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Investigation into the Regular and Chaotic States of Twitter
Discontinuity, Nonlinearity, and Complexity. 2018. Vol. 7. No. 4. P. 403–411.
Dmitriev V., Dmitriev A.
The present paper is devoted to the investigation into the nonlinear dynamics of Twitter. A new model of Twitter as a thermodynamic non-equilibrium system is suggested. Dynamic variables of such system are represented by the variations of tweet/retweet number and instantaneous diversity between the densities of population on different levels around the equilibrium values. Regular and chaotic states of networks are described. It is pointed out, that the system is in a condition of an asymptotically stable equilibrium when the intensity values of an external information are small (the number of tweets eventually tends to its equilibrium value). If the intensity values of external information exceed the critical value, then the chaotic oscillations of tweets are to be observed. We have made the calculations of the correlation dimension and embedding dimension for the dynamics of the 10 most popular @ (TOP 100 by data of Twitter Counter). The results show, that all observed time series have clearly defined chaotic dynamical nature.
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
Nazarova A., Malik M. S., Ignatov D. I. et al., Social Network Analysis and Mining 2024 Vol. 14 Article 228
Identifcation of threatening comments on social media platforms has recently gained attention. Prior approaches have addressed
this task in some low-resource languages but the interpretability of results was not studied. In addition, approaches in the English
language are minimal. To support explainable predictive inference, this research proposes an inherently explainable model for threat
comment identifcation on Twitter. The ...
Added: December 11, 2024
Olesia Dogonasheva, Daniil Radushev, Boris Gutkin et al., Communications in Nonlinear Science and Numerical Simulation 2025 Vol. 140 Article 108321
Methods that distinguish dynamical regimes in networks of active elements make it possible to design the dynamics of models of realistic networks. A particularly salient example of such dynamics is partial synchronization, which may play a pivotal role in emergent behaviors of biological neural networks. Such emergent partial synchronization in structurally homogeneous networks is commonly ...
Added: August 31, 2024
Chernyshov A., Kozelov B. V., Mogilevsky M. M., Physica A: Statistical Mechanics and its Applications 2024 Vol. 639 Article 129661
It is well-known that the auroral region of the magnetosphere–ionosphere interaction is an open, nonlinear dissipative system far from the equilibrium state. It is in this region that auroras are regularly observed, demonstrating not only a wide variety of dynamic forms but also a wide range of temporal and spatial scales. Due to the memory ...
Added: April 8, 2024
Malik M. S., Younas M. Z., Jamjoom M. M. et al., PeerJ Computer Science 2024 Vol. 10 Article e1859
Identification of infrastructure and human damage assessment tweets is beneficial to disaster management organizations as well as victims during a disaster. Most of the prior works focused on the detection of informative/situational tweets, and infrastructure damage, only one focused on human damage. This study presents a novel approach for detecting damage assessment tweets involving infrastructure ...
Added: February 16, 2024
Khan R., Khan H. U., Faisal M. S. et al., International Journal of Computer Science and Information Security 2016 Vol. 14 No. 8 P. 1–10
Web mining analyzes web content, its usage and structure. The users’ behavior, interaction and generated content analysis have vast applications such as market analysis, social issues examination and study of human behavior. Twitter is a widely used social network that provides short message facility to its users to generate their own content. There are a ...
Added: November 29, 2023
Molodchik M., Гагарин А. С., Елтышев Р. А., Российский журнал менеджмента 2023 Т. 21 № 1 С. 5–22
Goal: the paper evaluates the impact of a company’s digital image on its value. Methodology: the authors use panel data analysis applied to a large array of information on the news of the 25 largest US medias, the Google Trends web application and the Twitter social network for the period from 2017 to 2022 for ...
Added: November 28, 2023
Nikiporets-Takigawa G., Digital Icons: Studies in Russian, Eurasian and Central European New Media 2013 No. 9 P. 1–25
This paper discusses the interaction between social media and the Russian 2011- 2013 protests. First, it critically observes the existing analytical work on the role of social media in movements worldwide, situating the Russian experience within this context. Sec- ondly, it examines sporadic facts and presuppositions by mapping and analysing a large num- ber of ...
Added: April 12, 2023
Sosnin A., Balakina Y. V., Jucovscaia A., Ezikov Svyat 2023 Vol. 21 No. 1 P. 96–109
The article implements an integrated approach to examining the mobilization potential of Twitter, which incorporates an analysis of intentions stated by the authors of hashtags and messages. The study cited in the article proceeds from J. Austin and J. Searle’s approach who argued that any utterance is essentially preparedness to perform an action, and examines ...
Added: February 27, 2023
Dmitriev A., Lebedev A., Abbas N. et al., , in: AIP Conference Proceedings 2872: 11th Int’l Conference on Mathematical Modeling in Physical Sciences. Belgrade, Serbia, 5-8 September 2022.: AIP Publishing LLC, 2023. Ch. 080002 P. 1–12.
The research results devoted to the construction and analysis of the stochastic nonlinear dynamic system of
equations that simulate the self-organization of Twitter into the critical state are presented. A nonlinear dynamic system links three dynamic variables. The first variable corresponds to the order parameter determined by the average size of avalanches of microposts (tweets, retweets). The second ...
Added: December 10, 2022
Stukal D., Sanovich S., Bonneau R. et al., American Political Science Review 2022 Vol. 116 No. 3 P. 843–857
There is abundant anecdotal evidence that nondemocratic regimes are harnessing new digital technologies known as social media bots to facilitate policy goals. However, few previous attempts have been made to systematically analyze the use of bots that are aimed at a domestic audience in autocratic regimes. We develop two alternative theoretical frameworks for predicting the ...
Added: November 14, 2022
Smetanin S., PeerJ Computer Science 2022 No. 8 Article e1039
The Russian language is still not as well resourced as English, especially in the field of sentiment analysis of Twitter content. Though several sentiment analysis datasets of tweets in Russia exist, they all are either automatically annotated or manually annotated by one annotator. Thus, there is no inter-annotator agreement, or annotation may be focused on ...
Added: June 29, 2022
Philippov I., Yureskul E., Stukal D. et al., , in: 2021 14th International Conference Management of large-scale system development (MLSD).: IEEE, 2021. P. 1–5.
Added: December 1, 2021
Товкес М. Ю., Вестник Новосибирского государственного университета. Серия: Лингвистика и межкультурная коммуникация 2021 Т. 19 № 2 С. 118–132
The study focuses on issues related to gender stereotypes of the blog community based on bloggers’ individual reactions and their impact on the perception of female politicians. The sample comprises tweets of the Russian- and English-speaking segments of this microblog, selected by keywords (based on the researcher’s view on the component structure of the thematic ...
Added: September 25, 2021
Gabrielova E., Maksimenko O., Russian Journal of Linguistics 2021 Vol. 25 No. 1 P. 105–124
The current research answers the question how Twitter users express their evaluation of the topical social problem (explicitly or implicitly) and what linguistic means they use being restricted by the limited length of the message. The article explores how Twitter users socialize with each other and exchange ideas on social issues of great importance, express ...
Added: January 11, 2021