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Treball de fi de grauData de publicació
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Si us plau utilitzeu sempre aquest identificador per citar o enllaçar aquest document: https://hdl.handle.net/2445/231459
Epidemic spreading in hyperbolic geometry
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Epidemic spreading on complex networks is strongly influenced by the underlying network structure. In this work we simulate stochastic SIR epidemics on networks generated with the S¹H² model and compare the results with non-geometric models, including Erdős–Rényi, Barabási-Albert and Configuration model. Using distance-dependent infection rates from the H² embedding and native S¹H² coordinates, we analyse the epidemic dynamics through the variability of the recovered nodes and the spatio-temporal distribution of infection events. We find that hyperbolic networks exhibit lower epidemic thresholds than non-geometric networks, consistent with a hierarchical radial placement of hubs in the centre of the hyperbolic plane enhancing the epidemic transmissibility. The average hyperbolic distance reached by the infection follows a universal rescaled behaviour largely independent of the network topology. Furthermore, only the hyperbolic model displays an approximately coherent wavefront-like propagation through latent space, whereas non-geometric networks exhibit almost instantaneous spreading with weak distance dependence. These results show that
hidden hyperbolic geometry qualitatively amplifies epidemic propagation and shapes the dynamical organisation of the spreading process.
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Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2026, Tutor: Marián Boguñá
Matèries (anglès)
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ROJO MÉRIDA, Adrià. Epidemic spreading in hyperbolic geometry. [consulted: 14 of September of 2026]. Available at: https://hdl.handle.net/2445/231459