Quantum limit theorems

• Autorzy: Katarzyna Lubnauer
• Języki publikacji: EN

Abstrakty

EN

A noncommutative analogue of limit theorems in classical probability theory for distributions of canonical pairs of observables is considered. A complete description of all limit probability operators which are quantum counterparts of the classical infinitely divisible and semistable laws is obtained in the case when scalar norming is generalised to norming by 2 × 2 matrices.

Kategorie tematyczne

• 46L53: Noncommutative probability and statistics
• 60F05: Central limit and other weak theorems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2004
• Tom: 164
• Numer: 2
• Strony: 103-120

Daty

wydano

2004

Twórcy

autor

Katarzyna Lubnauer

• Faculty of Mathematics, Łódź University, S. Banacha 22, 90-238 Łódź, Poland

Identyfikatory

DOI

10.4064/sm164-2-1