Open AccessMathematicsComputer Science

J. J. P. Veerman, Robert Lyons

2020.2.7Nonlinear Phenomena in Complex Systems

DOI: 10.33581/1561-4085-2020-23-2-196-206

tlooto Summary

This work analyzes the asymptotic behavior of general first order Laplacian processes on digraphs with both continuous and discrete time and treats diffusion and consensus as dual processes.

Abstract

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.

Citation format

VEERMAN, J. J. P.; LYONS, Robert. A primer on laplacian dynamics in directed graphs [preprint]. arXiv, 2020. arXiv:2002.02605.