We analyze the asymptotic behavior of general first order Laplacian processes on digraphs. The most important ones of these are diffusion and consensus with both continuous and discrete time. We treat diffusion and consensus as dual processes. This is the first complete exposition of this material in a single work.
@article{arxiv.2002.02605,
title = {A Primer on Laplacian Dynamics in Directed Graphs},
author = {J. J. P. Veerman and Robert Lyons},
journal= {arXiv preprint arXiv:2002.02605},
year = {2020}
}
Comments
24 pages, 5 figures, summer-school/conference on mathematical modeling of complex systems in Pescara, 2019