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On the distribution of integer random variables related by a certain linear inequality: II

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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.

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  1. V. P. Maslov and V. E. Nazaikinskii, “On the distribution of integer random variables related by a certain linear inequality: I,” Mat. Zametki 83(2), 232–263 (2008) [Math. Notes 82 (2), 211–237 (2008)].

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Correspondence to V. P. Maslov.

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Original Russian Text © V. P. Maslov, V. E. Nazaikinskii, 2008, published in Matematicheskie Zametki, 2008, Vol. 83, No. 3, pp. 381–401.

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Maslov, V.P., Nazaikinskii, V.E. On the distribution of integer random variables related by a certain linear inequality: II. Math Notes 83, 345–363 (2008). https://doi.org/10.1134/S0001434608030061

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  • DOI: https://doi.org/10.1134/S0001434608030061

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