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How Singular Is the Twenty-First-Century Singularity?
Ch. 26. P. 571–595.
This chapter discusses in some detail the possibility of the Singularity being a product of biased human perception described by the Weber–Fechner law. It is shown that though the Weber–Fechner effect can produce series with a hyperbolic shape, the hyperbolic acceleration pattern with the twenty-first century Singularity detected in Panov and Modis–Kurzweil series is explained first of all by the actual hyperbolic acceleration of the global megaevolution.
In book
Switzerland: Springer, 2020.
Akaev A., Ильин И. В., Korotayev A., Вестник Российской академии наук 2025 № 9 С. 3–15
The article examines the likelihood of creating artificial intelligence (AI) at the human level (“human intelligence level”, AGI) by 2027-2029 and the onset of the era of technological singularity, when a fundamental change in the mechanism of human evolution will occur. It is noted that this probability is close to one, since these dates surprisingly ...
Added: October 28, 2025
Dmitriev A., Lebedev A., Kornilov V. et al., Frontiers in Physics 2025 Vol. 12 Article 1508465
Our study is based on the hypothesis that stock exchanges, being nonlinear, open and dissipative systems, are capable of self-organization to the edge of a phase transition. To empirically support the hypothesis, we find segments in hourly stock volume series for 3,000 stocks of publicly traded companies, corresponding to the time of stock exchange’s stay ...
Added: January 23, 2025
Sukhoverkhova D., Shchur L., Письма в Журнал экспериментальной и теоретической физики 2024 Т. 120 № 8 С. 644–649
In this paper, we applied a deep neural network to study the issue of knowledge transferability between statistical mechanics models. The following computer experiment was conducted. A convolutional neural network was trained to solve the problem of binary classification of snapshots of snapshots of the location of spins of the Ising model on a two-dimensional ...
Added: September 25, 2024
Kochergin D., Khaymovich I., Olga Valba et al., Physical Review B: Condensed Matter and Materials Physics 2023 Vol. 108 No. 9 Article 094203
We consider the properties of the random regular graph with node degree d perturbed by chemical potentials μk for a number of short k-cycles. We analyze both numerically and analytically the phase diagram of the model in the (μk,d) plane. The critical curve separating the homogeneous and clusterized phases is found and it is demonstrated that the clusterized phase itself generically is ...
Added: September 19, 2023
Nikita S. Komarov, Vladimir M. Shevlyuga, Loginov B. et al., Journal of Physical Chemistry C 2023 Vol. 127 No. 5 P. 2266–2273
Adsorption of molecular chlorine onto the Ag(110) surface has been studied with low-temperature scanning tunneling microscopy, low-energy electron diffraction, and density functional theory calculations (DFT). At a coverage of 1/2 ML, chlorine forms a p(2 × 1) structure, which, with a further increase in coverage, transforms into a p(3 × 1) structure consisting of dimer rows. DFT ...
Added: June 27, 2023
Chertenkov V., Burovskiy E., Shchur L., / Series "stat-mech". 2023. No. 2305:0334.
We analyze the problem of supervised learning of ferromagnetic phase 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: May 8, 2023
M. A. Fadeeva, L. N. Shchur, Journal of Experimental and Theoretical Physics 2022 Vol. 135 No. 6 P. 869–875
The critical behavior of a four-component Potts model on a hexagonal lattice is investigated numerically. A modified Wang–Landau method is used with controlled accuracy of estimating the density of states (DOS). The finite-dimensional analysis of the results confirms the presence of a second-order phase transition with critical exponents corresponding to the universality class of the ...
Added: February 27, 2023
Danilov V., Gaydukov R., Russian Journal of Mathematical Physics 2023 Vol. 30 No. 2 P. 165–175
In this paper, we construct and study a model of a phase transition in a system of two
phases (liquid and ice) and three media — water, a piece of ice, and some nonmeltable
solid substrate. Namely, the melting-crystallization process is considered in the problem
of water flow along a small ice irregularity (such as a frozen drop) ...
Added: December 14, 2022
Агапов М. Г., Васильева З. С., Карасева А. И. et al., Этнографическое обозрение 2021 № 6 С. 102–116
© 2021, Russian Academy of Sciences. All rights reserved.This is a forum discussion of the article “The Anthropology of Time: History and the State of the Art” by Nikolai Ssorin-Chaikov. Authors explicate the article’s main argument and critically engage with its main points, particularly with the concept of temporal multiplicity and relations within it. In ...
Added: October 29, 2022
Olga Valba, Gorsky A., Scientific Reports 2022 Vol. 12 No. 1 Article 5540
It is important to reveal the mechanisms of propagation in diferent cognitive networks. In this study, we discuss the k-clique percolation phenomenon as related to the free association networks including the English Small World of Words project (SWOW-EN). We compared diferent semantic networks and networks of free associations for various languages. Surprisingly, k-clique percolation for ...
Added: October 29, 2022
Фадеева М. А., Shchur L., Журнал экспериментальной и теоретической физики 2022 Т. 162 № 6 С. 909–916
The critical behavior of the four-component Potts model on a hexagonal lattice is studied numerically. The modified Wang-Landau method with the control of the density of states estimation accuracy is used. A finite-dimensional analysis of the results obtained confirms the presence of a second-order phase transition with critical exponents corresponding to the universality class of ...
