The Complex Systems and Networks Seminar is held every Thursday at 14.00. The seminar is a combination of scholars talking about their own work and journal club presentations. Everybody is welcome to attend the seminar. Please do not hesitate to contact the seminar organizers, Mikko Kivelä and Alex Jung, if you have any questions or suggestions.
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Thursday 2018-07-12 14.00 - 15.00
Seminar room T5, T-building
Hopping in the crowd to unveil network topology
We introduce a nonlinear operator to model diffusion on a complex undirected network under crowded conditions. We show that the asymptotic distribution of diffusing agents is a nonlinear function of the nodes’degree and saturates to a constant value for sufficiently large connectivities, at variance with standard diffusion in the absence of excluded-volume effects. Building on this observation, we define and solve an inverse problem, aimed at reconstructing the a priori unknown connectivity distribution. The method gathers all the necessary information by repeating a limited number of independent measurements of the asymptotic density at a single node, which can be chosen randomly. The technique is successfully tested against both synthetic and real data and is also shown to estimate with great accuracy the total number of nodes.
Reference: M. Asllani, T. Carletti, F. Di Patti, D. Fanelli, F. Piazza, Phys. Rev. Lett. 120, 158301 (2018)
Nothing from November 19, 2018 to March 19, 2019.