PUBLICATIONS
A continuously updated list is also available on Google Scholar and ORCID.
Peer-reviewed papers
• Carvalho, A.M.S.; Duarte-Filho, G.C.; Santos, F.A.N. ‘Intermediate time scale in the first product formation time distribution of Michaelis-Menten kinetics with inhibitors’, Physical Review E, v. 113, p. 034308 (2026).
• Bispo, B.C.; de Oliveira Neto, J.R.; Lima, J.B.; Santos, F.A.N. ‘From pairwise to higher-order brain community detection: a hypergraph signal processing approach on brain functional connectivity analysis’, Computers in Biology and Medicine, v. 201, p. 111409 (2026).
• Breedt, L.C.; Pontillo, G.; Santos, F.A.N.; Vriend, C.; Prados, F.; Wink, A.M.; Bisecco, A.; Cagol, A.; Calabrese, M.; Castellaro, M.; et al. ‘Structure-function multilayer network integration and cognition in multiple sclerosis’, Network Neuroscience, v. 10, p. 400-417 (2026).
• dos Santos, T.C.; de Araujo, D.B.; Felippe, H.; Miranda, J.G.V.; Palhano-Fontes, F.; do Rosário, R.S.; Onias, H.; Viol, A.; Viswanathan, G.M.; Santos, F.A.N. ‘An exploratory persistent-homology analysis of resting-state fMRI functional connectivity under Ayahuasca’, Chaos, Solitons & Fractals, v. 209, p. 118554 (2026).
• Castro, D.M.; Raposo, E.P.; Copelli, M.; Santos, F.A.N. ‘Interdependent scaling exponents in the human brain’, Physical Review Letters, v. 135, p. 198401 (2025).
• Barros de Souza, D.; Teodomiro, J.; Santos, F.A.N.; Jost, J.; Rodrigues, S.; et al. ‘Efficient set-theoretic algorithms for computing high-order Forman-Ricci curvature on abstract simplicial complexes’, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (2025).
• Di Gaetano, L.; Santos, F.A.N.; Battiston, F.; Bianconi, G.; Defenu, N.; Nissen, I.A.; van Straaten, E.C.W.; Hillebrand, A.; Millán, A.P. ‘Neighbourhood topology unveils pathological hubs in the brain networks of epilepsy-surgery patients’, Brain Communications, v. 7(6), fcaf431 (2025).
• Zimmermann, M.L.M.; Breedt, L.C.; Centeno, E.G.Z.; Reijneveld, J.C.; Santos, F.A.N.; Stam, C.J.; van Lingen, M.R.; Schoonheim, M.M.; Hillebrand, A.; Douw, L. ‘The relationship between pathological brain activity and functional network connectivity in glioma patients’, Journal of Neuro-Oncology, v. 166, p. 523-533 (2024).
• Hindriks, R.; Broeders, T.A.A.; Schoonheim, M.M.; Douw, L.; Santos, F.A.N.; van Wieringen, W.; Tewarie, P.K.B. ‘Higher-order functional connectivity analysis of resting-state functional magnetic resonance imaging data using multivariate cumulants’, Human Brain Mapping (2024).
• Calazans, M.A.A.; Ferreira, F.A.B.S.; Santos, F.A.N.; Madeiro, F.; Lima, J.B. ‘Machine learning and graph signal processing applied to healthcare: a review’, Bioengineering, v. 11(7), p. 671 (2024).
• van Lingen, M.R.; Breedt, L.C.; Geurts, J.J.G.; Hillebrand, A.; Klein, M.; Kouwenhoven, M.C.M.; Kulik, S.D.; Reijneveld, J.C.; Stam, C.J.; De Witt Hamer, P.C.; et al. ‘The longitudinal relation between executive functioning and multilayer network topology in glioma patients’, Brain Imaging and Behavior (2023).
