Q.L. Li (2016). Nonlinear Markov processes in big networks. Special Matrices, Vol. 4, 202-217. arxiv.org: 1504.07974, Pages 1-28. In: 24th International Workshop on Matrices and Statistics, May 25-28, 2015, Haikou, China, Pages 173-188.
Big networks express multiple classes of large-scale networks in many practical areas such as computer networks, internet of things, cloud computation, manufacturing systems, transportation networks, and healthcare systems. This paper analyzes such big networks, and applies the mean-eld theory and the nonlinear Markov processes to constructing a broad class of nonlinear continuous-time block-structured Markov processes, which can be used to deal with many practical stochastic systems. First