학술논문
The Limit Theorem with Respect to the Matrices on Non-backtracking Paths of a Graph.
Document Type
Article
Author
Source
Subject
*LIMIT theorems
*CUSP forms (Mathematics)
*REGULAR graphs
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Language
ISSN
0218-0006
Abstract
We give a limit theorem with respect to the matrices related to non-backtracking paths of a regular graph. The limit obtained closely resembles the kth moments of the arcsine law. Furthermore, we obtain the asymptotics of the averages of the p m th Fourier coefficients of the cusp forms related to the Ramanujan graphs defined by A. Lubotzky, R. Phillips and P. Sarnak. [ABSTRACT FROM AUTHOR]