Email this article On the Bose–Maslov statistics in the case of infinitely many degrees of freedom
- Authors: Minenkov D.S.1, Nazaikinskii V.E.1,2, Chernyshev V.L.3
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Affiliations:
- Ishlinsky Institute for Problems in Mechanics
- Moscow Institute of Physics and Technology (State University)
- National Research University Higher School of Economics
- Issue: Vol 93, No 3 (2016)
- Pages: 326-328
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/223887
- DOI: https://doi.org/10.1134/S1064562416030297
- ID: 223887
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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.
About the authors
D. S. Minenkov
Ishlinsky Institute for Problems in Mechanics
Author for correspondence.
Email: minenkov.ds@gmail.com
Russian Federation, Moscow
V. E. Nazaikinskii
Ishlinsky Institute for Problems in Mechanics; Moscow Institute of Physics and Technology (State University)
Email: minenkov.ds@gmail.com
Russian Federation, Moscow; Dolgoprudny, Moscow oblast
V. L. Chernyshev
National Research University Higher School of Economics
Email: minenkov.ds@gmail.com
Russian Federation, Moscow