• Bouman, P.M.; Noteboom, S.; Nóbrega Santos, F.A.; Beck, E.S.; Bliault, G.; Castellaro, M.; Calabrese, M.; Chard, D.T.; Eichinger, P.; Filippi, M.; et al. ‘Multicenter evaluation of AI-generated DIR and PSIR for cortical and juxtacortical multiple sclerosis lesion detection’, Radiology, v. 307(2), e221425 (2023).
• Breedt, L.C.; Santos, F.A.N.; Hillebrand, A.; Reneman, L.; van Rootselaar, A.-F.; Schoonheim, M.M.; Stam, C.J.; Ticheler, A.; Tijms, B.M.; Veltman, D.J.; Vriend, C.; Wagenmakers, M.J.; van Wingen, G.A.; Geurts, J.J.G.; Schrantee, A.; Douw, L. ‘Multimodal multilayer network centrality relates to executive functioning’, Network Neuroscience (2022).
• Amorim, E.; Moreira, R.A.; Santos, F.A.N. ‘The Euler Characteristic and Topological Phase Transitions in Complex Systems’, Journal of Physics: Complexity, v. 3, p. 025003 (2022).
• Zampieri Centeno, E.G.; Moreni, G.; Vriend, C.; Douw, L.; Santos, F.A.N. ‘A hands-on tutorial on network and topological neuroscience’, Brain Structure and Function, v. 227, p. 741-762 (2022).
• Douw, L.; Nissen, I.A.; Fitzsimmons, S.M.D.D.; Santos, F.A.N.; Hillebrand, A.; van Straaten, E.C.W.; Stam, C.J.; De Witt Hamer, P.C.; Baayen, J.C.; Klein, M.; Reijneveld, J.C.; Heyer, D.B.; Verhoog, M.B.; Wilbers, R.; Hunt, S.; Mansvelder, H.D.; Geurts, J.J.G.; de Kock, C.P.J.; Goriounova, N.A. ‘Cellular Substrates of Functional Network Integration and Memory in Temporal Lobe Epilepsy’, Cerebral Cortex, bhab349 (2022).
• de Souza, D.B.; Araújo, H.A.; Duarte-Filho, G.C.; Gaffney, E.A.; Santos, F.A.N.; Raposo, E.P. ‘Fock-space approach to stochastic susceptible-infected-recovered models’, Physical Review E, v. 106, p. 014136 (2022).
• de Souza, D.B.; dos Santos, E.F.; Santos, F.A.N. ‘The Euler characteristic as a topological marker for outbreaks in vector-borne disease’, Journal of Statistical Mechanics: Theory and Experiment, v. 2022, p. 123501 (2022).
• Barros de Souza, D.; da Cunha, J.T.S.; Figueirôa dos Santos, E.; Correia, J.B.; da Silva, H.P.; de Lima Filho, J.L.; Albuquerque, J.; Santos, F.A.N. ‘Using discrete Ricci curvatures to infer COVID-19 epidemic network fragility and systemic risk’, Journal of Statistical Mechanics: Theory and Experiment, v. 5, p. 053501 (2021).
• Araújo, R.; Miranda Filho, L.H.; Santos, F.A.N.; Coutinho-Filho, M.D. ‘Geometry and molecular dynamics of the Hamiltonian mean-field model in a magnetic field’, Physical Review E, v. 103, p. 012203 (2021).
• Serafim, F.; Santos, F.A.N.; Lima, J.R.F.; Fumeron, S.; Berche, B.; Moraes, F. ‘Magnetic and geometric effects on the electronic transport of metallic nanotubes’, Journal of Applied Physics, v. 129, p. 044301 (2021).
• Tijhuis, F.B.; Broeders, T.A.A.; Santos, F.A.N.; Schoonheim, M.M.; Killestein, J.; Leurs, C.E.; van Geest, Q.; Steenwijk, M.D.; Geurts, J.J.G.; Hulst, H.E.; Douw, L. ‘Dynamic functional connectivity as a neural correlate of fatigue in multiple sclerosis’, NeuroImage: Clinical, v. 29, p. 102556 (2021).
• Piropo, M.; Moraes, F.; Santos, F.A.N. ‘Surfing on curved surfaces - the Maple package Surf’, Computer Physics Communications, v. 249, p. 107002 (2020).
