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The Limit Theorem with Respect to the Matrices on Non-backtracking Paths of a Graph.
- Source :
-
Annals of Combinatorics . Jun2023, Vol. 27 Issue 2, p249-268. 20p. - Publication Year :
- 2023
-
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]
- Subjects :
- *LIMIT theorems
*CUSP forms (Mathematics)
*REGULAR graphs
Subjects
Details
- Language :
- English
- ISSN :
- 02180006
- Volume :
- 27
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Annals of Combinatorics
- Publication Type :
- Academic Journal
- Accession number :
- 164228025
- Full Text :
- https://doi.org/10.1007/s00026-022-00617-z