• A
  • A
  • A
  • АБВ
  • АБВ
  • АБВ
  • A
  • A
  • A
  • A
  • A
Обычная версия сайта
  • RU
  • EN
  • HSE University
  • Publications
  • Articles
  • Математическое разрешение парадокса Гиббса
  • RU
  • EN
Расширенный поиск
Высшая школа экономики
Национальный исследовательский университет
Priority areas
  • business informatics
  • economics
  • engineering science
  • humanitarian
  • IT and mathematics
  • law
  • management
  • mathematics
  • sociology
  • state and public administration
by year
  • 2028
  • 2027
  • 2026
  • 2025
  • 2024
  • 2023
  • 2022
  • 2021
  • 2020
  • 2019
  • 2018
  • 2017
  • 2016
  • 2015
  • 2014
  • 2013
  • 2012
  • 2011
  • 2010
  • 2009
  • 2008
  • 2007
  • 2006
  • 2005
  • 2004
  • 2003
  • 2002
  • 2001
  • 2000
  • 1999
  • 1998
  • 1997
  • 1996
  • 1995
  • 1994
  • 1993
  • 1992
  • 1991
  • 1990
  • 1989
  • 1988
  • 1987
  • 1986
  • 1985
  • 1984
  • 1983
  • 1982
  • 1981
  • 1980
  • 1979
  • 1978
  • 1977
  • 1976
  • 1975
  • 1974
  • 1973
  • 1972
  • 1971
  • 1970
  • 1969
  • 1968
  • 1967
  • 1966
  • 1965
  • 1964
  • 1963
  • 1958
  • More
Subject
News
September 25, 2026
AI Users Earn Up to 41.8% More Than Non-Users
Research conducted by economists at HSE University has revealed a significant correlation between the regular use of GenAI in the workplace and higher pay among Russian employees. The study found that individuals who frequently use GenAI in their professional activities earn notably more than those who reject these new tools or resort to them occasionally. The salary premium for highly qualified specialists reaches 41.8%. The article was published in the Voprosy Ekonomiki journal.
September 24, 2026
‘Feedback and Constructive Criticism Are Essential in Our Profession
Vincent Fardeau, Associate Professor at HSE ICEF, has reached a major career milestone: he recently published his paper ‘Asymmetric Thin Markets’ in the Journal of Financial Economics, successfully passed his major academic review, and received tenure. In this interview, Vincent discusses the story behind the paper, explains the concept of asymmetric thin markets, and shares his advice for young scholars aiming to publish in top-tier journals.
September 22, 2026
Personal Interest in Doctoral Thesis Topic Most Important for Confidence in Successful Defence
A researcher at HSE University analysed data on 1,539 doctoral students from 161 Russian universities to identify which features of a thesis topic are associated with academic success and engagement. The most important factor was found to be personal interest in the research topic, which was associated with almost all key aspects of doctoral programme experience—from engaging with the academic supervisor to research activity and confidence about successfully defending the thesis. The findings have been published in Higher Education.

 

Have you spotted a typo?
Highlight it, click Ctrl+Enter and send us a message. Thank you for your help!

Publications
  • Books
  • Articles
  • Chapters of books
  • Working papers
  • Report a publication
  • Research at HSE

?

Математическое разрешение парадокса Гиббса

Математические заметки. 2011. Т. 89. № 2. С. 272–284.
Maslov V.

In this paper, we construct a new distribution corresponding to a real noble gas as well as the equation of state for it.

