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lgli/M_Mathematics/Msb_Sborniki/Mmams_Memoirs AMS/Janson S. Orthogonal decompositions and functional limit theorems for random graph statistics (MEMO0534, AMS, 1994)(ISBN 9780821825952)(600dpi)(T)(O)(90s).djvu
Orthogonal Decompositions and Functional Limit Theorems for Random Graph Statistics 🔍
Svante Janson American Mathematical Society, Memoirs of the American Mathematical Society,, no. 534, Providence, RI, Rhode Island, 1994
英语 [en] · DJVU · 0.8MB · 1994 · 📘 非小说类图书 · 🚀/lgli/lgrs/nexusstc/zlib · Save
描述
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.
备用文件名
nexusstc/Orthogonal Decompositions and Functional Limit Theorems for Random Graph Statistics/790eb0e5d6338361cf53113c13c43b02.djvu
备用文件名
lgli/Janson_S._Orthogonal_decompositions_and_functional_limit_theorems_for_random_graph_statistics_(MEMO0534__AMS__1994)(ISBN_9780821825952)(600dpi)(T)(O)(90s).djvu
备用文件名
lgrsnf/Janson_S._Orthogonal_decompositions_and_functional_limit_theorems_for_random_graph_statistics_(MEMO0534__AMS__1994)(ISBN_9780821825952)(600dpi)(T)(O)(90s).djvu
备用文件名
zlib/Mathematics/Svante Janson/Orthogonal Decompositions and Functional Limit Theorems for Random Graph Statistics_3349959.djvu
备选作者
Janson, Svante
备用版本
United States, United States of America
备用版本
1995/06/01
元数据中的注释
0
元数据中的注释
lg2108130
元数据中的注释
{"isbns":["082182595X","9780821825952"],"last_page":78,"publisher":"Amer Mathematical Society","series":"Memoirs AMS 534"}
元数据中的注释
Includes bibliographical references (p. 77-78).
"September 1994, volume 111, number 534 (third of 5 numbers)."
备用描述
We define an orthogonal basis in the space of real-valued functions of a random graph, and prove a functional limit theorem for this basis. Limit theorems for other functions then follow by decomposition. The results include limit theorems for the two random graph models [italic]G[subscript italic]n, [subscript italic]p and [italic]G[subscript italic]n, [subscript italic]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. Both normal and non-normal limits are obtained. As examples, applications are given to subgraph counts and to vertex degrees
备用描述
Develops a method to obtain limit theorems for various functionals of random graphs. This title presents results that 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.
开源日期
2017-09-11
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