\(q\)-deformed probability and binomial distribution

DOI10.1007/BF00673832zbMath0841.60095MaRDI QIDQ1909309

Ki-Soo Chung, Won-Sang Chung, Hye-Jung Kang, Nan-Young Choi

Publication date: 18 July 1996

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

\(q\)-deformed binomial distribution\(q\)-deformed probability

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Other physical applications of random processes (60K40)

Cites Work

• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• \(q\)-permutations and \(q\)-combinations
• A CLASSICAL REALIZATION OF QUANTUM ALGEBRAS
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• The quantum group SU_q(2) and a q-analogue of the boson operators
• Generalized deformed oscillator and nonlinear algebras
• New deformed boson algebra
• Hilbert spaces of analytic functions and generalized coherent states

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