Priority areas: mathematics
Language: Russian
Full text
Keywords: кластерZeno linePhase transitionClusterDimerCritical temperatureBoyle temperatureJamming effectBose–Einstein distributionGibbs paradoxЛиния ЗеноФазовый переходДимерКритическая температураТемпература БойляЭффект сжатияРаспределение Бозе-Эйнштейнапарадокс Гиббса
Similar publications
Pairings on the algebra of Laurent series over a ring
Levashev V., / Series arXiv "math". 2026. No. 2609.06010.
We prove that continuous A-bilinear pairings on the ring of Laurent series that are invariant under continuous automorphisms coincide, up to a constant, with the pairing given by the residue of a differential form over any commutative associative ring with identity. ...
Added: September 24, 2026
Iterative construction of the R-matrices in arbitrary dimensions
Pyatov P. N., Pivovarov P. A., / Series math "arxiv.org". 2026. No. 2609.06274.
We investigate a special ansats that allows for an iterative solution of the constant Yang-Baxter equation. Testing this ansatz, we construct four sequences of the constant R-matrices. In each sequence the R-matrices act on the tensor squares of vector spaces of linearly growing dimensions. Each R-matrix also depends on a single complex parameter. By analyzing the ...
Added: September 24, 2026
On static manifolds with boundary admitting a nowhere-vanishing static potential
Medvedev V., / Series arXiv "math". 2026.
We study complete static manifolds with boundary admitting a nowhere-vanishing static potential. Our main result shows that, under a natural lower bound relating the scalar curvature and the boundary mean curvature, a simple static manifold with boundary must in fact have positive scalar curvature, negative boundary mean curvature, and be compact; we also obtain explicit ...
Added: September 19, 2026
Vague stimulating ideas, images and metaphors in scientific thinking: researchers' work with horizons of unclear knowledge
Poddiakov A., / Series Social Science Research Network "Social Science Research Network". 2026. No. 7437658.
Clarity of knowledge and reasoning is necessary in many cases. Yet vagueness in scientific thinking related to surprise, curiosity, "ability to engage with not-knowing" (de Freitas) and abductive reasoning is also a crucially important source of scientific creativity which supplements combinatorial logic when dealing with the already known. Starting from studies by C. S. Peirce ...
Added: September 15, 2026
On phase-lock area parquet in a special slow-fast limit of model of Josephson junction.
Glutsyuk A., / Series arXiv "math". 2026.
B.Josephson (Nobel Prize, 1973) predicted a tunnelling effect for a system of two superconductors separated by a narrow dielectric (such a system is called Josephson junction): existence of a supercurrent through it and equations governing it. The overdamped Josephson junction is modeled by the family of differential equations on the 2-torus, dθdτ=1ω(cosθ+B+Acosτ), which is known as ...
Added: September 8, 2026
Infinitely many graph manifolds with unique geometrical piece that admit arbitrarily many Anosov flows
Pochinka O., Shmukler V., / Series math.RT "arXiv:1808.06395 [math.RT]". 2026.
Anosov flows have a long and rich history, firstly motivated by the study of geodesic flows in negative curvature surface by Anosov and Sinai. Not every closed manifold admits an Anosov flow for well-known reasons: the fundamental group of a 3-manifold M admitting an Anosov flow must have exponential growth, and M must be universally covered by R3. Nevertheless, there ...
Added: August 31, 2026
New bound on S1× S2-setting Bell locality of a nonseparable Werner state
Loubenets E. R., / Series arxiv.org "quant-ph". 2026. No. 2607.18050.
In many quantum applications it is important to know whether or not a Bell nonlocal two-qudit state exhibits its nonlocality under correlation scenarios with some given numbers S1,S2≥1 of generalized quantum measurements at two sites. In the present article, we find analytically a new general locality condition sufficient for a  nonseparable Werner state with a ...
Added: July 21, 2026
On functional equations for Chow polylogarithms
Bolbachan V., / Series math "arxiv.org". 2024.
Chow polylogarithms are some special functions arising in explicit description of the Beilinson regulator map. The most interesting functional equation for this function reflects its vanishing on the boundary in the Bloch's cycle complex. We show that this functional equation formally follows from more simple ones, namely skew-symmetry, functoriality and multiplicativity. To prove this, we study ...
Added: July 16, 2026
On Goncharov’s conjecture in next to Milnor degree
Bolbachan V., / Series math "arxiv.org". 2024.
Let K be a field of characteristic zero. We prove that its motivic cohomology in degree m−1 and weight m is rationally isomorphic to the cohomology of the polylogarithmic complex. This gives a partial extension of A. Suslin theorem describing the indecomposable K3 of a field. ...
Added: July 16, 2026
