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Negative energy, debts, and disinformation from the viewpoint of analytic number theory
Russian Journal of Mathematical Physics. 2016. Vol. 23. No. 3. P. 355–368.
The number zero and negative numbers are added to analytical number theory which includes transcendents. New solutions of Diophantine equations are applied to thermodynamics, information theory and biology.
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
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
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
Ustyuzhanin V., / Series Econometrics "arxiv". 2026.
This paper proposes Covariate-Balanced Weighted Stacked Difference-in-Differences (CBWSDID), a design-based extension of weighted stacked DID for settings in which untreated trends may be conditionally rather than unconditionally parallel. The estimator separates within-subexperiment design adjustment from across-subexperiment aggregation: matching or weighting improves treated-control comparability within each stacked subexperiment, while the corrective stacked weights of Wing et ...
Added: April 3, 2026
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
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
Vorchik A., / Social Science Research Network. Серия SSRN Working Paper Series "SSRN Working Paper Series". 2026.
This article is devoted to the phenomenon of intrinsic motivation, to understand which two models are proposed. We study how positive/negative intrinsic motivation to work (experienced utility) affects worker's individual labour supply (model I) and the amount of effort they exert (model II). In model I, we use intrinsic motivation to explain the positive/negative slope ...
Added: March 15, 2026
Kolesnikov A., / Series arXiv "math". 2025.
We study Blaschke--Santal{ó}-type inequalities for N>=2 sets (functions) and a special class of cost functions. In particular, we prove new results about reduction of the maximization problem for the Blaschke--Santal{ó}-type functional to homogeneous case (functional inequalities on the sphere) and extend the symmetrization argument to the case of N>2 sets.
We also discuss links to the ...
Added: February 13, 2026
Vorchik A., Мамышев М. А., / Series Social Science Research Network "Social Science Research Network". 2025.
In this paper, we develop a formal mathematical model aimed to explain the Dunning-Kruger effect that beginners systematically overestimate their own competence in various fields of knowledge and activity. We argue that the Dunning-Kruger effect arises from the emotional nature of confidence combined with unknown unknowns that it simply can not take into account due ...
Added: February 11, 2026
Musaev A. U., Vorchik A., / Series Social Science Research Network "Social Science Research Network". 2026.
This paper attempts to model the evolutionary theory of modernization and democratization. The model reflects the key provisions of R. Inglehart and C. Welzel's theory and provides a microfoundation for the adaptation of subjective values to the objective importances of the survival factors and the structure of the labour markets from the perspective of evolutionary ...
Added: February 10, 2026
Antsygina A., Teteryatnikova M., Tremewan J. C. et al., / Series "SSRN Working Paper Series". 2025.
Many competitive environments allow for a third party to be indirectly involved by supporting one or both sides in the conflict. Such support can come from trade partners, colleagues, or allies, who can in turn benefit from a supported party's success. We use theory and an experiment to investigate how support relationships develop endogenously in ...
Added: January 31, 2026
Akhmedova A., / Series "SSRN Working Paper Series". 2026.
The study explores a psychological phenomenon of inaction inertia-avoiding action after missing a more favourable opportunity. Unlike action inertia (e.g.,sunk costs effect), inaction inertia has been less studied, particularly in economic contexts. Considering the reference dependent nature of the phenomenon, I build on the work of Kőszegi and Rabin (2006) to examine how past experiences ...
Added: January 23, 2026
Kuchumova (Paramonova) Y. A., Ozhegova A., Зорина К. С., / Series SSRN "Available at SSRN 6108727". 2026.
Simplified tax regimes with explicit eligibility thresholds are a common tool which reduces tax burden but distorts firms’ behavior, creating local bunching just below the threshold. However, we show that when firms have access to business splitting their responses extend far beyond the local margin. Our model demonstrates that splitting reduces local bunching but amplifies ...
Added: January 21, 2026
Kuchumova (Paramonova) Y. A., Кумачева С. Ш., / Series SSRN "Available at SSRN 5312100". 2025.
In recent years, an emerging body of empirical research has shown that tax audits, in addition to recovering unpaid taxes (direct effect), increase future tax compliance (indirect or dynamic effect). This literature also suggests that updating expectations induced by audit experience plays an important role in explaining this indirect effect. However, exactly how taxpayers form ...
Added: January 21, 2026
Kuchumova (Paramonova) Y. A., / Series SSRN "Available at SSRN 5277500". 2025.
