern society. Cascading failures are the cause of most large-scale network outages. Although cascading failures often exhibit dynamical transients, the modeling of…

Adaptation and Self-Organizing Systems · Physics 2020-08-18 Benjamin Schäfer , Dirk Witthaut , Marc Timme , Vito Latora

The worldwide trade network has been widely studied through different data sets and network representations with a view to better understanding interactions among countries and products. Here we investigate international trade through the…

Physics and Society · Physics 2018-12-12 Luiz G. A. Alves , Giuseppe Mangioni , Francisco A. Rodrigues , Pietro Panzarasa , Yamir Moreno

Coupling cyber and physical systems gives rise to numerous engineering challenges and opportunities. An important challenge is the contagion of failure from one system to another, that can lead to large scale cascading failures. On the…

Social and Information Networks · Computer Science 2017-01-02 Ali Behfarnia , Ali Eslami

Devices in computer networks cannot work without essential network services provided by a limited count of devices. Identification of device dependencies determines whether a pair of IP addresses is a dependency, i.e., the host with the…

Cryptography and Security · Computer Science 2024-07-04 Lukáš Sadlek , Martin Husák , Pavel Čeleda

We study a problem of failure of two interdependent networks in the case of correlated degrees of mutually dependent nodes. We assume that both networks (A and B) have the same number of nodes $N$ connected by the bidirectional dependency…

Disordered Systems and Neural Networks · Physics 2015-05-20 Sergey V. Buldyrev , Nathaniel Shere , Gabriel A. Cwilich