Statistical inference based on band-limited kernels: Rational-infinitely divisible distributions and beyond
Panov V., Ryabchenko A., / Series arXiv "stat.ME". 2026. No. 2607.05048.
This paper investigates the problem of statistical inference for a mixture distribution consisting of a discrete and a continuous component, with a particular focus on the class of rational-infinitely divisible distributions. We consider non-parametric estimation of both components of the mixture as well as the quasi-L{é}vy measure, assuming that the mixture belongs to the class ...
Added: July 9, 2026
Strong Approximations for Markov Chains Weakly Converging to Diffusions
Konakov V., Kucher D., Mammen E., / Series arXiv "math". 2026. No. 2606.11142v1.
In this paper, we construct strong approximations for discrete-time Markov chains weakly converging to continuous diffusion processes, as well as for their perturbed counterparts. Under the assumption of bounded coefficients, we construct closely coupled versions of these processes on a shared probability space. In particular, for both non-degenerate and degenerate cases, we maximize the probability ...
Added: June 11, 2026
Bifurcations and Structural Stability of Generic PC-HC Families
Dorovskiy A., / Series arXiv "math". 2026.
In this paper the structural stability of generic families of vector fields of the PC-HC class on the two-dimensional sphere is proved. A classification of these families up to moderate equivalence in neighborhoods of their large bifurcation supports is presented, based on such invariants as the configuration and the characteristic set. The realization lemma is proved. ...
Added: May 14, 2026
On the minimum number of maximal distance-k independent sets in trees
Taletskii D., / Series arXiv "math". 2026.
A vertex subset of a graph is called a \textit{distance-$k$ independent set} if the distance between any two of its distinct vertices is at least $k + 1$. For all $n,k \geq 1$, we determine the minimum possible number of inclusion-wise maximal distance-$k$ independent sets among all $n$-vertex trees. It equals~$n$ if $n \leq k ...
Added: May 1, 2026
On Arithmetic Mirror Symmetry for smooth Fano fourfolds
Ovcharenko M., / Series arXiv "math". 2026.
We introduce an explicit class of tempered Laurent polynomials in the sense of Villegas and Doran--Kerr in n⩽4 variables including all Landau--Ginzburg models for smooth Fano threefolds with very ample anticanonical class. We check that it contains Landau--Ginzburg models for various Fano fourfolds which are complete intersections in smooth toric varieties and Grassmannians of planes, ...
Added: April 30, 2026
On weak solutions to the 1d compressible Navier-Stokes equations: a Lipschitz continuous dependence on data in weaker norms and an error of their homogenization
Zlotnik Alexander, / Series arXiv "math". 2026. No. 2602.03481v1.
We deal with the global in time weak solutions to the 1D compressible Navier-Stokes system of equations for large discontinuous initial data and nonhomogeneous boundary conditions of three standard types. We prove the Lipschitz-type continuous dependence of the solution $(\eta,u,\theta)$, in a norm slightly stronger than $L^{2,\infty}(Q)\times L^2(Q)\times L^2(Q)$,  on the initial data $(\eta^0,u^0,e^0)$ in a ...
Added: April 18, 2026
On the dimension of the space of static potentials on three-manifolds
Medvedev V., / Series arXiv "math". 2026.
We investigate the interplay between the dimension of the space of static potentials and the geometric and topological structure of the underlying static three-manifold. A partial classification of boundaryless static manifolds is obtained in terms of this dimension. We also treat the case of static manifolds with boundary. In particular, we prove that if a ...
Added: April 3, 2026
Using predefined vector systems to speed up neural network multimillion class classification
Gabdullin N., Androsov I., / Series Computer Science "arxiv.org". 2026.
Label prediction in neural networks (NNs) has O(n) complexity proportional to the number of classes. This holds true for classification using fully connected layers and cosine similarity with some set of class prototypes. In this paper we show that if NN latent space (LS) geometry is known and possesses specific properties, label prediction complexity can ...
Added: April 2, 2026
Study of low temperature reactive magnetron sputtering NbN films for fabrication of an ultra-high sensitive detector
Ивашенцева И. В., Каурова Н. С., Воронов Б. М. et al., St. Petersburg Polytechnical University Journal: Physics and Mathematics 2025 Vol. 18 No. 3.2 P. 129–133
This paper focuses on the study of reactive magnetron sputtering thin NbN films for sensitization of hot electron bolometers. HEB will be utilized in the Millimetron space observatory. The main principle of operation is a superconductivity that is experimentally observed when NbN film is cooled to the temperature of a liquid helium. At a critical ...
Added: December 24, 2025
Формирование региональной кластерной политики в агропромышленном секторе
