Abstract
We explore the generalization of the ordinary multinomial coefficient, based on the deformed q-multiplication and q-division. Aim of this study is to construct the appropriate multinomial coefficients, from which one can obtain the Tsallis, Rényi and nonextensive Gaussian entropy, respectively. We show that for all three above entropies there are two possible ways to define the generalized multinomial coefficient. Its consequence is discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 119-134 |
| Number of pages | 16 |
| Journal | Physica A: Statistical Mechanics and its Applications |
| Volume | 386 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Dec 1 2007 |
| Externally published | Yes |
Fingerprint
Keywords
- Generalized factorial
- Generalized multinomial coefficient
- Nonextensive Gaussian entropy
- Rényi entropy
- Tsallis entropy
ASJC Scopus subject areas
- Mathematical Physics
- Statistical and Nonlinear Physics
Cite this
Tsallis, Rényi and nonextensive Gaussian entropy derived from the respective multinomial coefficients. / Oikonomou, Th.
In: Physica A: Statistical Mechanics and its Applications, Vol. 386, No. 1, 01.12.2007, p. 119-134.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Tsallis, Rényi and nonextensive Gaussian entropy derived from the respective multinomial coefficients
AU - Oikonomou, Th
PY - 2007/12/1
Y1 - 2007/12/1
N2 - We explore the generalization of the ordinary multinomial coefficient, based on the deformed q-multiplication and q-division. Aim of this study is to construct the appropriate multinomial coefficients, from which one can obtain the Tsallis, Rényi and nonextensive Gaussian entropy, respectively. We show that for all three above entropies there are two possible ways to define the generalized multinomial coefficient. Its consequence is discussed.
AB - We explore the generalization of the ordinary multinomial coefficient, based on the deformed q-multiplication and q-division. Aim of this study is to construct the appropriate multinomial coefficients, from which one can obtain the Tsallis, Rényi and nonextensive Gaussian entropy, respectively. We show that for all three above entropies there are two possible ways to define the generalized multinomial coefficient. Its consequence is discussed.
KW - Generalized factorial
KW - Generalized multinomial coefficient
KW - Nonextensive Gaussian entropy
KW - Rényi entropy
KW - Tsallis entropy
UR - http://www.scopus.com/inward/record.url?scp=35148837657&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=35148837657&partnerID=8YFLogxK
U2 - 10.1016/j.physa.2007.08.025
DO - 10.1016/j.physa.2007.08.025
M3 - Article
AN - SCOPUS:35148837657
VL - 386
SP - 119
EP - 134
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
SN - 0378-4371
IS - 1
ER -