?
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.
Zhuravleva T., Afanasev K., Engelmann J. et al., / Series "SSRN Working Paper Series". 2026.
Extortionary ("harassment") bribery can persist even when widely condemned, consistent with a coordination problem sustained by beliefs about what others do and what others consider acceptable. We study whether a minimal institutional featurethe presence of a third-party monitor empowered to punish-shifts (i) normative expectations about extortion and compliance and (ii) empirical expectations about their prevalence. ...
Added: July 22, 2026
Loubenets E. R., / Series arxiv.org "quant-ph". 2026. No. 2607.18050.
In many quantum applications it is important to know whether or not a Bell nonlocal two-qudit state exhibits its nonlocality under correlation scenarios with some given numbers S1,S2≥1 of generalized quantum measurements at two sites. In the present article, we find analytically a new general locality condition sufficient for a nonseparable Werner state with a ...
Added: July 21, 2026
Bolbachan V., / Series math "arxiv.org". 2024.
Chow polylogarithms are some special functions arising in explicit description of the Beilinson regulator map. The most interesting functional equation for this function reflects its vanishing on the boundary in the Bloch's cycle complex. We show that this functional equation formally follows from more simple ones, namely skew-symmetry, functoriality and multiplicativity.
To prove this, we study ...
Added: July 16, 2026
Bolbachan V., / Series math "arxiv.org". 2024.
Let K be a field of characteristic zero. We prove that its motivic cohomology in degree m−1 and weight m is rationally isomorphic to the cohomology of the polylogarithmic complex. This gives a partial extension of A. Suslin theorem describing the indecomposable K3 of a field. ...
Added: July 16, 2026
Panov V., Ryabchenko A., / Series arXiv "stat.ME". 2026. No. 2607.05048.
This paper investigates the problem of statistical inference for a mixture distribution consisting of a discrete and a continuous component, with a particular focus on the class of rational-infinitely divisible distributions. We consider non-parametric estimation of both components of the mixture as well as the quasi-L{é}vy measure, assuming that the mixture belongs to the class ...
Added: July 9, 2026
Mishin A., Guerrieri L., Kim J., / Series 2026-042 "Finance and Economics Discussion Series (FEDS)". 2026.
Within narrowly defined industries, the most productive firms produce far more than the least productive from the same inputs, and this dispersion widens in downturns. We build a tractable representative-agent model in which financial frictions—adverse selection and moral hazard—make firms sort endogenously into lenders, strategic defaulters, and producers. As credit conditions vary, the resulting misallocation ...
Added: June 28, 2026
Власов С. А., Nevalennyi M., Сафиулин Р. Р. et al., / Банк России. Серия Аналитическая записка "Материалы Банка России". 2026.
В аналитической записке обсуждается долгосрочно устойчивый уровень цены на российскую нефть. Это тот уровень, к которому цена нефти, вероятнее всего, будет тяготеть в долгосрочной перспективе. Потребность в его определении возникает по нескольким причинам. Во-первых, цена на нефть остается одним из ключевых экономических показателей российской экономики, определяющих экспорт, обменный курс рубля, прибыль, доходы и расходы бюджета, ...
Added: June 27, 2026
Глазова А. М., Nevalennyi M., Синяков А. А., / Банк России. Серия Препринты Банка России "Серия докладов об экономических исследованиях". 2025. № 154.
The paper proposes a graphical model of a small open economy. The dynamics of the graphical model is then illustrated using impulse responses from the corresponding formal semi-structural model (QPM model). The authors have several goals in preparing this description of the graphical macroeconomic model. The first goal of the paper is to present an adapted ...
Added: June 27, 2026
Mishin A., Guerrieri L., Canzoneri M. et al., / Series 2026-042 "Finance and Economics Discussion Series (FEDS)". 2026.
Added: June 27, 2026
Konakov V., Kucher D., Mammen E., / Series arXiv "math". 2026. No. 2606.11142v1.
In this paper, we construct strong approximations for discrete-time Markov chains weakly converging to continuous diffusion processes, as well as for their perturbed counterparts. Under the assumption of bounded coefficients, we construct closely coupled versions of these processes on a shared probability space. In particular, for both non-degenerate and degenerate cases, we maximize the probability ...
Added: June 11, 2026
Bogatyrev R., Sandomirskaia M., / NRU Higher School of Economics. Series EC "Economics". 2026. No. 19(1).
This work develops a tractable model of price competition in fragmented markets where consumers consider both local and distant varieties, with cross-regional purchases subject to stochastic costs. Global competition and full localization emerge as polar cases; hybrid competition is not merely intermediate and exhibits distinctive features such as an endogenous price ceiling and non-monotonic entry ...
Added: June 11, 2026
Kravtsova M., Musaev A. U., Welzel C., / Series "SSRN Working Paper Series". 2026.
Elaborating on Welzel et al.'s "Cool Water Theory," our study zooms into the more limited (albeit still varied) framework conditions of Russia's huge territory. Within Russia's confines, we examine how the combination of moderately cool seasons with steady rain (i.e., Cool Water) affects sub-national areas' contemporary societal progress in two modernization indicators: material prosperity in ...
Added: June 3, 2026
Синяков А. А., Зверева В., Шелованова Т. И., / Центральный банк Российской Федерации. Серия 132 / 2024 "Серия докладов об экономических исследованиях". 2024. № 132.
At the end of 2023, Russia updated its Strategy for Improving Financial Literacy and Developing Financial Culture Until 2030. Unlike the previous strategy, the current strategic goals include not only financial literacy but also financial culture. ‘Culture’ is normative and socially preferred behaviour. The updated strategy brings into focus the relationship between financial literacy and responsible financial behaviour. To explore this relationship, the authors rely on data from the All-Russian Survey of Consumer Finance (2020 and 2022). Socially ...
Added: June 1, 2026
Vorchik A., / SSRN. Серия Social Science Research Network "Social Science Research Network". 2026.
This work is devoted to a theoretical explanation of the Easterlin paradox, according to which long-term economic growth does not make average level of people's happiness increasing. By happiness, we mean the intensity of emotions people experience while comparing their new income with its expected value, or the target income with its original value. In the first case, ...
Added: May 31, 2026
Dorovskiy A., / Series arXiv "math". 2026.
In this paper the structural stability of generic families of vector fields of the PC-HC class on the two-dimensional sphere is proved. A classification of these families up to moderate equivalence in neighborhoods of their large bifurcation supports is presented, based on such invariants as the configuration and the characteristic set. The realization lemma is proved. ...
Added: May 14, 2026
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
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