578 citations · 1.1k across the 14 of their papers we have counts for
14 papers
Beyond expressiveness in pairwise and higher-order models
Cyril Rommens, Pietro Traversa, Guilherme Ferraz de Arruda +1
The debate over pairwise and higher-order models is often framed as a contest of expressive power. This framing is misleading. A graph with arbitrary multivariate node functions ca…
The Informational Cost of Structure: Representational Complexity in Networked Dynamical Systems
Cyril Rommens, Pietro Traversa, Guilherme Ferraz de Arruda +1
How much information is required to represent a dynamical system in terms of an interaction structure and an evolution rule? We address this question using algorithmic information…
On the temporal resolution limits of numerical simulations in complex systems
Guilherme Ferraz de Arruda, Yamir Moreno
In this paper we formalize, using the Nyquist-Shannon theorem, a fundamental temporal resolution limit for numerical experiments in complex systems. A consequence of this limit is…
From unbiased to maximal entropy random walks on hypergraphs
Pietro Traversa, Guilherme Ferraz de Arruda, Yamir Moreno
Random walks have been intensively studied on regular and complex networks, which are used to represent pairwise interactions. Nonetheless, recent works have demonstrated that many…
Modeling how social network algorithms can influence opinion polarization
Henrique F. de Arruda, Felipe M. Cardoso, Guilherme F. de Arruda +3
Among different aspects of social networks, dynamics have been proposed to simulate how opinions can be transmitted. In this study, we propose a model that simulates the communicat…
Evolutionary dynamics of higher-order interactions in social networks
Unai Alvarez-Rodriguez, Federico Battiston, Guilherme Ferraz de Arruda +3
We live and cooperate in networks. However, links in networks only allow for pairwise interactions, thus making the framework suitable for dyadic games, but not for games that are…
Layer degradation triggers an abrupt structural transition in multiplex networks
Emanuele Cozzo, Guilherme Ferraz de Arruda, Francisco A. Rodrigues +1
Network robustness is a central point in network science, both from a theoretical and a practical point of view. In this paper, we show that layer degradation, understood as the co…
Impact of the distribution of recovery rates on disease spreading in complex networks
Guilherme Ferraz de Arruda, Giovanni Petri, Francisco A. Rodrigues +1
We study a general epidemic model with arbitrary recovery rate distributions. This simple deviation from the standard setup is sufficient to prove that heterogeneity in the dynamic…
Fundamentals of spreading processes in single and multilayer complex networks
Guilherme Ferraz de Arruda, Francisco A. Rodrigues, Yamir Moreno
Spreading processes have been largely studied in the literature, both analytically and by means of large-scale numerical simulations. These processes mainly include the propagation…
Diluted banded random matrices: Scaling behavior of eigenfunction and spectral properties
J. A. Mendez-Bermudez, Guilherme Ferraz de Arruda, Francisco A. Rodrigues +1
We demonstrate that the normalised localization length of the eigenfunctions of diluted (sparse) banded random matrices follows the scaling law . The scaling par…
Scaling Properties of Multilayer Random Networks
J. A. Méndez-Bermúdez, Guilherme Ferraz de Arruda, Francisco A. Rodrigues +1
Multilayer networks are widespread in natural and manmade systems. Key properties of these networks are their spectral and eigenfunction characteristics, as they determine the crit…
Disease Localization in Multilayer Networks
Guilherme Ferraz de Arruda, Emanuele Cozzo, Tiago P. Peixoto +2
We present a continuous formulation of epidemic spreading on multilayer networks using a tensorial representation, extending the models of monoplex networks to this context. We der…
A process of rumor scotching on finite populations
Guilherme Ferraz de Arruda, Elcio Lebensztayn, Francisco A. Rodrigues +1
Rumor spreading is a ubiquitous phenomenon in social and technological networks. Traditional models consider that the rumor is propagated by pairwise interactions between spreaders…
The role of centrality for the identification of influential spreaders in complex networks
Guilherme Ferraz de Arruda, André Luiz Barbieri, Pablo Martín Rodriguez +3
The identification of the most influential spreaders in networks is important to control and understand the spreading capabilities of the system as well as to ensure an efficient i…