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In this paper we explore the evolution of transport capacity on networks with stochastic incidence of damage and accumulation of faults in their connections. For each damaged configuration of the network, we analyze a Markovian random…

Physics and Society · Physics 2019-09-05 A. P. Riascos , J. Wang-Michelitsch , T. M. Michelitsch

In this paper, we explore the reduction of functionality in a complex system as a consequence of cumulative random damage and imperfect reparation, a phenomenon modeled as a dynamical process on networks. We analyze the global…

Statistical Mechanics · Physics 2021-06-07 L. K. Eraso-Hernandez , A. P. Riascos , T. M. Michelitsch , J. Wang-Michelitsch

One dominant aspect of cities is transport and massive passenger mobilization which remains a challenge with the increasing demand on the public as cities grow. In addition, public transport infrastructure suffers from traffic congestion…

Physics and Society · Physics 2023-09-06 L. K. Eraso-Hernandez , A. P. Riascos , T. M. Michelitsch , J. Wang-Michelitsch

Antifragility characterizes the benefit of a dynamical system derived from the variability in environmental perturbations. Antifragility carries a precise definition that quantifies a system's output response to input variability. Systems…

Populations and Evolution · Quantitative Biology 2023-12-22 Cristian Axenie , Oliver López-Corona , Michail A. Makridis , Meisam Akbarzadeh , Matteo Saveriano , Alexandru Stancu , Jeffrey West

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

Major cities worldwide experience problems with the performance of their road transportation networks, and the continuous increase in traffic demand presents a substantial challenge to the optimal operation of urban road networks and the…

Systems and Control · Electrical Eng. & Systems 2026-05-18 Linghang Sun , Yifan Zhang , Cristian Axenie , Margherita Grossi , Anastasios Kouvelas , Michail A. Makridis

Localized perturbations in a real-world network have the potential to trigger cascade failures at the whole system level, hindering its operations and functions. Standard approaches analytically tackling this problem are mostly based either…

Physics and Society · Physics 2022-04-19 Angelo Valente , Manlio De Domenico , Oriol Artime

The optimal operation of transportation systems is often susceptible to unexpected disruptions. Many established control strategies reliant on mathematical models can struggle with real-world disruptions, leading to significant divergence…

Systems and Control · Electrical Eng. & Systems 2026-03-24 Linghang Sun , Michail A. Makridis , Alexander Genser , Cristian Axenie , Margherita Grossi , Anastasios Kouvelas

The behavior of complex networks under failure or attack depends strongly on the specific scenario. Of special interest are scale-free networks, which are usually seen as robust under random failure but appear to be especially vulnerable to…

Physics and Society · Physics 2010-07-06 B. Berche , C. von Ferber , T. Holovatch , Yu. Holovatch

Mobile robots are ubiquitous. Such vehicles benefit from well-designed and calibrated control algorithms ensuring their task execution under precise uncertainty bounds. Yet, in tasks involving humans in the loop, such as elderly or mobility…

Robotics · Computer Science 2023-12-08 Cristian Axenie , Matteo Saveriano

Antifragility is an economics term defined as measure of (monetary) benefits gained from the adverse events and variability of the markets. This paper integrates for the first time the antifragility into the network based on communication…

Networking and Internet Architecture · Computer Science 2026-01-14 Mounir Bensalem , Thomas Röthig , Admela Jukan

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

Recent advances in spatial and temporal networks have enabled researchers to more-accurately describe many real-world systems such as urban transport networks. In this paper, we study the response of real-world spatio-temporal networks to…

Physics and Society · Physics 2016-07-05 Matthew J. Williams , Mirco Musolesi

Random walks are the simplest way to explore or search a graph, and have revealed a very useful tool to investigate and characterize the structural properties of complex networks from the real world, e.g. they have been used to identify the…

Statistical Mechanics · Physics 2020-06-11 Timoteo Carletti , Malbor Asllani , Duccio Fanelli , Vito Latora

The behavior of complex networks under attack depends strongly on the specific attack scenario. Of special interest are scale-free networks, which are usually seen as robust under random failure or attack but appear to be especially…

Physics and Society · Physics 2009-04-03 C. von Ferber , T. Holovatch , Yu. Holovatch

The behaviour of complex networks under failure or attack depends strongly on the specific scenario. Of special interest are scale-free networks, which are usually seen as robust under random failure but appear to be especially vulnerable…

Physics and Society · Physics 2012-09-25 Bertrand Berche , Christian von Ferber , Taras Holovatch , Yurij Holovatch

Most models of complex systems have been homogeneous, i.e., all elements have the same properties (spatial, temporal, structural, functional). However, most natural systems are heterogeneous: few elements are more relevant, larger,…

Adaptation and Self-Organizing Systems · Physics 2025-12-22 Amahury Jafet López-Díaz , Fernanda Sánchez-Puig , Carlos Gershenson

Antifragility is a property from which systems are able to resist stress and furthermore benefit from it. Even though antifragile dynamics is found in various real-world complex systems where multiple subsystems interact with each other,…

Adaptation and Self-Organizing Systems · Physics 2026-02-04 Hyobin Kim , Omar K. Pineda , Carlos Gershenson

This paper deals with the detection and prediction of losses due to cyber attacks waged on vital networks. The accumulation of losses to a network during a series of attacks is modeled by a 2-dimensional monotone random walk process as…

Probability · Mathematics 2019-01-23 Jewgeni H. Dshalalow , Ryan T. White

We present our recent work on stochastic particle systems on complex networks. As a noninteracting system we first consider the diffusive motion of a random walker on heterogeneous complex networks. We find that the random walker is…

Statistical Mechanics · Physics 2007-05-23 Jae Dong Noh
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