V. P. Maslov, V. E. Nazaikinskii, “On the Distribution of Integer Random Variables Related by a Certain Linear Inequality. II”, Mat. Zametki, 2008, Volume 83, Issue 3,Pages <nobr>381

This article is cited in 35 papers

On the Distribution of Integer Random Variables Related by a Certain Linear Inequality. II

V. P. Maslov^a, V. E. Nazaikinskii^b

^a M. V. Lomonosov Moscow State University, Faculty of Physics
^b A. Ishlinsky Institite for Problems in Mechanics, Russian Academy of Sciences

Abstract: 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, convergence, limit distribution.

UDC: 519.2+531.19

Received: 07.02.2008

DOI: 10.4213/mzm4526