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


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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.

Sobre autores

D. Minenkov

Ishlinsky Institute for Problems in Mechanics

Autor responsável pela correspondência
Email: minenkov.ds@gmail.com
Rússia, Moscow

V. Nazaikinskii

Ishlinsky Institute for Problems in Mechanics; Moscow Institute of Physics and Technology (State University)

Email: minenkov.ds@gmail.com
Rússia, Moscow; Dolgoprudny, Moscow oblast

V. Chernyshev

National Research University Higher School of Economics

Email: minenkov.ds@gmail.com
Rússia, Moscow

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