• Tewarie, P.; Prasse, B.; Meier, J.M.; Santos, F.A.N.; Douw, L.; Schoonheim, M.M.; Stam, C.J.; van Mieghem, P.; Hillebrand, A. ‘Mapping functional brain networks from the structural connectome: relating the series expansion and eigenmode approaches’, NeuroImage, v. 216, p. 116805 (2020).
• Fülöp, T.; Desroches, M.; Cohen, A.A.; Santos, F.A.N.; Rodrigues, S. ‘Why we should use topological data analysis in ageing: towards defining the topological shape of ageing’, Mechanisms of Ageing and Development, v. 192, p. 111390 (2020).
• Duarte-Filho, G.C.; Santos, F.A.N.; Gaffney, E.A. ‘Fock-space methods for diffusion: capturing volume exclusion via fermionic statistics’, Physical Review E, v. 102, p. 052101 (2020).
• Araújo, H.A.; Lukin, M.O.; da Luz, M.G.E.; Viswanathan, G.M.; Santos, F.A.N.; Raposo, E.P. ‘Revisiting Lévy flights on bounded domains: a Fock space approach’, Journal of Statistical Mechanics: Theory and Experiment, p. 083202 (2020).
• Santos, F.A.N.; Raposo, E.P.; Coutinho-Filho, M.D.; Copelli, M.; Stam, C.J.; Douw, L. ‘Topological phase transitions in functional brain networks’, Physical Review E, v. 100, p. 032414 (2019).
• Serafim, F.; Santos, F.A.N.; Lima, J.R.F.; Filgueiras, C.; Moraes, F. ‘Position-dependent mass effects in the electronic transport of two-dimensional quantum systems: applications to nanotubes’, Physica E: Low-dimensional Systems and Nanostructures, v. 108, p. 139-146 (2019).
• Santos, F.A.N.; da Silva, L.C.B.; Coutinho-Filho, M.D. ‘Topological approach to microcanonical thermodynamics and phase transition of interacting classical spins’, Journal of Statistical Mechanics: Theory and Experiment, p. 013202 (2017).
• Fumeron, S.; Berche, B.; Medina, E.; Santos, F.A.N.; Moraes, F. ‘Using torsion to manipulate spin currents’, Europhysics Letters, v. 117, p. 47007 (2017).
• Fumeron, S.; Berche, B.; Moraes, F.; Santos, F.A.N.; Pereira, E. ‘Geometrical optics limit of phonon transport in a channel of disclinations’, The European Physical Journal B, v. 90, p. 95 (2017).
• Santos, F.A.N.; Fumeron, S.; Berche, B.; Moraes, F. ‘Geometric effects in the electronic transport of deformed nanotubes’, Nanotechnology, v. 27, p. 135302 (2016).
• Fumeron, S.; Berche, B.; Santos, F.A.N.; Pereira, E.; Moraes, F. ‘Optics near a hyperbolic defect’, Physical Review A, v. 92, p. 063806 (2015).
• Santos, F.A.N.; Gadêlha, H.; Gaffney, E.A. ‘Fock space, symbolic algebra, and analytical solutions for small stochastic systems’, Physical Review E, v. 92, p. 062714 (2015).
• Rehn, J.A.; Santos, F.A.N.; Coutinho-Filho, M.D. ‘Combinatorial and topological analysis of the Ising chain in a field’, Brazilian Journal of Physics, v. 42, p. 410-421 (2012).
• Santos, F.A.N.; Coutinho-Filho, M.D. ‘Topology, symmetry, phase transitions, and noncollinear spin structures’, Physical Review E, v. 80, p. 031123 (2009).
Book chapters
• Santos, F.A.N.; Rehn, J.A.; Coutinho-Filho, M.D. ‘Topological and geometrical aspects of phase transitions’, In: Perspectives and Challenges in Statistical Physics and Complex Systems for the Next Decade, edited by G.M. Viswanathan, E.P. Raposo and M.G.E. da Luz. World Scientific Publishing, pp. 153-180 (2014).
