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math.PR2020
Local-density dependent Markov processes on graphons with epidemiological applications
Daniel Keliger, Illes Horvath, Balint Takacs
We investigate local-density dependent Markov processes on a class of large graphs sampled from a graphon, where the transition rates of the vertices are influenced by the states o…
math.PR2020
Mean field limit of local density-dependent Markov processes on weighted Erdos-Renyi graphs
Daniel Keliger, Illes Horvath
We study the asymptotic behaviour of Markov processes on large weighted Erdos-Renyi graphs where the transition rates of the vertices are only influenced by the state of their neig…