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We consider asymptotic behaviour of diffusion and transport process on networks, when the parameters related to the transport speed/diffusion go to infinity, while the permeability coefficients at the nodes tend to zero. We show that, under certain conditions, such processes exhibit the so called \textit{state lumping}; that is, they can be approximated by linear dynamical systems governed by the adjacency matrices of the line graph of the original network. |
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