A Primer on Laplacian Dynamics in Directed Graphs

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 i...

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Bibliographic Details
Main Authors Veerman, J. J. P, Lyons, Robert
Format Journal Article
LanguageEnglish
Published 06.02.2020
Subjects
Mathematics - Dynamical Systems
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Summary: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.
DOI:10.48550/arxiv.2002.02605