Ivanov S., Nagymanova L., Davydenko V., Международный сельскохозяйственный журнал 2025 № 7(409) С. 871–875
Статья посвящена проблеме формирования региональной кластерной политики в агропромышленном секторе как отдельного, институционально оформленного направления социально-экономической политики на уровне субъекта Российской Федерации. Определяются детерминанты формирования кластерной политики с учетом приоритетов Стратегии развития агропромышленного и рыбохозяйственного комплексов Российской Федерации на период до 2030 года. Раскрывается содержание и структура региональной кластерной политики в агропромышленном секторе, акцентируется внимание ...
Added: December 17, 2025
СОСТОЯНИЕ ТУРИСТИЧЕСКИХ МАРШРУТОВ КАК ФАКТОР РЕГИОНАЛЬНОЙ ГРУППИРОВКИ ПО УРОВНЮ СОЦИОКУЛЬТУРНОГО РАЗВИТИЯ
Граница Ю. В., В кн.: Сборник научных статей по итогам международной научно-практической конференции «Цифровые технологии и информационная безопасность бизнес-процессов», Нижний Новгород: ННГУ им. Н.И. Лобачевского, 22 мая 2024 года.: Изд-во ННГУ им. Н.И. Лобачевского, 2024..
В данной статье предлагается подход к решению задачи оценки социокультурной региональной дифференциации, связанной с анализом отзывов о туристских маршрутах с применением алгоритмов машинного обучения для обработки естественного языка. ...
Added: October 12, 2025
Microsecond-scale observation of phase transition and diffusion in 5CB liquid crystal at the molecular level
Kasapenko N., Orlova T., N. Kondratyuk, Journal of Chemical Physics 2025 Vol. 162 No. 15 Article 154901
Molecular dynamics methods have proven their applicability for the simulation of the structure and properties of liquid crystals. For the reproduction of phase transitions in liquid crystals, many authors have reparameterized the classical force fields. For the first time, we demonstrate that even a general-purpose force field, for example, General AMBER Force Field (GAFF), without ...
Added: August 12, 2025
МЕТОДИКА АНАЛИЗА КЛАСТЕРНОГО РАЗВИТИЯ ТУРИСТСКОГО СЕКТОРА АДМИНИСТРАТИВНО-ТЕРРИТОРИАЛЬНЫХ ЕДИНИЦ ВТОРОГО УРОВНЯ
Koshcheev D., В кн.: ТУРИЗМ И ГОСТЕПРИИМСТВО: НОВЫЕ КОНЦЕПЦИИ, ВОЗМОЖНОСТИ И ИНСТРУМЕНТЫ РАЗВИТИЯТ. 87: ТУРИЗМ И ГОСТЕПРИИМСТВО: НОВЫЕ КОНЦЕПЦИИ, ВОЗМОЖНОСТИ И ИНСТРУМЕНТЫ РАЗВИТИЯ.: Белгород: Белгородский государственный национальный исследовательский университет, 2025. С. 221–226.
Within the present investigation we propose a new method for municipal unit tourism cluster development analysis. The new method was tried and tested on Heihe, a prefecturelevel city in China. Drawing from the new method application, some recommendations have been proposed. ...
Added: June 30, 2025
Метод туннельной кластеризации
Aleskerov F. T., Myachin A. L., Yakuba V. I., Доклады Российской академии наук. Математика, информатика, процессы управления (ранее - Доклады Академии Наук. Математика) 2024 Т. 520 № 1 С. 29–34
Предлагается новый метод быстрого поиска закономерностей в числовых данных большой раз-мерности, названный “туннельной кластеризацией”. Основными преимуществами нового методаявляются: относительно невысокая вычислительная сложность; эндогенное определение составаи количества кластеров; высокая степень интерпретируемости конечных результатов. Приведеноописание трех различных вариаций: с фиксированными гиперпараметрами, адаптивными, а так-же комбинированный подход. Рассмотрены три основных свойства туннельной кластеризации.Практическое применение приведено как на синтетических ...
Added: March 3, 2025
Superconductivity in thin films of RuN
A.S. Ilin, Strugova A. O., I.A. Cohn et al., PHYSICAL REVIEW MATERIALS 2024 Vol. 8 No. 7 Article 074801
Superconductivity has been found in RuN films obtained by reactive magnetron sputtering. This novel member of the metal nitride superconductors family has a critical temperature of the superconducting transition that varies depending on the substrate, ranging from 0.77 K to 1.29 K. The parameters of the crystal lattice of the superconducting films have been determined: ...
Added: February 25, 2025
  • About
  • About
  • Key Figures & Facts
  • Sustainability at HSE University
  • Faculties & Departments
  • International Partnerships
  • Faculty & Staff
  • HSE Buildings
  • HSE University for Persons with Disabilities
  • Public Enquiries
  • Studies
  • Admissions
  • Programme Catalogue
  • Undergraduate
  • Graduate
  • Exchange Programmes
  • Summer University
  • Summer Schools
  • Semester in Moscow
  • Business Internship
  • Research
  • International Laboratories
  • Research Centres
  • Research Projects
  • Monitoring Studies
  • Conferences & Seminars
  • Academic Jobs
  • Yasin (April) International Academic Conference on Economic and Social Development
  • Media & Resources
  • Publications by staff
  • HSE Journals
  • Publishing House
  • iq.hse.ru: commentary by HSE experts
  • Library
  • Economic & Social Data Archive
  • Video
  • HSE Repository of Socio-Economic Information
  • HSE1993–2026
  • Contacts
  • Copyright
  • Privacy Policy
  • Site Map
Edit