PUBLICATIONS
Peer-reviewed papers
• 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’, (accepted for publication on Network Neuroscience).
• Amorim, E.; Moreira, R.A. and Santos, F.A.N. ‘The Euler Characteristic and Topological Phase Transitions in Complex Systems’, Journal of Physics, Complexity, 3 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 (2022). A summary was also published in: Nielsen F., Barbaresco F. (eds) Geometric Science of Information. GSI 2021. Lecture Notes in Computer Science, vol 12829. Springer, Cham. GitHub tutorial is available here.
• 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, (2021).
• 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.; Filho, L.H.M.; 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. 2021, p. 102556, (2021).
• 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).
• Fülöp, T.; Desroches, M.; 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. 2020, p. 111390, (2020).
• Araújo, H.A.; Lukin, M.O.; da Luz M.G.E.; Viswanathan G.M.; Santos F.A.N.; and Raposo, E.P. ‘Revisiting Lévy flights on bounded domains: a Fock space approach’ Journal of Statistical Mechanics. 083202, (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).
• Piropo, M.; Moraes, F.; Santos, F.A.N. ‘Surfing On Curved Surfaces - The Maple Package Surf’. Computer Physics Communications, V. 1, P. 107002 (2019).
• 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 100, 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 & Nanostructures, V. 108, P. 139, (2018).
• Fumeron, S.; Berche B.; Medina E., Santos, F.A.N.; and Moraes, F. ‘Using torsion to manipulate spin currents’, Europhysics Letters, v.117 47007, (2017).
• 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, 013202, (2017).
• Moraes, F.; Fumeron S.; Berche, B.; Santos, F.A.N.; Pereira, E. ‘Geometrical optics limit of phonon transport in a channel of disclinations’, European Physical Journal, B 90:95, (2017).
• Santos, F.A.N.; Fumeron, S.; Berche, B.; Moraes, F. ‘Geometric effects in the electronic transport of deformed nanotubes’ Nanotechnology (Bristol. Print), v.27, p.135302, (2016).
• Santos, F.A.N.; Gadêlha, H.; Gaffney, E.A. ‘Fock space, symbolic algebra, and analytical solutions for small stochastic systems’, Physical Review E, Statistical, Nonlinear, and Soft Matter Physics (Print), v.92, p.062714, (2015).
• Fumeron, S.; Berche, B.; Santos, F.A.N; Pereira, E.; Moraes, F. ‘Optics near a hyperbolic defect’, Physical Review. A, Atomic, Molecular, and Optical Physics (Online), v.92, p.063806, (2015).
• 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, (2104).
• 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, Statistical, Nonlinear, and Soft Matter Physics (Print), v.80, p.031123, (2009).