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5 papers · 2 filters
Data-driven non-Markovian closure models
Dmitri Kondrashov, Mickaël D. Chekroun, Michael Ghil
This paper has two interrelated foci: (i) obtaining stable and efficient data-driven closure models by using a multivariate time series of partial observations from a large-dimensi…
A line-breaking construction of the stable trees
Christina Goldschmidt, Bénédicte Haas
We give a new, simple construction of the -stable tree for . We obtain it as the closure of an increasing sequence of -trees inductively built by gluing…
Tight Bounds for Influence in Diffusion Networks and Application to Bond Percolation and Epidemiology
Remi Lemonnier, Kevin Scaman, Nicolas Vayatis
In this paper, we derive theoretical bounds for the long-term influence of a node in an Independent Cascade Model (ICM). We relate these bounds to the spectral radius of a particul…
SINR in wireless networks and the two-parameter Poisson-Dirichlet process
Holger Paul Keeler, Bartlomiej Blaszczyszyn
Stochastic geometry models of wireless networks based on Poisson point processes are increasingly being developed with a focus on studying various signal-to-interference-plus-noise…
The distribution of the quasispecies for the Wright-Fisher model on the sharp peak landscape
Joseba Dalmau
We consider the classical Wright-Fisher model with mutation and selection. Mutations occur independently in each locus, and selection is performed according to the sharp peak lands…