?
Interfaces in evolutionary games
Journal of Physics: Conference Series. 2018. Vol. 955. No. 012023. P. 1–6.
We investigate geometrical aspects of a spatial evolutionary game. The game is based on the Prisoner's dilemma. We analyze the geometrical structure of the space distribution of cooperators and defectors in the steady-state regime of evolution. We develop algorithm for the identification of the interfaces between clusters of cooperators and defectors, and measure fractal properties of the interfaces.
Piontkovski D., / Series arXiv "math". 2026.
A noncommutative projective variety is defined, following Artin and Zhang, by a graded coherent algebra 𝐴. The category of coherent sheaves is then the quotient qgr(𝐴) of the category of finitely presented graded modules by the subcategory of torsion modules. We consider the categorical and polynomial entropies of the Serre twist, that is, of the ...
Added: June 23, 2026
Piontkovski D., / Series arXiv "math". 2025.
If a symmetric multilinear algebra is weakly nil, then it is Engel. This result may be regarded as an infinite-dimensional analogue of the well-known Jacobian theorem, which states that if a polynomial mapping has a polynomial inverse, then its Jacobian matrix is invertible. This refines a theorem of Gerstenhaber and partially answers a question posed ...
Added: June 23, 2026
Shipilov F., Barnyakov A., Ivanov A. et al., / Series Physics "arxiv.org". 2026.
A fast simulation of the detector response is a vital task in high-energy physics (HEP). Traditional Monte-Carlo methods form the backbone of modern particle physics simulation software but are computationally expensive. We present a machine-learning-based approach to fast simulation of the Focusing Aerogel Ring Imaging Cherenkov (FARICH) detector response. Given a particle track and momentum, ...
Added: May 19, 2026
Derkacheva A., Sakirkina M., Kraev G. et al., /. 2026.
Comprehensive data on natural hazards and their consequences are crucial for effective for risk assessment, adaptation planning, and emergency response. However, many countries face challenges with fragmented, inconsistent, and inaccessible data, particularly regarding local-scale events. To address this data gap in Russia, we developed an end-to-end processing pipeline that scrapes news from various online sources, ...
Added: April 28, 2026
Pilé I., Deng Y., Shchur L., / Series arXiv "math". 2026. No. 2604.10254.
We investigate the spatial overlap of successive spin configurations in Markov chain Monte Carlo simulations using the local Metropolis algorithm and the Svendsen-Wang and Wolff cluster algorithms. We examine the dynamics of these algorithms for two models in different universality classes: the Ising model and the Potts model with three components. The overlap of two ...
Added: April 20, 2026
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
Sorokin K., Beketov M., Онучин А. et al., / arxiv.org. Серия cs.SI "Social and Information Networks ". 2025.
Community detection in complex networks is a fundamental problem, open to new approaches in various scientific settings. We introduce a novel community detection method, based on Ricci flow on graphs. Our technique iteratively updates edge weights (their metric lengths) according to their (combinatorial) Foster version of Ricci curvature computed from effective resistance distance between the ...
Added: January 15, 2026
Petrovanov I., Sergeev A., / Series Computer Science "arxiv.org". 2025. No. 2512.18332.
Transport coding reduces message delay in packet-switched networks by introducing controlled redundancy at the transport layer: original packets are encoded into coded packets, and the message is reconstructed after the first successful deliveries, effectively shifting latency from the maximum packet delay to the -th order statistic. We present a concise, reproducible discrete-event implementation of transport coding in OMNeT++, including ...
Added: December 24, 2025
Hessian-based lightweight neural network for brain vessel segmentation on a minimal training dataset
Меньшиков И. А., Бернадотт А. К., Elvimov N. S., / Series arXie "Statistical mechanics". 2025.
Accurate segmentation of blood vessels in brain magnetic resonance angiography (MRA) is essential for successful surgical procedures, such as aneurysm repair or bypass surgery. Currently, annotation is primarily performed through manual segmentation or classical methods, such as the Frangi filter, which often lack sufficient accuracy. Neural networks have emerged as powerful tools for medical image ...
Added: December 1, 2025
Rubchinskiy A., Chubarova D., / Series WP7 "Математические методы анализа решений в экономике, бизнесе и политике". 2025. No. WP7/2025/01.
The article examines one of the most famous examples of socio-economic systems, characterized by significant uncertainty – the S&P-500 stock market, where shares of 500 largest US companies are traded. No assumptions are made about the probabilistic characteristics of the stock market. A flexible algorithm for daily trading has been developed, based on both known fixed data ...
Added: November 9, 2025
Melnikov A., Selivanov Y. G., Chekalin S., Physical Review B: Condensed Matter and Materials Physics 2023 Vol. 108 P. 224309
We investigate the ultrafast optical response of PbTe to an intense single-cycle terahertz pulse, resonant with the soft transverse optical (TO) phonon mode of the crystal. We detect multifrequency oscillations of the reflectance anisotropy, which we associate with nonlinear motion of the TO phonon oscillator excited directly by the terahertz pulse. Our observation of monotonically ...
Added: July 24, 2025
Пустовик В. А., Храмцова Л. М., Kulikova S. et al., Сибирский психологический журнал 2024 № 93 С. 114–129
An important role in decision-making is taking a risk, which can direct a person towards
one of a number of alternatives. Research involving the study of risk-taking in the context
of social dilemmas considers cooperation or non-cooperation as possible decision-making
options. A classic example of this choice is the decision-making process in the context of the
"Prisoner's Dilemma". The ...