While the emerging empirical literature shows that collateral tax sanctions (CTSs) - such as driver’s license suspensions or passport denials - appear to be effective instruments to enforce tax debt collection, there are still few theoretical arguments to explain why. In this paper, I model enforcement of tax debt collection and provide a new rationale for why it could ...
Added: January 21, 2026
Dobrynskaya V. V., Tomtosov A., Речмедина С., / NRU HSE. Series WP BRP 60/FE/2017 "SERIES: FINANCIAL ECONOMICS". 2025.
We study the application of factor investing in the market for real estate (REITs). The analysis of traditional factor strategies, such as momentum, value, size and profitability, reveals their unstable and atypical behavior in comparison to the equity market, however, there is a strong momentum effect in the factor strategies. We propose a new dynamic ...
Added: January 21, 2026
Los A., Nesterenko A., Rogacheva O., В кн.: Алгебра, теория чисел, дискретная математика и многомасштабное моделирование: современные проблемы, приложения и проблемы истории. Материалы XXII Международной конференции, посвящённой 120-летию со дня рождения академика Андрея Николаевича Колмогорова и 60-летию со дня открытия школы-интерната № 18 при Московском университете.: [б.и.], 2023. С. 151–157.
One of the requirements for the quality of cryptographic algorithms is the equiprobable distribution of the characters of the sequence obtained after applying the cryptographic transformation. This requirement is due to the fact that in the presence of unequal probability of signs of the output sequence, it becomes possible to construct an effective method for ...
Added: April 24, 2024
Kirill Andreev, Ustinova D., Alexey Frolov, IEEE Wireless Communications Letters 2024 Vol. 13 No. 1 P. 69–73
We consider unsourced random access with MIMO receiver – a crucial communication scenario for future 5G/6G wireless networks. We perform a projection-based decoder analysis and derive energy efficiency achievability bounds when channel state information is unknown at transmitters and the receiver (no-CSI scenario). A comparison to the maximum-likelihood (ML) achievability bounds by Gao et al. ...
Added: January 22, 2024
Gromov V., Dang Q. N., , in: 10th International Conference, PReMI 2023, Kolkata, India, December 12–15, 2023, Proceedings. Pattern Recognition and Machine Intelligence. LNCS, volume 14301.: Cham: Springer, 2023. Ch. 3 P. 20–27.
Added: November 29, 2023
Kowshik S., Kirill Andreev, Frolov A. et al., IEEE Transactions on Communications 2020 Vol. 68 No. 8 P. 4694–4708
We discuss the problem of designing channel access architectures for enabling fast, low-latency, grant-free, and uncoordinated uplink for densely packed wireless nodes. Specifically, we study random-access codes, previously introduced for the AWGN MAC, in the practically more relevant case of Rayleigh fading, when channel gains are unknown to the decoder. We propose a random coding ...
Added: September 9, 2023
Glebov A., Rybin P., Kirill Andreev et al., IEEE Communications Letters 2023 Vol. 27 No. 9 P. 2313–2317
We investigate the fundamental limits of the unsourced random access over the binary-input Gaussian channel. By fundamental limits, we mean the minimal energy per bit required to achieve the target per-user probability of error. The original method proposed by Y. Polyanskiy (2017) and based on Gallager’s trick does not work well for binary signaling. We ...
Added: September 9, 2023
Kirill Andreev, Rybin P., Alexey Frolov, IEEE Transactions on Communications 2022 Vol. 70 No. 12 P. 7886–7898
We consider a coded compressed sensing approach for the unsourced random access and replace the outer tree code proposed by Amalladinne et al. (2020) with the list recoverable code capable of correcting t errors. A finite-length random coding bound for such codes is derived. The numerical experiments in the single-antenna quasi-static Rayleigh fading channel show that transition ...
Added: September 9, 2023
IEEE, 2023.
Processing and transmission of information and telecommunication systems
It is supposed to consider the results of current and promising scientific research on:
processing and transmission of information in infocommunication systems;
solving problems of error-correcting coding, assessing the limiting characteristics of communication systems;
methods of machine learning and decision making;
solving urgent problems that are formed at the junction of information ...
Added: July 18, 2023
IEEE, 2020.
Processing and transmission of information and telecommunication systems
It is supposed to consider the results of current and promising scientific research on:
processing and transmission of information in infocommunication systems;
solving problems of error-correcting coding, assessing the limiting characteristics of communication systems;
methods of machine learning and decision making;
solving urgent problems that are formed at the junction of information theory, ...
Added: October 30, 2022