3 papers
math.PR2021
Markov processes on quasi-random graphs
Dániel Keliger
We study Markov population processes on large graphs, with the local state transition rates of a single vertex being linear function of its neighborhood. A simple way to approximat…
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…