1.

Record Nr.

UNINA9910480746903321

Autore

Janson Svante

Titolo

Orthogonal decompositions and functional limit theorems for random graph statistics / / Svante Janson

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 1994

©1994

ISBN

1-4704-0113-4

Descrizione fisica

1 online resource (90 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; Number 534

Disciplina

511/.5

Soggetti

Random graphs

Central limit theorem

Orthogonal decompositions

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"September 1994, volume 111, number 534 (third of 5 numbers)."

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""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""