Geodesic
Haldane--Wu statistics and Rogers dilogarithm
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 17, Tome 291 (2002), pp. 64-77

Voir la notice de l'article provenant de la source Math-Net.Ru

The Haldane–Wu exclusion statistics is considered from the generalized extensive statistics point of view and certain related mathematical aspects are investigated. A series representation for the corresponding generating function is proven. Equivalence of two formulas for the central charge, derived for the Haldane–Wu statistics via the thermodynamic Bethe ansatz, is established. As a corollary, a series representation with a free parameter for the Rogers dilogarithm is found. It is shown that the generating function, the entropy, and the central charge for the Gentile statistics majorize those for the Haldane–Wu statistics (under appropriate choice of parameters). From this, some dilogarithm inequality is derived. 
@article{ZNSL_2002_291_a4,
     author = {A. G. Bytsko},
     title = {Haldane--Wu statistics and {Rogers} dilogarithm},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {64--77},
     publisher = {mathdoc},
     volume = {291},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2002_291_a4/}
}
TY  - JOUR
AU  - A. G. Bytsko
TI  - Haldane--Wu statistics and Rogers dilogarithm
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2002
SP  - 64
EP  - 77
VL  - 291
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2002_291_a4/
LA  - ru
ID  - ZNSL_2002_291_a4
ER  - 
%0 Journal Article
%A A. G. Bytsko
%T Haldane--Wu statistics and Rogers dilogarithm
%J Zapiski Nauchnykh Seminarov POMI
%D 2002
%P 64-77
%V 291
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_2002_291_a4/
%G ru
%F ZNSL_2002_291_a4
A. G. Bytsko. Haldane--Wu statistics and Rogers dilogarithm. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 17, Tome 291 (2002), pp. 64-77. http://geodesic.mathdoc.fr/item/ZNSL_2002_291_a4/