<> "The repository administrator has not yet configured an RDF license."^^ . <> . . . "Analytically solvable model of spreading dynamics with non-Poissonian processes"^^ . "Non-Poissonian bursty processes are ubiquitous in natural and social phenomena, yet little is known about their effects on the large-scale spreading dynamics. In order to characterize these effects, we devise an analytically solvable model of susceptible-infected spreading dynamics in infinite systems for arbitrary inter-event time distributions and for the whole time range. Our model is stationary from the beginning, and the role of the lower bound of inter-event times is explicitly considered. The exact solution shows that for early and intermediate times, the burstiness accelerates the spreading as compared to a Poisson-like process with the same mean and same lower bound of inter-event times. Such behavior is opposite for late-time dynamics in finite systems, where the power-law distribution of inter-event times results in a slower and algebraic convergence to a fully infected state in contrast to the exponential decay of the Poisson-like process. We also provide an intuitive argument for the exponent characterizing algebraic convergence."^^ . "2014-03" . . "4" . . "American Physical Society"^^ . . . "Physical Review X"^^ . . . "21603308" . . . . . . . . . . . . . . . . "Kimmo"^^ . "Kaski"^^ . "Kimmo Kaski"^^ . . "Juan I."^^ . "Perotti"^^ . "Juan I. Perotti"^^ . . "Hang-Hyun"^^ . "Jo"^^ . "Hang-Hyun Jo"^^ . . "János"^^ . "Kertész"^^ . "János Kertész"^^ . . . . . . "Analytically solvable model of spreading dynamics with non-Poissonian processes (PDF)"^^ . . . . . . "PhysRevX_Perotti_2014.pdf"^^ . . . "Analytically solvable model of spreading dynamics with non-Poissonian processes (Other)"^^ . . . . . . "lightbox.jpg"^^ . . . "Analytically solvable model of spreading dynamics with non-Poissonian processes (Other)"^^ . . . . . . "preview.jpg"^^ . . . "Analytically solvable model of spreading dynamics with non-Poissonian processes (Other)"^^ . . . . . . "medium.jpg"^^ . . . "Analytically solvable model of spreading dynamics with non-Poissonian processes (Other)"^^ . . . . . . "small.jpg"^^ . . "HTML Summary of #2403 \n\nAnalytically solvable model of spreading dynamics with non-Poissonian processes\n\n" . "text/html" . . . "QC Physics"@en . .