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Regular version of the site
Of all publications in the section: 271
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Article
Maslov V. P. Mathematical notes. 2017. Vol. 102. No. 6. P. 824-835.

The author constructs his thermodynamics on the following two “first principles”: the partition theory of integers and the notion of Earth gravity. On the basis of number theory, equivalence classes in mesoscopy and soft condensates in the partition theory of integers are considered. The self-consistent equation obtained by the author on the basis of Gentile statistics is used to describe the effect of energy accumulation at the moment of transition of the boson branch of the partition of a number to the fermion branch. The branch point in the transition from bosons to fermions is interpreted as an analog of a jump of the spin.

Added: Nov 18, 2018
Article
Maslov V. Mathematical notes. 2012. Vol. 91. No. 5. P. 697-703.

We study the case where the values of random variables increase without bound.

Added: Jan 17, 2013
Article
Maslov V. P. Mathematical notes. 2013. Vol. 94. No. 5. P. 722-813.

In the present paper, we describe an approach to thermodynamics that does not involve Bogolyubov chains or Gibbs ensembles. We present isotherms, isochores, and isobars of various pure gases, as well as binodals, i.e., lines along which gas becomes liquid, and spinodals (endpoints of isotherms). We study supercritical phenomena for values of temperature and pressure above the critical ones. A lot of attention is paid to the region of negative pressures. The superfluid component for supercritical phenomena is described, as well as the thermodynamics of nanostructures and superfluidity in nanotubes.

Added: Dec 23, 2013
Article
Akbarov S. S. Mathematical notes. 1989. Vol. 45. No. 1. P. 132-134.
Added: Sep 23, 2016
Article
Maslov V. P. Mathematical notes. 2014. Vol. 96. No. 6. P. 977-982.

 We give a geometric interpretation of the thermodynamic potential,  free and internal energy, and enthalpy in terms of a Lagrangian manifold in the phase space of pairs (T, -S), (-mu, N), and (P,V) of intensive and extensive variables.  The Lagrangian manifold is viewed as the dequantization of the tunnel canonical operator.  With this approach, the critical point is a point where the equilibrium quasi-static process described by the Carath\'eodory axioms is violated.  For a hard liquid with negative pressure, we present a model of a multi-modulus medium.

Added: Dec 24, 2014
Article
Maslov V. P., Dobrokhotov S., Nazaikinskii V. Mathematical notes. 2016. Vol. 100. No. 5. P. 828-834.

We develop the recent research [1] and introduce the notions of volume and entropy in abstract analytic number theory. The introduction of negative numbers in the generalized partition problem, together with the meaning of such a generalization in some applications of the theory, is discussed.

Added: Feb 21, 2017
Article
Lobanov S. G. Mathematical notes. 2008. Vol. 83. No. 5. P. 643-651.
Added: Mar 19, 2009
Article
Chistyakov V. Mathematical notes. 1995. Vol. 58. No. 3. P. 1005-1009.
Added: Jan 20, 2010
Article
Romanov A. Mathematical notes. 2007. Vol. 82. No. 6. P. 806-815.
Added: Nov 25, 2012
Article
Чистяков Д. С. Математические заметки. 2013. Т. 94. № 5. С. 770-776.
Added: Oct 10, 2017
Article
Чистяков Д. С. Математические заметки. 2010. Т. 87. № 3. С. 412-416.
Added: Oct 10, 2017
Article
Чистяков Д. С. Математические заметки. 2012. Т. 91. № 6. С. 934-941.
Added: Oct 10, 2017
Article
Тюрин Н. А. Математические заметки. 1999. Т. 65. № 3. С. 420-428.
Added: Oct 1, 2010
Article
В. Л. Попов Математические заметки. 2009. Т. 86. № 6. С. 947-949.
Added: Mar 16, 2013
Article
Перепечко А.Ю., Богачев Н. Математические заметки. 2018. Т. 103. № 5. С. 769-773.

In this paper, we present an original implementation of Vinberg’s algorithm for arbitrary hyperbolic lattices subject to no constraints

Added: Sep 26, 2019
Article
Шур М. Г. Математические заметки. 1980. Т. 27. № 1. С. 129-136.
Added: Feb 3, 2014
Article
Гринес В. З., Гуревич Е. Я., Медведев В. С. и др. Математические заметки. 2017. Т. 102. № 4. С. 613-618.

A class of homeomorphisms on n-dimensional manifolds called Morse-Smale homeomorphisms is introduced and interrelation between their dynamics and topology of the ambient manifoilds is searched.

Added: Oct 10, 2017
Article
Перескоков А. В. Математические заметки. 2012. Т. 92. № 4. С. 583-596.

The eigenvalue problem for the perturbed resonant oscillator is considered. A method for constructing asymptotic solutions near the boundaries of spectral clusters using a new integral representation is proposed. The problem of calculating the averaged values of differential operators on solutions near the cluster boundaries is studied.

Added: Nov 26, 2012
Article
Н.И. Жукова Математические заметки. 2013. Т. 93. № 6. С. 994-996.

In this paper a unified method for studying foliations with transversal psrsbolic geometry of rank one is presented.

Ideas of Fraces' paper on  parabolic geometry of rank one and of works of the author on conformal foliations

are developed.

Added: Sep 28, 2014
Article
Чистяков Д. С., Хауэлл К. Математические заметки. 2018. Т. 103. № 6.
Added: Oct 10, 2017
Article
Лимонченко И. Ю. Математические заметки. 2013. Т. 94. № 3. С. 373-388.

We calculate certain bigraded Betti numbers for associahedra and apply the calculation of bigraded Betti numbers for truncation polytopes to study the topology of their moment-angle manifolds. Presumably, for these two series of simple polytopes, the bigraded Betti numbers attain their minimum and maximum values among all simple polytopes of fixed dimension with a given number of facets.

Added: Sep 29, 2019