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Статья

On the rate of convergence to the Bose–Einstein distribution

Mathematical notes. 2016. Vol. 99. No. 1. P. 95-109.
Maslov V. P., Nazaikinskii V.

For a system of identical Bose particles sitting at integer energy levels with the probabilities of microstates given by a multiplicative measure with ≥ 2 degrees of freedom, we estimate the probability of the sequence of occupation numbers to be close to the Bose–Einstein distribution as the total energy tends to infinity. We show that a convergence result earlier proved by A.M. Vershik [Functional Anal. Appl. 30 (2), 95–105 (1996)] is a corollary of our theorems.