Added: September 5, 2022
Starikov S., Kolotova L., Scripta Materialia 2016 Vol. 113 P. 27–30
Using molecular dynamics simulations, we study the structural properties of body-centered cubic (BCC) and
body-centered tetragonal (BCT) phases of U–Mo alloys. The local positions of uranium atoms in the BCC phase
correspond to the BCT structure. Thus, the BCC lattice exhibits cubic symmetry only on the scale of several
interatomic spacings, and it is therefore more correct to ...
Added: January 28, 2022
Berezutskii A., Beketov M., Yudin D. et al., Journal of Physics: Complexity 2020 Vol. 1 No. 3 Article 03LT01
The numerical emulation of quantum systems often requires an exponential number of degrees of freedom which translates to a computational bottleneck. Methods of machine learning have been used in adjacent fields for effective feature extraction and dimensionality reduction of high-dimensional datasets. Recent studies have revealed that neural networks are further suitable for the determination of ...
Added: October 5, 2021
Valba O. V., Gorsky A., Physical Review D - Particles, Fields, Gravitation and Cosmology 2021 Vol. 103 No. 10 Article 106013
We discuss numerically the nonperturbative effects in exponential random graphs which are analogue of eigenvalue instantons in matrix models. The phase structure of exponential random graphs with chemical potential for C4 μ4 and degree preserving constraint is clarified. The first order phase transition at critical value of chemical potential for C4 μRRG 4 into bipartite ...
Added: August 17, 2021
Dmitriev A., Dmitriev V., Complexity 2021 Vol. 2021 Article 6612785
There is a number of studies, in which it is established that the observed flows of microposts generated by microblogging social networks (e.g., Twitter) are characterized by avalanche-like behavior. Time series of microposts depicting such streams are the time series with a power-law distribution, with 1/f noise and long memory. Despite this, there are no studies ...
Added: May 31, 2021
Negodin V., Polyachenko Y., Fleita D. et al., Journal of Molecular Liquids 2021 Vol. 322 No. 1-3 Article 114954
The equilibrium and metastable states of the Lennard-Jones vapor, liquid, and crystal, are studied in the vicinity of the phase transition points. Vapor-liquid, liquid-vapor, liquid-crystal, and crystal-liquid transitions are modeled within the molecular dynamics method. As a research tool, a four-point correlation function is used for the qualitative detection of collective motions of atoms in ...
Added: May 14, 2021
Korotayev A., LePoire D., , in: The 21st Century Singularity and Global Futures. A Big History Perspective.: Switzerland: Springer, 2020. P. 599–620.
This concluding chapter summarizes major findings of the present collective monograph. It traces the emergence of accelerating innovation rates through history and the major historical transformations through the evolution of life, humans, and civilization. It draws on the concepts from physics and evolutionary biology to offer potential models of the underlying mechanisms driving this acceleration ...
Added: November 13, 2020
Maminov A., Posypkin M., International Journal of Open Information Technologies 2019 Т. 7 № 11 С. 1–7
— We consider the optimization of the key design parameters of the 2-RPR parallel robot in this paper. Optimization is carried out according to two criteria: the area of the workspace of the 2-RPR robot and the controllability index - global dexterity index (GDI). In the process of analyzing the robot, the direct and inverse ...
Added: November 11, 2020
Posypkin M., Maminov A., , in: IEEE NW Russia Young Researchers in Electrical and Electronic Engineering Conference (EIConRusNW) 2020.: IEEE, 2020. P. 1992–1995.
In this article, we consider an approach for the
optimal multi-objective constrained design of the parallel robots.
Optimization is carried out according to two key criteria: the
workspace area and the global dexterity index (GDI) concerning
constrain. The workspace is the area that the robot can serve.
The value of the GDI correlates with the quality of this service.
Both objectives ...
Added: November 1, 2020
Koralov L., Molchanov S., Vainberg B., Applicable Analysis 2020
We consider a mean-field model of a polymer with a spherically symmetric finitely supported potential. We describe how the typical size of the polymer depends on the two parameters: the temperature, which approaches the critical value, and the length of the polymer chain, which goes to infinity. ...
Added: October 28, 2020
Kirill N. Boldyrev, Vasilisa E. Anikeeva, Marina N. Popova et al., Journal of Physical Chemistry C 2020 Vol. 124 No. 42 P. 23307–23316
The high-resolution terahertz reflection and mid- and near-infrared transmission spectroscopic studies of CH3NH3PbI3 hybrid perovskite single crystals are performed for the temperature range from 5 to 350 K. The observation of the torsional mode of the molecular cation (at 306 cm–1) and of 12 other low-frequency modes not observed before is reported. Mode Grüneisen parameters for ...
Added: October 22, 2020
Kazaryan M., Uribe-Vargas R., Moscow Mathematical Journal 2020 Vol. 20 No. 3 P. 511–530
We define local indices for projective umbilics and godrons (also called cusps of Gauss) on generic smooth surfaces in projective 3-space. By means of these indices, we provide formulas that relate the algebraic numbers of those characteristic points on a surface (and on domains of the surface) with the Euler characteristic of that surface (resp. ...
Added: August 24, 2020
Buryak A., Moscow Mathematical Journal 2020 Vol. 20 No. 3 P. 475–493
By a famous result of K. Saito, the parameter space of the miniversal deformation of the $A_{r-1}$-singularity carries a Frobenius manifold structure. The Landau-Ginzburg mirror symmetry says that, in the flat coordinates, the potential of this Frobenius manifold is equal to the generating series of certain integrals over the moduli space of $r$-spin curves. In ...
Added: May 22, 2020