Výsledky vyhledávání - "V. L. Chernyshev"

Asymptotics of the Number of Restricted Partitions

Autor: Vladimir E. Nazaikinskii, V. L. Chernyshev, T. W. Hilberdink

Publikováno v: Russian Journal of Mathematical Physics. 27:456-468

Let $$00$$ . For any $$T>0$$ and $$k\in\overline{\mathbb{N}}=\mathbb{N}\cup\{\infty\}$$ , let $$N(k,T)$$ be the number of solutions $$\{n_j\}_{j=1}^k$$ , $$n_j\in \mathbb{N}_0=\mathbb{N}\cup\{0\}$$ , of the inequality $$\sum_{j=1}^{k}n_jt_j\le T$$ .

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::7257c77ee197ef27cd76b4082603f697
https://doi.org/10.1134/s1061920820040056

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Polynomial approximation for the number of all possible endpoints of a random walk on a metric graph

Autor: V. L. Chernyshev, A. A. Tolchennikov

Publikováno v: Electronic Notes in Discrete Mathematics. 70:31-35

The asymptotics of the number of possible endpoints of a random walk on a metric graph with incommensurable edge lengths is found.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1769bfcce3a9a85c30161a2646192a99
https://doi.org/10.1016/j.endm.2018.11.005

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Typical Shape of Elements in an Arithmetical Semigroup with Exponentially Growing Prime Counting Function and Deviations from the Bose–Einstein Distribution

Autor: Vladimir E. Nazaikinskii, D. S. Minenkov, V. L. Chernyshev

Publikováno v: Mathematical Notes. 104:939-942

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3a00955153b3c60deed52f30d88a1f07
https://doi.org/10.1134/s0001434618110408

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The Second Term in the Asymptotics for the Number of Points Moving Along a Metric Graph

Autor: V. L. Chernyshev, A. A. Tolchennikov

Publikováno v: Regular and Chaotic Dynamics. 22:937-948

We consider the problem of determining the asymptotics for the number of points moving along a metric graph. This problem is motivated by the problem of the evolution of wave packets, which at the initial moment of time are localized in a small neigh

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::9ed69b9fc7638dbb2e844cd3e2148658
https://doi.org/10.1134/s1560354717080032

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Correction to the leading term of asymptotics in the problem of counting the number of points moving on a metric tree

Autor: A. A. Tolchennikov, V. L. Chernyshev

Publikováno v: Russian Journal of Mathematical Physics. 24:290-298

In the problem of determining the asymptotics for the number of points moving along a metric tree, a polynomial approximation that uses Barnes’ multiple Bernoulli polynomials is found. The connection between the second term of the asymptotic expans

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a6a0c3c62bc19d3e73934eb20af7ffcc
https://doi.org/10.1134/s1061920817030025

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On the limit shape of elements of an arithmetic semigroup with an exponentially growing counting function of basis elements

Autor: V. L. Chernyshev, D. S. Minenkov, Vladimir E. Nazaikinskii

Publikováno v: Doklady Mathematics. 95:226-229

We consider an arithmetic semigroup with exponential growth of the counting function of abstract primes. The Bose–Einstein statistics provides the most probable mean occupation numbers in the sense that large deviations of a sum of occupation numbe

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2517c746155021481bb92fe61827bf22
https://doi.org/10.1134/s1064562417030115

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