ASYMPTOTIC SPECTRAL ANALYSIS OF A GENERALIZED N-CUBE BY A QUANTUM PROBABILISTIC METHOD-Reference-Cited by-同舟云学术

ASYMPTOTIC SPECTRAL ANALYSIS OF A GENERALIZED N-CUBE BY A QUANTUM PROBABILISTIC METHOD

Published:2011-09 Issue:03 Volume:14 Page:409-417
ISSN:0219-0257
Container-title:Infinite Dimensional Analysis, Quantum Probability and Related Topics
language:en
Short-container-title:Infin. Dimens. Anal. Quantum. Probab. Relat. Top.

Author:

KURIHARA JUN¹,HIBINO YUJI²

Affiliation:

1. Department of Science and Advanced Technology, Graduate School of Science and Engineering, Saga University Honjo 1, Saga 8408502, Japan

2. Department of Mathematics, Graduate School of Science and Engineering, Saga University Honjo 1, Saga 8408502, Japan

Abstract

We construct a growing graph such that the Jacobi coefficient of the asymptotic spectral distribution is [Formula: see text]. The distribution is a χ2 distribution with one degree of freedom normalized to have mean 0 and variance 1.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219025711004432

Reference9 articles.

1. A QUANTUM ASPECT OF ASYMPTOTIC SPECTRAL ANALYSIS OF LARGE HAMMING GRAPHS

2. CREATION-ANNIHILATION PROCESSES ON CELLAR COMPLECIES

3. Asymptotic spectral analysis of growing regular graphs

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