BM-central limit theorems for positive definite real symmetric matrices

Wysoczanski J

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BM-central limit theorems for positive definite real symmetric matrices

机译：正定实对称矩阵的BM中心极限定理

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摘要

The tan-central limit theorem for positive-definite real symmetric matrices and for homogeneous rooted trees are studied. The combinatorial nature of it is described. In addition, the construction of tan-product of graphs is given, which generalizes comb and boolean products. General properties of tan-extension operators are shown.

机译：研究了正定实对称矩阵和齐根树的正切极限定理。描述了它的组合性质。另外，给出了图的tan积的构造，其概括了梳和布尔积。显示了tan扩展运算符的一般属性。

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《Infinite dimensional analysis, quantum probability, and related topics》 |2008年第1期|共19页
作者
Wysoczanski J;
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正文语种 eng
中图分类物理学;
关键词
monotonic and boolean independence; partially ordered sets; positive-definite real symmetric matrices; central limit theorem; partitions; graphs; trees; MONOTONIC INDEPENDENCE;

机译：单调和布尔独立性;偏序集;正定实对称矩阵;中心极限定理;分区;图;树;单调独立;

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专利

1. BM-central limit theorems for positive definite real symmetric matrices [J] . Wysoczanski J Infinite dimensional analysis, quantum probability, and related topics . 2008,第1期

机译：正定实对称矩阵的BM中心极限定理
2. Bm-Independence and bm-Central Limit Theorems Associated with symmetric cones [J] . Wysoczaski J. Infinite dimensional analysis, quantum probability, and related topics . 2010,第3期

机译：与对称圆锥相关的Bm独立性和bm中心极限定理
3. THE CHENG-YAU METRICS ON REGULAR CONVEX CONES AS HARMONIC IMMERSIONS INTO THE SYMMETRIC SPACE OF POSITIVE DEFINITE REAL SYMMETRIC MATRICES [J] . Akagawa Shinya Osaka Journal of Mathematics . 2020,第3期

机译：常规凸锥体上的程玉度量作为谐波沉浸在正定真正对称矩阵的对称空间中
4. Convergence Theorems for the Splittings of Non-Hermitian Positive Definite Matrices [C] . Shu-Qian Shen, Juan Yu, Ting-Zhu Huang International Conference on Matrix Theory and Its Applications in China . 2006

机译：非封闭师积极矩阵分裂的融合定理
5. Statistical Analysis of Random Symmetric Positive Definite Matrices via Eigen-Decomposition [D] . Rooks, Brian. 2018

机译：基于特征分解的随机对称正定矩阵的统计分析
6. mbend: an R package for bending non-positive-definite symmetric matrices to positive-definite [O] . Mohammad Ali Nilforooshan 2020

机译：MBEND：用于弯曲非正定对称矩阵的R包到正定的
7. bm-Central Limit Theorems associated with non-symmetric positive cones [O] . Lahcen Oussi, Janusz Wysoczański 2019

机译：与非对称正锥相关的BM-中央极限定理
8. Survey of a class of algebraic multilevel interation methods for positive211 definite symmetric matrices [R] . Vassilevski, P. S., Axelsson, O. 1999

机译：正211对称矩阵的一类代数多层次交互方法综述

BM-central limit theorems for positive definite real symmetric matrices

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