Random sets, q-distributions and quantum groups

被引:19
作者
Arik, M
Kornfilt, J
Yildiz, A
机构
[1] Bog̃aziçi University, Ctr. Turkish-Balkan Phys. Res. A., Bebek, Istanbul
关键词
non-extensivity; q-oscillators; quantum groups; q-distributions;
D O I
10.1016/S0375-9601(97)00670-1
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We have shown that the non-extensivity of classical set theory is related to unitary quantum groups. Using this nonextensivity property, we define a q-distribution, a binomial q-distribution and a Poisson ii-distribution. (C) 1997 Published by Elsevier Science B.V.
引用
收藏
页码:318 / 322
页数:5
相关论文
共 9 条
[1]   HILBERT SPACES OF ANALYTIC-FUNCTIONS AND GENERALIZED COHERENT STATES [J].
ARIK, M ;
COON, DD .
JOURNAL OF MATHEMATICAL PHYSICS, 1976, 17 (04) :524-527
[2]   OIL-EXPLORATION - SEQUENTIAL DECISIONS IN THE FACE OF UNCERTAINTY [J].
BENKHEROUF, L ;
BATHER, JA .
JOURNAL OF APPLIED PROBABILITY, 1988, 25 (03) :529-543
[3]   Continued fractions and fermionic representations for characters of M(p,p') minimal models [J].
Berkovich, A ;
McCoy, BM .
LETTERS IN MATHEMATICAL PHYSICS, 1996, 37 (01) :49-66
[4]   Finite q-differences and the discrete renormalization group [J].
Erzan, A .
PHYSICS LETTERS A, 1997, 225 (4-6) :235-238
[5]   A GROUP DYNAMIC-MODEL AND THE LOST GAMES DISTRIBUTION [J].
KEMP, AW ;
KEMP, CD .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1992, 21 (03) :791-798
[6]  
Pusz W., 1989, Reports on Mathematical Physics, V27, P231, DOI 10.1016/0034-4877(89)90006-2
[7]  
SICONG J, 1994, J PHYS A, V27, P493
[8]   NONEXTENSIVE PHYSICS - A POSSIBLE CONNECTION BETWEEN GENERALIZED STATISTICAL-MECHANICS AND QUANTUM GROUPS [J].
TSALLIS, C .
PHYSICS LETTERS A, 1994, 195 (5-6) :329-334
[9]   COMPACT MATRIX PSEUDOGROUPS [J].
WORONOWICZ, SL .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1987, 111 (04) :613-665