September 2025 - 68 articles
Let χn−1(σ) denote the irreducible character of the symmetric group Sn corresponding to the partition (n−1,1). For an n×n matrix M=(mi,j), we denote its (n−1)-th immanant by dn−1(M). Let G be a simple connected...
This paper establishes a functorial algebraic isomorphism between the moduli space BCps(Σ,G) of polystable principal G-bundles with prescribed monodromy on a punctured Riemann surface Σ of genus g≥2, for a complex reductive Lie group G...
Effective operation of any service system requires optimal organization of the sharing of resources between the users (customers). To this end, it is necessary to elaborate on the mechanisms that allow for the mitigation of congestion, i.e., the accu...
This paper proposes two process monitoring schemes, namely the Shiryaev–Roberts (SR) procedure and the cumulative sum (CUSUM) procedure, to detect shifts in the shape and scale parameters of Type I right-censored Gamma-distributed lifetime data...
The Maxwell–Boltzmann (MB) distribution is important because it provides the statistical foundation for connecting microscopic particle motion to macroscopic gas properties by statistically describing molecular speeds and energies, making it es...
In this paper, we introduce and investigate a new subclass Rςug(ϕ) of universally prestarlike generalized functions of order ς, where ς≤1, associated with a shell-shaped region defined by Λ=C∖[1,∞) for...
In this article, input-to-output stability (IOS) for stochastic complex networked control systems (SCNCS) is investigated. By applying Kirchhoff’s matrix tree theorem in graph theory, an appropriate Lyapunov function is established which is rel...
We consider the category of based algebras with bilinear forms and show that any object in this category decomposes as a direct sum of irreducible orthogonal ideals. By associating an adequate graph with a based algebra with a bilinear form, this dec...
This paper is devoted to the study of the existence and uniqueness of solutions for a class of differential problems previously investigated by Laadjal. Our main contribution lies in deriving sharper estimates for the associated Green’s functio...
Cyclic scales are associated with convergents and semiconvergents of the continued fraction expansions of the generator tone. After each convergent, a scale lineage ends and another begins. Along a lineage, a constant number of generic accidentals ar...
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