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Volume and entropy in abstract analytic number theory and thermodynamics
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.
Гаврилов А. В., Krayushkin D. V., Никитина Н. Ю. et al., Вопросы кибербезопасности 2026 № 4 С. 140–145
The purpose of the study: the development of an approach for covert embedding of patient personal data and data integrity verification markers into medical images, ensuring no distortion of critical diagnostic information. Method: an adaptive method based on Least Significant Bit (LSB) substitution is proposed. To enhance stealth and robustness, embedding is performed selectively – ...
Added: August 31, 2026
Тула: Тульский государственный педагогический университет им. Л.Н. Толстого, 2025.
Сборник содержит материалы, представленные на XXIV Международной конференции «Алгебра, теория чисел, дискретная геометрия и многомасштабное моделирование: современные проблемы, приложения и проблемы истории», посвящённой 110-летию со дня рождения академика Юрия Владимировича Линника и 110-летию со дня рождения профессора Андрея Борисовича Шидловского и 80-летию со дня рождения профессора Геннадия Ивановича Архипова. Материалы конференции будут полезны научным работникам, ...
Added: August 27, 2026
David J. L., Grinin L. E., Korotayev A., , in: Complexity in Universal Evolution. A Big History Perspective.: Springer, 2026. Ch. 2 P. 29–90.
This chapter explores the role of complexity dynamics in Big History through an integrative theoretical framework that spans physical, chemical, biological, social, cognitive, and civilizational domains. Building on foundational work in systemstheory,thermodynamics,andevolutionarytheory,thechapterarguesthat complexity can serve as a conceptual bridge across disciplines. By examining how complexity emerges, is sustained, and transforms across thresholds, as well as ...
Added: August 10, 2026
Polyakov S., Smeshkova L., Lapin V. et al., Veredas do Direito 2026 Vol. 23 No. 11 Article e237531
The article examines the significant transformation of the concept of information and its impact on modern security technologies. Until the middle of the 20th century, the concept of information was considered as a philosophical category related to the transfer of knowledge and meaning. With the advent of Claude Shannon's communication theory, information was reinterpreted as ...
Added: July 27, 2026
Makarov D. M., Kalikin N., Gurikov P. et al., Journal of Supercritical Fluids 2026 Vol. 235 Article 106979
Supercritical CO2 (scCO2 ) is an environmentally friendly solvent, but its low polarity limits the solubility of polar compounds. Cosolvents are commonly used to enhance solvation capability, yet comprehensive datadriven studies are scarce. We compiled the largest dataset to date — 4401 experimental solubility records with 22 cosolvents for 93 nonionic solutes, plus 4855 records ...
Added: April 19, 2026
Соболев В. Н., Фролов А. А., Чебышевский сборник 2025 Т. 26 № 5 С. 203–220
In the article, on the class K 0 of infinite binary sequences without the runs of ones, a
consistent probability distribution P is constructed which is induced by a time-homogeneous
Markov chain with a one-step transition matrix P𝜑 , and is completely determined by the
golden ratio 𝜑. Using a Markov chain to construct a probability measure P ...
Added: February 11, 2026
- Р. М., Sergei Koltcov, Surkov A. et al., Computers, Materials and Continua 2026 Vol. 86 No. 3 Article 99
Activation pruning reduces neural network complexity by eliminating low-importance neuron activations, yet identifying the critical pruning threshold—beyond which accuracy rapidly deteriorates—remains computationally expensive and typically requires exhaustive search. We introduce a thermodynamics-inspired framework that treats activation distributions as energy-filtered physical systems and employs the free energy of activations as a principled evaluation metric. Phase-transition–like phenomena ...
Added: December 19, 2025
LePoire D., Grinin L. E., Korotayev A., Journal of Big History 2025 Vol. 8 No. 3 P. 98–139
Building on foundational work in systems theory, thermodynamics, and evolutionary theory, this paper argues that complexity can serve as a conceptual bridge across disciplines. It explores the role of complexity dynamics in Big History through an integrative theoretical framework that spans physical, chemical, geological, biological, social, cognitive, and civilizational domains. By examining how complexity emerges, ...
Added: November 1, 2025
R. B. Sandlerskiy, Petrzhik N. M., Jargalsaikhan T. et al., Biology Bulletin 2023 Vol. 50 No. S2 P. S226–S238
The results of using a thermodynamic approach to study the functioning of mountain forest biogeocenoses based on Landsat 8 OLI TIRS multispectral scanner survey for the landscapes of the northwestern Khubsugul region are presented. Using the example of a section of the Khordol-Sardag ridge, the spatiotemporal variation of thermodynamic characteristics calculated within the framework of ...
