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Stability conditions for queueing systems with regenerative flow of interruptions
Theory of Probability and Its Applications. 2019. Vol. 63. No. 4. P. 507–531.
Tkachenko A., Afanasyeva L. G.
This paper is focused on the multichannel queueing system with heterogeneous servers, regenerative input flow, and a regenerative process of interruptions. Two service disciplines are studied: preemptive-repeat-different service discipline and preemptive resume service discipline. We consider discrete as well as continuous-time cases. We introduce an auxiliary service flow, which does not depend on the input flow, and construct the common points of regeneration for these two flows. Using such a synchronization method, we establish necessary and sufficient conditions for stability of the system under some additional assumptions. Additionally, under weaker assumptions, we also find the conditions needed for the queue length process to be stochastically bounded.
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
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
Shishkina E., Revista Internacional de Metodos Numericos para Calculo y Diseno en Ingenieria 2025
This article investigates the problem of approximating the generalized
Erdélyi-Kober fractional operator (often referred to as the Lowndes operator)
using cubic splines. A method based on cubic spline interpolation
is proposed for approximating the operator on a non-uniform grid. The
convergence rate of the proposed method is proven, and its stability is
analyzed. Error bounds are established for functions in ...
Added: March 2, 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
Lubashevsky I., Yashina M., Lubashevskiy V., Synchroinfo Journal 2025 Vol. 11 No. 1 P. 34–40
We propose a novel model of oscillatory chains that generalizes the contour discrete model of Buslaev nets. The model offers a continuous description of conflicts in system dynamics, interpreted as interactions between neighboring oscillators when their phases lie within defined interaction sectors. The size of the interaction sector can be seen as a measure of vehicle density within clusters ...
Added: September 23, 2025
Perfluorosulfonic acid polymer membrane with increased chemical stability for hydrogen-air fuel cell
Safronova E. Y., A. O. Bedarkova, Novikova S. et al., Polymer Degradation and Stability 2025 Vol. 240 Article 111477
One of the key tasks of hydrogen energy development is to obtain chemically stable proton exchange polymer membranes with high proton conductivity. This article presents the results on the investigation of the stabilization of proton-conducting membranes with a Nafion®-type structure using modification by fluorine. The membranes examined in this study exhibited high thermal stability and ...
Added: August 26, 2025
Boldyreva M., Zubkova E., Trubkina E. et al., Frontiers in Cell and Developmental Biology 2025 No. 13 Article 1603405
Over the past two decades, interest in spiny mice (Acomys species) has increased significantly, as they represent a unique model for experimental work (Gaire et al., 2021; Sandoval et al., 2020). In the process of evolution, Acomys sp. have retained an amazing ability to regeneration of various body tissues in adulthood. A number of studies ...
Added: July 16, 2025
Котельников А. В., Laboratorium. Журнал социальных исследований (США) 2024 Т. 16 № 2 С. 4–23
The article presents an ethnographic study of the commune Dom (Home), one of about a dozen currently existing communes (“homes”) in Saint Petersburg, Russia, based on cohabitation and management of common household by people who are not related to each other, in large apartments (once communal apartments or dormitories). The residents of the Dom postulate ...
Added: May 20, 2025
Makovkin S., Kozinov E., Ivanchenko M. et al., Scientific Reports 2022 Vol. 12 No. 1 P. 0
Recent in vitro and in vivo experiments demonstrate that astrocytes participate in the maintenance of cortical gamma oscillations and recognition memory. However, the mathematical understanding of the underlying dynamical mechanisms remains largely incomplete. Here we investigate how the interplay of slow modulatory astrocytic signaling with fast synaptic transmission controls coherent oscillations in the network of ...
Added: April 9, 2025
Буланова И. С., Dvoinin A., Двойнина В. К., Современная зарубежная психология 2025 Т. 14 № 1 С. 103–113
Recently, the concept of resilience has become very popular in psychological science, which in Russian-language psychology is translated as “zhiznesposobnost” [“viability”] or “ustoichivost” [“stability”]. Despite the fact that this concept has firmly entered the conceptual framework of psychological science, there is still no consensus among researchers on its definition and theoretical load. In the scientific ...
Added: April 1, 2025
Bogacheva P. O., Potapova D. A., A. E. Gaydukov, Neurochemical Research 2025 Vol. 50 Article 104
proBDNF and its main proteolytic product BDNF play crucial roles in maturation of neuromuscular junctions during development or reinnervation. We investigated the mechanisms of acute proBDNF effects on synaptic transmission in mouse motor synapses regenerating after nerve crush. The cleavage-resistant proBDNF mimicked the previously shown effect of cleavable proBDNF– GIRK-mediated decrease in the miniature endplate ...
Added: March 21, 2025
Kuzmin V. S., Egorov Y. V., Karhov A. M. et al., Doklady Biological Sciences 2025 Vol. 1 No. 1 P. 1–7
Spiny mice (Acomys cahirinus) exhibit the ability to regenerate the damaged myocardium and functionalindices of the heart. demonstrated in various models of cardiac pathologies. Cardioregenerative potentialof Acomys is associated with partial preservation of the neonatal phenotype of cardiac tissue in adult animals.The electrophysiology and mechanisms regulating the heart rhythm in Acomys are extremely poorlyunderstood. The ...
Added: February 26, 2025