Convergence Analysis of Communication Networks

0. Systems theory I. Part 1: Convergence A. Two approaches to convergence B. A mathematical formulation of convergence C. Convergence is a Markov process D. Starting configuration doesn’t matter II. Part 2: Analysis A. Background and mathematical foundation 1. Stochastic matrices 2. The Eigenvalue problem 3. Spectral Decomposition 4. Spectral Decomposition of M B. The Algebraic View 1. Partitions 2. Colourings C. Geometric View 1. The Dr metric D. The Statistical View 1. Correspondence Analysis 2. The P Metric E. The Pragmatic view 1. Partial Decomposition 2. Partial Iteration F. Conclusions References

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