Orthogonal decompositions and functional limit theorems for random graph statistics /

Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Janson, Svante (Auteur)
Format: Électronique eBook
Langue:Inglés
Publié: Providence, Rhode Island : American Mathematical Society, 1994.
Collection:Memoirs of the American Mathematical Society ; no. 534.
Sujets:
Random graphs.
Central limit theorem.
Orthogonal decompositions.
Graphes aléatoires.
Théorème central limite.
Décompositions orthogonales.
Central limit theorem
Orthogonal decompositions
Random graphs
Accès en ligne:Texto completo
Table des matières:
  • 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

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