The complexity of many biological, social and technological systems stems from the richness interactions among their units. Over past decades, a great variety complex has been successfully described as networks whose interacting pairs nodes are connected by links. Yet, in face-to-face human communication, chemical reactions ecological systems, can occur groups three or more cannot be simply just terms simple dyads. Until recently, little attention devoted to higher-order architecture real...

In the past 20 years network science has proven its strength in modeling many real-world interacting systems as generic agents, nodes, connected by pairwise edges. Nevertheless, relevant cases, interactions are not but involve larger sets of nodes at a time. These thus better described framework hypergraphs, whose hyperedges effectively account for multibody interactions. Here we propose and study class random walks defined on such higher-order structures grounded microscopic physical model...

Traditionally, interaction systems have been described as networks, where links encode information on the pairwise influences among nodes. Yet, in many systems, interactions take place larger groups. Recent work has shown that higher-order between oscillators can significantly affect synchronization. However, these early studies mostly considered up to 4 at time, and analytical treatments are limited all-to-all setting. Here, we propose a general framework allows us effectively study...

Abstract Human social interactions in local settings can be experimentally detected by recording the physical proximity and orientation of people. Such interactions, approximating face-to-face communications, effectively represented as time varying networks with links being unceasingly created destroyed over time. Traditional analyses temporal have addressed mostly pairwise where describe dyadic connections among individuals. However, many network dynamics are hardly ascribable to but often...

Abstract Digital contact tracing is a relevant tool to control infectious disease outbreaks, including the COVID-19 epidemic. Early work evaluating digital omitted important features and heterogeneities of real-world patterns influencing contagion dynamics. We fill this gap with modeling framework informed by empirical high-resolution data analyze impact in pandemic. investigate how well apps, coupled quarantine identified contacts, can mitigate spread real environments. find that...

Complex networks represent the natural backbone to study epidemic processes in populations of interacting individuals. Such a modeling framework, however, is naturally limited pairwise interactions, making it less suitable properly describe social contagion, where individuals acquire new norms or ideas after simultaneous exposure multiple sources infections. Simplicial contagion has been proposed as an alternative framework simplices are used encode group interactions any order. The presence...

Contagion processes on networks, including disease spreading, information diffusion, or social behaviors propagation, can be modeled as simple contagion, i.e., a contagion process involving one connection at time, complex in which multiple interactions are needed for event. Empirical data spreading processes, however, even when available, do not easily allow us to uncover of these underlying mechanisms is work. We propose strategy discriminate between upon the observation single instance...

Abstract Temporal networks are essential for modeling and understanding time-dependent systems, from social interactions to biological systems. However, real-world data construct meaningful temporal expensive collect or unshareable due privacy concerns. Generating arbitrarily large anonymized synthetic graphs with the properties of networks, namely surrogate is a potential way bypass problem. it not easy build which do lack information on and/or topological input network their correlations....

Contagion processes, representing the spread of infectious diseases, information, or social behaviors, are often schematized as taking place on networks, which encode for instance interactions between individuals. The impact network structure spreading process has been widely investigated, but not reverse question: do different processes unfolding a given lead to infection patterns? How patterns depend model's parameters nature contagion processes? Here we address this issue by investigating...

The analysis of complex and time-evolving interactions, such as those within social dynamics, represents a current challenge in the science systems. Temporal networks stand suitable tool for schematizing systems, encoding all interactions appearing between pairs individuals discrete time. Over years, network has developed many measures to analyze compare temporal networks. Some them imply decomposition into small pieces interactions; i.e., only involving few nodes short time range. Along...

We propose a simple framework to understand commonly observed crisis waves in macroeconomic Agent Based models, that is also relevant variety of other physical or biological situations where synchronization occurs. compute exactly the phase diagram model and location transition parameter space. Many modifications extensions can be studied, confirming extremely robust against various sources noise imperfections.

Diffusion describes the motion of microscopic entities from regions high concentration to low concentration. In multiplex networks, flows can occur both within and across layers, super-diffusion, a regime where time scale reach equilibrium is smaller than that single networks in isolation, emerge due interplay these two mechanisms. limits strong weak inter-layer couplings diffusion has been linked spectrum supra-Laplacian associated system. However, general theory for emergence this behavior...

Transportation and distribution networks are a class of spatial that have been interest in recent years. These often characterized by the presence complex structures such as central loops paired with peripheral branches, which can appear both natural manmade systems, subway railway networks. In this study, we investigate conditions for emergence these nontrivial topological context human transportation cities. We propose simple model generation, where network lattice acts planar substrate...

ABSTRACT Digital contact tracing is a relevant tool to control infectious disease outbreaks, including the COVID-19 epidemic. Early work evaluating digital omitted important features and heterogeneities of real-world patterns influencing contagion dynamics. We fill this gap with modeling framework informed by empirical high-resolution data analyze impact in pandemic. investigate how well apps, coupled quarantine identified contacts, can mitigate spread real environments. find that...

Non-pharmaceutical measures such as preventive quarantines, remote working, school and workplace closures, lockdowns, etc. have shown effectiveness from an epidemic control perspective; however, they also significant negative consequences on social life relationships, work routines community engagement. In particular, complex ideas, collaborations, innovative discoveries resilient norms formation maintenance, which often require face-to-face interactions of two or more parties to be...

Abstract Temporal graphs are structures which model relational data between entities that change over time. Due to the complex structure of data, mining statistically significant temporal subgraphs, also known as motifs, is a challenging task. In this work, we present an efficient technique for extracting motifs in networks. Our method based on novel notion egocentric neighborhoods, namely multi-layer centered ego node. Each layer consists first-order neighborhood node, and corresponding...

We introduce and study a metapopulation model of random walkers interacting at the nodes complex network. The integrates relocation moves over links network with local interactions depending on node occupation probabilities. is highly versatile, as motion can be fed topological properties nodes, such their degree, while any general nonlinear function probability considered reaction term. In addition to this, relative strength tuned will, specific application being examined. derive an...

Abstract Digital contact tracing is increasingly considered as a tool to control infectious disease outbreaks. As part of broader test, trace, isolate, and quarantine strategy, digital contract apps have been proposed alleviate lock-downs, return societies more normal situation in the ongoing COVID-19 crisis. Early work evaluating did not consider important features heterogeneities present real-world patterns which impact epidemic dynamics. Here, we fill this gap by considering modeling...

Given a reaction-diffusion system interacting via complex network, we propose two different techniques to modify the network topology while preserving its dynamical behaviour. In region of parameters where homogeneous solution gets spontaneously destabilized, perturbations grow along unstable directions made available across networks connections, yielding irregular spatio-temporal patterns. We exploit spectral properties Laplacian operator associated graph in order topology, manifold...

Policy makers have implemented multiple non-pharmaceutical strategies to mitigate the COVID-19 worldwide crisis. Interventions had aim of reducing close proximity interactions, which drive spread disease. A deeper knowledge human physical interactions has revealed necessary, especially in all settings involving children, whose education and gathering activities should be preserved. Despite their relevance, almost no data are available on contacts among children schools or other educational...

Multidimensional systems coupled via complex networks are widespread in nature and thus frequently invoked for a large plethora of interesting applications. From ecology to physics, individual entities mutual interactions grouped families, homogeneous kind. These latter interact selectively, through sequence self-consistently regulated steps, whose deeply rooted architecture is stored the assigned matrix connections. The asymptotic equilibrium eventually attained by system, its associated...