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On the Bose–Maslov statistics in the case of infinitely many degrees of freedom

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Abstract

We find the asymptotics of the counting function of elements of an additive arithmetical semigroup for the case of an exponential counting function of prime generators, which has a natural interpretation in terms of Bose statistics as well as in the problem of counting the number of Gaussian packets on decorated graphs.

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Authors and Affiliations

  1. Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia

    D. S. Minenkov & V. E. Nazaikinskii

  2. Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow oblast, Russia

    V. E. Nazaikinskii

  3. National Research University Higher School of Economics, Moscow, Russia

    V. L. Chernyshev

Authors
  1. D. S. Minenkov
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  2. V. E. Nazaikinskii
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  3. V. L. Chernyshev
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Corresponding author

Correspondence to D. S. Minenkov.

Additional information

Original Russian Text © D.S. Minenkov, V.E. Nazaikinskii, V.L. Chernyshev, 2016, published in Doklady Akademii Nauk, 2016, Vol. 468, No. 6, pp. 618–621.

The article was translated by the authors.

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Minenkov, D.S., Nazaikinskii, V.E. & Chernyshev, V.L. On the Bose–Maslov statistics in the case of infinitely many degrees of freedom. Dokl. Math. 93, 326–328 (2016). https://doi.org/10.1134/S1064562416030297

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  • DOI: https://doi.org/10.1134/S1064562416030297

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