Orthogonal Decompositions and Functional Limit Theorems for Random Graph Statistics is popular PDF and ePub book, written by Svante Janson in 1994, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Orthogonal Decompositions and Functional Limit Theorems for Random Graph Statistics can be Read Online from any device for your convenience.
Orthogonal Decompositions and Functional Limit Theorems for Random Graph Statistics Book PDF Summary
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.
Detail Book of Orthogonal Decompositions and Functional Limit Theorems for Random Graph Statistics PDF
- Author : Svante Janson
- Release : 19 September 1994
- Publisher : American Mathematical Soc.
- ISBN : 9780821825952
- Genre : Mathematics
- Total Page : 90 pages
- Language : English
- PDF File Size : 14,5 Mb
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