Asymptotic spectral analysis of a generalized n-cube by a quantum probabilistic method

Kurihara J.; Hibino Y.

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Asymptotic spectral analysis of a generalized n-cube by a quantum probabilistic method

机译：广义n立方的量子概率渐近谱分析。

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摘要

We construct a growing graph such that the Jacobi coefficient of the asymptotic spectral distribution is ({ω_n = n(2n-1)}, {α_n = 2√2(n-1)}). The distribution is a χ~2 distribution with one degree of freedom normalized to have mean 0 and variance 1.

机译：我们构造一个增长图，使渐近谱分布的雅可比系数为（{ω_n= n（2n-1）}，{α_n=2√2（n-1）}）。分布是χ〜2分布，其中一个自由度标准化为均值0和方差1。

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《Infinite dimensional analysis, quantum probability, and related topics》 |2011年第3期|共9页
作者
Kurihara J.; Hibino Y.;
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正文语种 eng
中图分类物理学;
关键词
Asymptotic spectral analysis; growing graph; N-cube; quadratic Jacobi parameter; quantum probability;

机译：渐近谱分析;增长图;N立方体;二次Jacobi参数;量子概率;

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专利

1. Asymptotic spectral analysis of a generalized n-cube by a quantum probabilistic method [J] . Kurihara J., Hibino Y. Infinite dimensional analysis, quantum probability, and related topics . 2011,第3期

机译：广义n立方的量子概率渐近谱分析。
2. Spectral asymptotic analysis in algebras of generalized functions [J] . Antoine Delcroix, Jean-Andre Marti, Michael Oberguggenberger Asymptotic analysis . 2008,第1a2期

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3. ANALYSIS OF THE SPECTRAL STABILITY OF THE GENERALIZED RUNGE-KUTTA METHODS APPLIED TO INITIAL-BOUNDARY-VALUE PROBLEMS FOR EQUATIONS OF THE PARABOLIC TYPE. Ⅱ. IMPLICIT METHODS [J] . A. P. Yankovskii Journal of Mathematical Sciences . 2019,第2期

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4. Analysis of conformal arrays using spectral domain approach — Comparison of different asymptotic extraction methods [C] . Bosiljevac Marko, Skokic Sinisa, Sipus Zvonimir Proceedings of the Fourth European Conference on Antennas and Propagation . 2010

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5. New asymptotic methods for the global analysis of ordinary differential equations and for non-selfadjoint spectral problems [D] . Xia, Xiaoyue 2015

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6. Dominating Scale-Free Networks Using Generalized Probabilistic Methods [O] . F. Molnár Jr., N. Derzsy, É. Czabarka, -1

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8. A study of the application of power-spectral methods of generalized harmonic analysis to gust loads on airplanes [R] . Press, Harry, Mazelsky, Bernard 1954

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Asymptotic spectral analysis of a generalized n-cube by a quantum probabilistic method

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