Orthogonal Decompositions and Functional Limit Theorems for Random Graph Statistics.
- 1st ed.
- 1 online resource (90 pages)
- Memoirs of the American Mathematical Society ; v.111 .
- Memoirs of the American Mathematical Society .
Intro -- Contents -- Chapter I. Foundations -- 1. Introduction -- 2. Preliminaries -- Graphs -- The Skorokhod topology -- Subsequences -- Continuous time martingales -- Semimartingales -- Wick products -- 3. The basic limit theorem -- 4. The orthogonal decomposition -- Chapter II. Limit theorems -- 5. Limits for G[sub(n,p)] -- 6. Limits for G[sub(n,m)] -- 7. Moment convergence -- 8. Functional convergence -- 9. The maximum -- Chapter III. Examples -- 10. Subgraph counts -- 11. Vertex degrees -- 12. Further examples -- References.
9781470401139
Random graphs. Central limit theorem. Orthogonal decompositions.