Random sets, q-distributions and quantum groups

M. Arik; J. Kornfilt; A. Yildiz

doi:10.1016/S0375-9601(97)00670-1

Random sets, q-distributions and quantum groups

M. Arik^*, J. Kornfilt, A. Yildiz

^*Corresponding author for this work

Bogazici University

Research output: Contribution to journal › Article › peer-review

20 Citations (Scopus)

Abstract

We have shown that the non-extensivity of classical set theory is related to unitary quantum groups. Using this non-extensivity property, we define a q-distribution, a binomial q-distribution and a Poisson q-distribution.

Original language	English
Pages (from-to)	318-322
Number of pages	5
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	235
Issue number	4
DOIs	https://doi.org/10.1016/S0375-9601(97)00670-1
Publication status	Published - 10 Nov 1997
Externally published	Yes

Keywords

Non-extensivity
q-distributions
q-oscillators
Quantum groups

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10.1016/S0375-9601(97)00670-1

Cite this

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title = "Random sets, q-distributions and quantum groups",

abstract = "We have shown that the non-extensivity of classical set theory is related to unitary quantum groups. Using this non-extensivity property, we define a q-distribution, a binomial q-distribution and a Poisson q-distribution.",

keywords = "Non-extensivity, q-distributions, q-oscillators, Quantum groups",

author = "M. Arik and J. Kornfilt and A. Yildiz",

year = "1997",

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doi = "10.1016/S0375-9601(97)00670-1",

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T1 - Random sets, q-distributions and quantum groups

AU - Arik, M.

AU - Kornfilt, J.

AU - Yildiz, A.

PY - 1997/11/10

Y1 - 1997/11/10

N2 - We have shown that the non-extensivity of classical set theory is related to unitary quantum groups. Using this non-extensivity property, we define a q-distribution, a binomial q-distribution and a Poisson q-distribution.

AB - We have shown that the non-extensivity of classical set theory is related to unitary quantum groups. Using this non-extensivity property, we define a q-distribution, a binomial q-distribution and a Poisson q-distribution.

KW - Non-extensivity

KW - q-distributions

KW - q-oscillators

KW - Quantum groups

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U2 - 10.1016/S0375-9601(97)00670-1

DO - 10.1016/S0375-9601(97)00670-1

M3 - Article

AN - SCOPUS:0000921974

SN - 0375-9601

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SP - 318

EP - 322

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 4

ER -

Random sets, q-distributions and quantum groups

Abstract

Keywords

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