A Primer on Laplacian Dynamics in Directed Graphs
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- February 2020
- DOI:
- 10.48550/arXiv.2002.02605
- arXiv:
- arXiv:2002.02605
- Bibcode:
- 2020arXiv200202605V
- Keywords:
-
- Mathematics - Dynamical Systems;
- 05C20;
- 37-01
- E-Print:
- 24 pages, 5 figures, summer-school/conference on mathematical modeling of complex systems in Pescara, 2019