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Regular version of the site
Of all publications in the section: 271
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Article
Захарова Е. В. Математические заметки. 2007. Т. 81. № 5. С. 703-706.
Added: Jan 31, 2010
Article
Чеботарев А. М., Радионов А. А., Тлячев Т. В. Математические заметки. 2012. Т. 92. № 5. С. 762-777.

We consider the multimode generalization of the normally ordered factorization formula of squeezings. This formula allows us to establish relationships between various representations of squeezed states, to calculate partial traces, mean values, and variations. The main results are expressed in terms of the matrix representation of canonical transformations which is a convenient and numerically stable mathematical tool. Explicit representations are given for the inner product and the composition of generalized multimode squeezings. Explicitly solvable evolution problems are considered.

Added: Jan 15, 2014
Article
Грушин В. В. Математические заметки. 2017. Т. 102. № 6. С. 816-827.

Asymptotic formulas are obtained for a class of integrals that are Fourier transforms of rapidly oscillating functions. These formulas contain special functions and generalize the well-known method of stationary phase.

Added: Jan 13, 2018
Article
Шур М. Г. Математические заметки. 2004. Т. 75. № 6. С. 927-940.
Added: Mar 29, 2013
Article
Васильев Г. А., Хаметов В. М., Шелемех Е. А. Математические заметки. 2013. Т. 94. № 6. С. 944-948.

In this paper, we establish conditions for the discreteness of extremal probability measures on finitedimensional spaces.

Added: Nov 17, 2013
Article
Кочетков Ю. Ю. Математические заметки. 2011. Т. 89. № 1. С. 139-144.

The action is considered of a group of totally positive units of a real cubic Galois field on the border of convex hull of its totally positive integers. In case of so called regular fields the fundamental domain of this action has a simple description.

Added: May 15, 2012
Article
Горский Е. А. Математические заметки. 2006. Т. 79. № 6. С. 825-837.
Added: Dec 9, 2014
Article
Матвеева А. А., Побережный В. А. Математические заметки. 2017. Т. 101. № 1. С. 91-100.

A one-dimensional generalization of the Riemann–Hilbert problem from the Riemann sphere to an elliptic curve is considered. A criterion for its positive solvability is obtained and an explicit form of all possible solutions is found. As in the spherical case, the solutions turn out to be isomonodromic.

Added: Oct 18, 2016
Article
Хаметов В. М., Шелемех Е. А. Математические заметки. 2019. Т. 105. № 3. С. 476-480.
Added: Feb 22, 2019
Article
Заев Д. А. Математические заметки. 2015. Т. 98. № 5. С. 664-683.
Added: Mar 9, 2016
Article
Кононова А. А., Калягин В. А. Математические заметки. 2009. Т. 46. № 6.
Added: Nov 22, 2009
Article
Шитов Я. Н. Математические заметки. 2012. Т. 92. № 2. С. 316-320.

We give a complete answer for the question asked by Develin, Santos, and Sturmfels by proving that every 5×n matrix with tropical rank equal to 3 has Kapranov rank equal to 3, for the ground field that contains at least 4 elements. For the ground field either F2 or F3, we construct an example of a 5 × 5 matrix with tropical rank 3 and Kapranov rank 4.

Added: Nov 9, 2012
Article
Чистяков В. В. Математические заметки. 2002. Т. 71. № 4. С. 611-632.
Added: Jan 19, 2010
Article
Аржанцев И. В., Петравчук А. П. Математические заметки. 2009. Т. 86. № 5. С. 659-663.
Added: Jul 10, 2014
Article
Самовол В. С. Математические заметки. 2014. Т. 95. № 6. С. 911-925.

The asymptotic properties of nonoscillating solutions of Emden-Fowler-type equations of arbitrary order are considered. The paper contains the results of the study of the asymptotic properties of solutions with integer-valued asymptotics as well as of solutions arising from the rapid decrease of the coefficient of the equation. To analyze the asymptotic behavior of solutions of the equations, methods of power geometry are used.

Added: Feb 13, 2014
Article
Колесников А. В. Математические заметки. 1999. Т. 65. № 5. С. 790-793.
Added: Oct 4, 2010
Article
Курносов Н. М. Математические заметки. 2016. Т. 99. № 1.

We obtain an inequality imvolving Betti numbers of six-dimensional hyperk\"ahler manifolds using Rozansky-Witten invariants described by Hitchin and Sawon.

Added: Oct 16, 2015