Added: February 26, 2025
Yury A. Budkov, Nikolai N. Kalikin, Petr E. Brandyshev, Journal of Statistical Mechanics: Theory and Experiment 2024 Vol. 2024 No. 12 Article 123201
This extended article presents a thermomechanical approach for calculating the stress tensor from the thermodynamic potential of inhomogeneous fluids and some applications to ionic fluids. The technique, based on the invariance of the fluid's thermodynamic potential with respect to spatial transformations of translation and rotation, offers an alternative to the general covariant approach developed by ...
Added: December 15, 2024
Haeun S., Yurii I., Anatoly K. et al., Chaos, Solitons and Fractals 2025 Vol. 190 Article 115732
Although many models explain the spontaneous alternation between two distinct sleep states, Rapid Eye Movement (REM) and Non-Rapid Eye Movement (NREM), new empirical evidence has accumulated regarding consistent temperature changes during sleep stage transitions in small animals. The temperature dependence of neuro-excitability and low-frequency (≤4 Hz) neuronal activity has also been investigated theoretically and experimentally. ...
Added: November 20, 2024
Yury A. Budkov, Kalikin N., Springer, 2024.
This book presents statistical physics methods based on self-consistent field theory for describing the thermodynamic properties of ion-molecular systems, including electrolyte solutions, ionic liquids, polymeric ionic liquids, and metal-organic complexes. The methods are applicable in both the bulk and at interfaces, taking into account the molecular structure of these systems. The book also provides a ...
Added: October 1, 2024
Plyashechnik A., Alexey A. Sokolik, Yurii E. Lozovik, Physical Review A: Atomic, Molecular, and Optical physics 2024 Vol. 110 No. 1 Article 013301
We consider Bose-Einstein condensation of noninteracting homogeneous three-dimensional gas in canonical ensemble when both particle number N and total momentum P of all particles are fixed. Using the saddle-point method, we derive the large-N analytical approximations for partition function, free energy, and statistical distributions of occupation numbers of different single-particle energy levels. At temperatures below ...
Added: July 22, 2024
Idrisova V. A., Tokareva N. N., Gorodilova A. A. et al., Prikladnaya Diskretnaya Matematika 2023 No. 62 P. 29–54
Every year the International Olympiad in Cryptography Non-Stop University CRYPTO (NSUCRYPTO) offers mathematical problems for university and school students and, moreover, for professionals in the area of cryptography and computer science. The main goal of NSUCRYPTO is to draw attention of students and young researchers to modern cryptography and raise awareness about open problems in ...
Added: March 19, 2024
Orlando G., Lampart M., Entropy 2023 Vol. 25 No. 11 Article 1527
Entropy serves as a measure of chaos in systems by representing the average rate of information loss about a phase point’s position on the attractor. When dealing with a multifractal system, a single exponent cannot fully describe its dynamics, necessitating a continuous spectrum of exponents, known as the singularity spectrum. From an investor’s point of ...
Added: February 22, 2024
А. Ю. Попков, Ю. А. Дубнов, Ю. С. Попков, Информатика и автоматизация (Труды СПИИРАН) 2022 Т. 4 № 21 С. 659–677
We propose an approach to estimation of the parameters of non-linear dynamic models using the concept of Randomized Machine Learning (RML), based on the transition from deterministic models to random ones (with random parameters), followed by estimation of the probability distributions of parameters and noises on real data. The main feature of this method is ...
Added: February 5, 2024
Sandlerskiy R., Петржик Н. М., Жаргалсайхан Т. et al., Известия РАН. Серия биологическая 2023 № 8 С. 115–128
Presented results of using a thermodynamic approach to study the functioning of mountain forest biogeocenoses based on Landsat 8 OLI TIRS multispectral scanner survey for the landscapes of the northwestern Khubsugul region. Using the example of a section of the ridge. Khordol-Sardag considers the spatiotemporal variation of thermodynamic characteristics calculated within the framework of the ...
Added: December 17, 2023
Sandlerskiy R., Petrzhik N., Jargalsaikhan T. et al., Entropy 2023 Vol. 25 No. 12 Article 1653
The imminent threat of Mongolian montane forests facing extinction due to climate change emphasizes the pressing need to study these ecosystems for sustainable development. Leveraging multispectral remote sensing data from Landsat 8 OLI TIRS (2013–2021), we apply Tsallis non-extensive thermodynamics to assess spatiotemporal fluctuations in the absorbed solar energy budget (exergy, bound energy, internal energy ...
Added: December 17, 2023
Kalmynin A. B., Konyagin S., / Series math "arxiv.org". 2023. No. 2303.14833.
Added: November 22, 2023