Orthogonal decompositions and functional limit theorems for random graph statistics Svante Janson. Memoirs of the American Mathematical Society 534.

Janson, Svante:

ISBN 10: 082182595X / ISBN 13: 9780821825952

Published by Providence, American Mathematical Society, 1994

About this Item

Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 60 JAN 9780821825952 Sprache: Englisch Gewicht in Gramm: 550.

Seller Inventory # 2504189

Bibliographic Details

• Title: Orthogonal decompositions and functional limit theorems for random graph statistics Svante Janson. Memoirs of the American Mathematical Society 534.
• Publisher: Providence, American Mathematical Society
• Publication Date: 1994
• Language: English
• ISBN 10: 082182595X
• ISBN 13: 9780821825952
• Binding: Softcover
• Weight: 550 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

Synopsis

This book develops a method to obtain limit theorems for various functionals of random graphs. The method is based on a certain orthogonal decomposition. Janson's results include limit theorems for the two standard random graph models, $G_{n,p}$ and $G_{n,m}$, as well as functional limit theorems for the evolution of a random graph and results on the maximum of a function during the evolution. Janson obtains both normal and nonnormal limits, and the method provides an explanation for the appearance of nonnormal limits. Applications to subgraph counts and to vertex degrees are presented as examples.