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

Authors
Muraki, N
Citation
N. Muraki, Monotonic independence, monotonic central limit theorem and monotonic law of small numbers, INFIN DIMEN, 4(1), 2001, pp. 39-58
Citations number
19
Categorie Soggetti
Mathematics
Journal title
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS
ISSN journal
02190257 → ACNP
Volume
4
Issue
1
Year of publication
2001
Pages
39 - 58
Database
ISI
SICI code
0219-0257(200103)4:1<39:MIMCLT>2.0.ZU;2-A
Abstract
A notion of "monotonic independence" is formulated in the setting of C*-pro bability space. Based on this independence, a noncommutative central limit theorem and a noncommutative law of small numbers are given.