Added: September 20, 2024
Chertenkov V., Burovskiy E., Shchur L., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2023 Vol. 108 No. 3 Article L032102
We analyze the problem of supervised learning of ferromagnetic phas transitions from the statistical physics perspective. We consider two systems in two universality classes, the two-dimensional Ising model and two-dimensional Baxter-Wu model, and perform careful finite-size analysis of the results of the supervised learning of the phases of each model. We find that the variance ...
Added: September 19, 2023
Orlova E., Sorokin T., Baldin E. et al., Journal of Solid State Chemistry 2023 Vol. 324 Article 124078
Fluorite-like compounds of the Sm5Mo3O16 composition and, for the first time, their fluorine- and lithium-containing analogues of the LiSm4Mo3O15F composition have been obtained by solid-phase synthesis in vacuum sealed quartz ampoules. The resulting materials were characterized by XRD, differential scanning calorimetry, thermogravimetry, scanning electron microscopy, and impedance spectroscopy. It was found that LiSm4Mo3O15F samples are ...
Added: May 10, 2023
Yury A. Budkov, Petr E. Brandyshev, Nikolai N. Kalikin, Soft Matter 2023 Vol. 19 P. 3281–3289
Based on the random phase approximation, we develop a molecular theory of self-coacervation in zwitterionic polymer solutions. We show that the interplay between the volume interactions of the monomeric units and electrostatic correlations of charged groups on a polymer backbone can result in liquid-liquid phase separation (self-coacervation). We analyse the behavior of the coacervate phase ...
Added: April 18, 2023
Grinikh A., Petrosyan L., , in: Contributions to Game Theory and ManagementVol. XIV: Collected papers.: St. Petersburg: St. Petersburg University, 2021. P. 122–126.
In the paper n-person prisoner's dilemma on the network is investigated. A cooperative game with the pairwise interaction of players is constructed. The model is a modification of the classic 2-person prisoner's dilemma problem in the game theory. Network interaction provide an ability to take into account the influence only to the adjacent players from the ...
Added: October 27, 2022
Shapiro D. S., Pogosov W. V., Lozovik Y., Physical Review A: Atomic, Molecular, and Optical physics 2020 Vol. 102 No. 2 Article 023703
In view of recent proposals for the realization of anisotropic light-matter interaction in such platforms as (i) nonstationary or inductively and capacitively coupled superconducting qubits, (ii) atoms in crossed fields, and (iii) semiconductor heterostructures with spin-orbital interaction, the concept of a generalized Dicke model, where coupling strengths of rotating wave and counter-rotating wave terms are ...
Added: October 31, 2021
Kolokoltsov V., Mathematics 2021 Vol. 9 No. 14 Article 1619
Games of inspection and corruption are well developed in the game-theoretic literature. However, there are only a few publications that approach these problems from the evolutionary point of view. In previous papers of this author, a generalization of the replicator dynamics of the evolutionary game theory was suggested for inspection modeling, namely the pressure and ...
Added: October 29, 2021
Grinikh A., Petrosyan L., , in: Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2021Т. 27. Вып. 3.: Екатеринбург: [б.и.], 2021. P. 256–262.
Added: September 29, 2021
Antonov D., Burovskiy E., Shchur L., Physical Review Research 2021 Vol. 3 Article L032072
We introduce a mean-field term to an evolutionary spatial game model. Namely, we consider the game of
Nowak and May, based on the Prisoner’s dilemma, and augment the game rules by a self-consistent mean-field
term. This way, an agent operates based on local information from its neighbors and nonlocal information via
the mean-field coupling. We simulate the model ...
Added: September 24, 2021
Tatarko A., Вопросы теоретической экономики 2021 № 3 С. 75–87
Исследование посвящено изучению кооперативного поведения и доверия. Мы предположили, что финансовый выигрыш (результат) индивида в условиях «дилеммы узника» может зависеть от кооперативности его поведения. Также мы предположили, что уровень доверия как базовая установка индивида не меняется при его столкновении с некооперативным поведением партнера, индивид меняет только стратегию своего поведения по отношению к партнёру. Был проведен ...
Added: August 2, 2021
Roman Moskalenko, Evgeni Burovski, Shchur L., Journal of Physics: Conference Series 2021 Vol. 1740 Article 012057
We consider a spatially distributed evolutionary game based on the Prisoner’s
Dilemma with agents arranged on a three-dimensional simple cubic lattice. Comparing to twodimensional arrangements, we find that the larger number of neighbors favors the formation of
spatial chaos: the steady state of the game is chaotic unless the payoff parameter is small. ...
Added: January 23, 2021
Kalinin A. M., Zasimova L. S., Kolosnitsyna M. et al., Вопросы государственного и муниципального управления 2020 № 4 С. 7–30
During the COVID-19 pandemic, most governments around the world have introduced social distancing measures to reduce social interaction between people. Those measures could be introduced on national, regional and local levels depending on particular country. They range from advice about not leaving home (self-isolation) to strict quarantine measures. The choice of particular measures relies on ...
Added: November 26, 2020
Möllmer J., Uhlig H., Lange M. et al., Journal of Alloys and Compounds 2021 Vol. 859 Article 157782
MgPd2 is an intermetallic compound with a reversible hydrogen uptake near ambient conditions. Hydrogenation occurs near room temperature at pressures below 0.1 MPa to form a hydrogen-rich MgPd2H0.88 phase. In this work, hydrogen sorption isotherms were measured at 283 K ≤ T ≤ 328 K as well as at a cryogenic temperature of 77 K and pressure values up ...
Added: November 5, 2020