Conference proceedings
• Bispo, B.C.; Sardellitti, S.; Santos, F.A.N.; Lima, J.B. ‘Learning higher-order interactions in brain networks via topological signal processing’, 33rd European Signal Processing Conference (EUSIPCO), pp. 2652-2656, IEEE (2025).
• Sardellitti, S.; Bispo, B.C.; Santos, F.A.N.; Lima, J.B. ‘Cross-Laplacians based topological signal processing over cell multicomplexes’, 33rd European Signal Processing Conference (EUSIPCO), pp. 2647-2651, IEEE (2025).
• Bispo, B.C.; Santos, F.A.N.; de Oliveira Neto, J.R.; Lima, J.B. ‘Emergence of higher-order functional brain connectivity with hypergraph signal processing’, 32nd European Signal Processing Conference (EUSIPCO), pp. 1332-1336, IEEE (2024).
• Zampieri Centeno, E.G.; Moreni, G.; Vriend, C.; Douw, L.; Santos, F.A.N. ‘A Python hands-on tutorial on network and topological neuroscience’, International Conference on Geometric Science of Information (GSI 2021), Lecture Notes in Computer Science, v. 12829, pp. 665-673, Springer, Cham (2021).
• Fumeron, S.; Berche, B.; Moraes, F.; Santos, F.A.N. ‘Tailoring energy levels with curvature? An illustration of Da Costa formalism’, Journal of Physics: Conference Series, v. 785, p. 012003 (2017).
Preprints
• Bispo, B.C.; Sardellitti, S.; Lima, J.B.; Santos, F.A.N. ‘Multimodal higher-order brain networks: a topological signal processing perspective’, arXiv:2603.29903 (2026).
• Merbis, W.; Santos, F.A.N.; Armas, J.; Pijpers, F.; Lees, M. ‘Hyperscaling of spatial fluctuations constrains the development of urban populations’, arXiv:2604.01969 (2026).
• Tabi, A.; Merbis, W.; Nóbrega Santos, F.A.; Solé, R. ‘Metabolic fluctuations explain allometric scaling diversity’, bioRxiv (2025).
• Sardellitti, S.; Bispo, B.C.; Santos, F.A.N.; Lima, J.B. ‘Topological signal processing over cell multicomplexes via cross-Laplacian operators’, arXiv:2510.09139 (2025).
• de Souza, D.B.; Teodomiro, J.; Santos, F.A.N.; Ding, M.; Sun, W.; Desroches, M.; Jost, J.; Rodrigues, S. ‘Efficient decomposition of Forman-Ricci curvature on Vietoris-Rips complexes and data applications’, arXiv:2504.21601 (2025).
• de Souza, D.B.; Teodomiro, J.; Santos, F.A.N.; Desroches, M.; Rodrigues, S. ‘Alternative set-theoretical algorithms for efficient computations of cliques in Vietoris-Rips complexes’, arXiv:2502.14593 (2025).
• Gisolf, R.; Santos, F.A.N.; Wierstra, F. ‘Beyond signal and noise: unravelling scale invariance in neuroscience and financial networks with topological data analysis’, arXiv:2311.17912 (2023).
• Moreira, R.A.; Braddell, R.; Santos, F.A.N.; Fülöp, T.; Desroches, M.; Ubarretxena-Belandia, I.; Rodrigues, S. ‘Discovering secondary protein structures via local Euler curvature’, bioRxiv (2023).
• Santos, A.; Moraes, F.; Santos, F.A.N.; Fumeron, S. ‘An Abelian Higgs model for disclinations in nematics’, arXiv:2303.01955 (2023).
• Santos, F.A.N.; Tewarie, P.K.B.; Baudot, P.; Luchicchi, A.; Barros de Souza, D.; Girier, G.; Millán, A.P.; Broeders, T.; Centeno, E.G.Z.; Cofré, R.; et al. ‘Emergence of high-order functional hubs in the human brain’, bioRxiv (2023).