Guilherme Ferraz de Arruda

Team Leader

CENTAI Institute


I am a team leader at Centai. My interests are nonlinear dynamics and stochastic processes on top of complex networks and structured populations. More specifically, I am focusing on epidemic and rumor spreading in single and multilayer systems. Additionally, I am concerned about the structural characterization of multilayer networks, mainly through spectral theory. Recently, I am also involved in the study of higher-order interactions and hypergraphs, both from the structural and dynamics viewpoints. If you need further information, please don't hesitate to contact me.


  • Complex networks
  • Multilayer networks
  • Hypergraphs
  • Higher-order structures
  • Spreading processes
  • Stochastic process
  • Non-linear dynamics
  • Network spectra


  • Ph.D in Computer Science and applied Mathematics, 2017

    ICMC - Universidade de São Paulo

  • MsC in Computer Science and applied Mathematics, 2013

    ICMC - Universidade de São Paulo

  • Specialization in Digital Systems, 2011

    EESC - Universidade de São Paulo

  • Specialization in Control Theory, 2011

    EESC - Universidade de São Paulo

  • Electrical engineering, 2011

    EESC - Universidade de São Paulo

Recent Publications

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From unbiased to maximal entropy random walks on hypergraphs

Random walks have been intensively studied on regular and complex networks, which are used to represent pairwise interactions. …

On the temporal resolution limits of numerical simulations in complex systems

In this paper we formalize, using the Nyquist-Shannon theorem, a fundamental temporal resolution limit for numerical experiments in …

Assigning Entities to Teams as a Hypergraph Discovery Problem

We propose a team assignment algorithm based on a hypergraph approach focusing on resilience and diffusion optimization. Specifically, …

Contagion dynamics on higher-order networks

Understanding the dissemination of diseases, information, and behavior stands as a paramount research challenge in contemporary network …

Robustness and Complexity of Directed and Weighted Metabolic Hypergraphs

Metabolic networks are probably among the most challenging and important biological networks. Their study provides insight into how …

Replanting unproductive palm oil with smallholder plantations can help achieve Sustainable Development Goals in Sumatra, Indonesia

Oil palm (Elaeis guinensis) is a controversial crop. To assess its sustainability, we analysed the contribution of different types of …

Multistability, intermittency and hybrid transitions in social contagion models on hypergraphs

Although ubiquitous, interactions in groups of individuals are not yet thoroughly studied. Frequently, single groups are modeled as …

From subcritical behavior to a correlation-induced transition in rumor models

Rumors and information spreading emerge naturally from human-to-human interactions and have a growing impact on our everyday life due …

Modeling how social network algorithms can influence opinion polarization

The study of the dynamics of opinion formation and transmission in social networks has attracted lots of attention. Here, we propose a …

The physics of higher-order interactions in complex systems

Complex networks have become the main paradigm for modelling the dynamics of interacting systems. However, networks are intrinsically …

Social contagion on higher-order structures

In this Chapter, we discuss the effects of higher-order structures on SIS-like processes of social contagion. After a brief …

Contrastes Entre Interesses Individuais e Coletivos: Uma Discussão Sob a Ótica da Epidemiologia Matemática (Portuguese)

A pandemia de coronavírus tem criado um ambiente completamente anômalo, evidenciando diversos aspectos da nossa sociedade e gerando …

Phase transitions and stability of dynamical processes on hypergraphs

Hypergraphs naturally represent higher-order interactions, which persistently appear in social interactions, neural networks, and other …

Evolutionary Dynamics of Higher-Order Interactions

We live and cooperate in networks. However, links in networks only allow for pairwise interactions, thus making the framework suitable …

Universality of eigenvector delocalization and the nature of the SIS phase transition in multiplex networks

Universal spectral properties of multiplex networks allow us to assess the nature of the transition between disease-free and endemic …