대한수학회지 (Journal of the Korean Mathematical Society)
- 제35권3호
- /
- Pages.675-690
- /
- 1998
- /
- 0304-9914(pISSN)
- /
- 2234-3008(eISSN)
A ROLE OF SINGLETONS IN QUANTUM CENTRAL LIMIT THEOREMS
- Accardi, Luigi (Graduate School of Polymathematics Nagoya University) ;
- Hashimoto, Yukihiro (Graduate School of Polymathematics Nagoya University) ;
- Obata, Nobuaki (Graduate School of Polymathematics Nagoya University)
- 발행 : 1998.08.01
초록
A role of singletons in quantum central limit theorems is studied. A common feature of quantum central limit distributions, the singleton condition which guarantees the symmetry of the limit distributions, is revisited in the category of discrete groups and monoids. Introducing a general notion of quantum independence, the singleton independence which include the singleton condition as an extremal case, we clarify the role of singletons and investigate the mechanism of arising non-symmetric limit distributions.
키워드