On the Distribution of Integer Random Variables Related by a Certain Linear Inequality. II
Matematičeskie zametki, Tome 83 (2008) no. 3, pp. 381-401
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We continue our study of the problem on the allocation of indistinguishable particles to integer energy levels under the condition that the total energy of the system is bounded above. It is shown that the Bose condensation phenomenon can occur in this model. Systems of dimension $d<1$ (including negative dimensions) are studied.
Keywords:
Bose-Einstein statistics, Bose condensate, system of negative dimension, cumulative distribution
Mots-clés : convergence, limit distribution.
Mots-clés : convergence, limit distribution.
@article{MZM_2008_83_3_a5,
author = {V. P. Maslov and V. E. Nazaikinskii},
title = {On the {Distribution} of {Integer} {Random} {Variables} {Related} by a {Certain} {Linear} {Inequality.~II}},
journal = {Matemati\v{c}eskie zametki},
pages = {381--401},
year = {2008},
volume = {83},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2008_83_3_a5/}
}
TY - JOUR AU - V. P. Maslov AU - V. E. Nazaikinskii TI - On the Distribution of Integer Random Variables Related by a Certain Linear Inequality. II JO - Matematičeskie zametki PY - 2008 SP - 381 EP - 401 VL - 83 IS - 3 UR - http://geodesic.mathdoc.fr/item/MZM_2008_83_3_a5/ LA - ru ID - MZM_2008_83_3_a5 ER -
V. P. Maslov; V. E. Nazaikinskii. On the Distribution of Integer Random Variables Related by a Certain Linear Inequality. II. Matematičeskie zametki, Tome 83 (2008) no. 3, pp. 381-401. http://geodesic.mathdoc.fr/item/MZM_2008_83_3_a5/
[1] V. P. Maslov, V. E. Nazaikinskii, “O raspredelenii tselochislennykh sluchainykh velichin, svyazannykh odnim lineinym neravenstvom. I”, Matem. zametki, 83:2 (2008), 232–263