Monotonic independence, monotonic central limit theorem and monotonic law of small numbers

被引：72

作者：

Muraki, N ^{[1
]}

机构：

[1] Iwate Prefectural Univ, Math Lab, Takizawa, Iwate 0200193, Japan

来源：

INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS | 2001年 / 4卷 / 01期

关键词：

D O I：

10.1142/S0219025701000334

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A notion of "monotonic independence" is formulated in the setting of C*-probability space. Based on this independence, a noncommutative central limit theorem and a noncommutative law of small numbers are given.

引用

页码：39 / 58

页数：20

共 19 条

[1] Interacting Fock spaces and Gaussianization of probability measures [J].

Accardi, L ;

Bozejko, M .

INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 1998, 1 (04) :663-670

[2] Notions of independence related to the free group [J].

Accardi, L ;

Hashimoto, Y ;

Obata, N .

INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 1998, 1 (02) :201-220

[3]

ACCARDI L, 1999, NAGOYA MATH LECT, V2

[4]

[Anonymous], 1993, QUANTUM PROBABILITY, DOI DOI 10.1007/978-3-662-21558-6

[5] AN EXAMPLE OF A GENERALIZED BROWNIAN-MOTION [J].

BOZEJKO, M ;

SPEICHER, R .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1991, 137 (03) :519-531

[6]

Bozejko M, 1996, PAC J MATH, V175, P357

[7]

Bozejko M., 1998, BANACH CTR PUBL, V43, P95

[8] ALGEBRAIC VERSION OF CENTRAL LIMIT-THEOREM [J].

GIRI, N ;

WALDENFELS, WV .

ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1978, 42 (02) :129-134

[9]

KUMMERER B, MARKOV DILATIONS NON

[10]

LU YG, 1997, PROB MATH STAT, V17, P1

← 1 2 →