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arXiv:2603.04268v1 Announce Type: new Abstract: We characterize the extreme and exposed points of the unit ball (with respect to the $L^1$-norm) in the shift-invariant space...
arXiv:2603.04271v1 Announce Type: new Abstract: Magnitude is an isometric invariant of metric spaces introduced by Leinster. Although magnitude is nowhere continuous on the Gromov-Hausdorff space...
arXiv:2603.04274v1 Announce Type: new Abstract: In this paper, we consider sums of four generalized polygonal numbers whose parameters are restricted to integers with a bounded...
arXiv:2603.04280v1 Announce Type: new Abstract: This paper studies maintenance optimization for a two-component system under mixed observability. Component~$U_1$ is fully monitored, whereas component~$U_2$ is only...
arXiv:2603.04282v1 Announce Type: new Abstract: We prove that, over an arbitrary imaginary quadratic field, every symmetric formal Fourier-Jacobi series of Hermitian modular forms converges and...
arXiv:2603.04295v1 Announce Type: new Abstract: We study the geometry of $q$-rational numbers, introduced by Morier-Genoud and Ovsienko, for positive real $q$. In particular, we construct...
arXiv:2603.04303v1 Announce Type: new Abstract: We provide an explicit classification of all simple $\mathfrak{sl}_2$-modules that are torsion free of rank $1$ over the Cartan subalgebra....
arXiv:2603.04313v1 Announce Type: new Abstract: Coupled cell systems model interacting dynamical units and provide a natural framework for studying synchrony phenomena arising from collective behavior....
arXiv:2603.04316v1 Announce Type: new Abstract: Integral-equation-based fast direct solvers for electromagnetic scattering can substantially reduce computational costs, especially in the presence of multiple excitations. We...
arXiv:2603.04326v1 Announce Type: new Abstract: We derive a hydrodynamics formulation for a modified Dirac equation with a nonlinear mass term that preserves the homogeneity of...
arXiv:2603.04331v1 Announce Type: new Abstract: In this paper, we consider an age-structured mechanical model for tumor growth. This model takes into account the life-cycle of...
arXiv:2603.04344v1 Announce Type: new Abstract: We study packet routing in the Kautz digraph K(d,D), where every ordered pair of distinct vertices is connected by a...
arXiv:2603.04347v1 Announce Type: new Abstract: Geometric (also known as spatial) quantiles, introduced by Chaudhury and representing one of the three principal approaches to defining multivariate...
arXiv:2603.04350v1 Announce Type: new Abstract: This paper introduces Exp-ParaDiag, a novel time-parallel method that combines the strength of exponential integrators into the ParaDiag framework. We...
arXiv:2603.04365v1 Announce Type: new Abstract: This paper establishes a comparison theorem for the maximum eigenvalue of a sum of independent random symmetric matrices. The theorem...
arXiv:2603.04369v1 Announce Type: new Abstract: Skewed distributions are fundamental in modelling asymmetric data on the d-dimensional torus. In this context, asymmetry is introduced through the...
arXiv:2603.04376v1 Announce Type: new Abstract: We formalize in Lean the following foundational result in commutative algebra: Let $R \to S$ be a faithfully flat map...
arXiv:2603.04386v1 Announce Type: new Abstract: We show that for any infinite tree of finite cone type satisfying a mild expansion condition, the only typical process...
arXiv:2603.04387v1 Announce Type: new Abstract: Existence of superdecomposable pure-injective modules reflects complexity in the category of finite-dimensional representations over an algebra. Such an existence occurs...
arXiv:2603.04391v1 Announce Type: new Abstract: This paper is devoted to the classification and studying properties of complex unital $3$-dimensional structurable algebras. We provide a complete...
arXiv:2603.04396v1 Announce Type: new Abstract: Many research works have concerned normality-preserving selection rules and operations on the sequence of digits of a given normal number...
arXiv:2410.22521v1 Announce Type: cross Abstract: In this study, we investigate the ISS of impulsive switched systems that have modes with both stable and unstable flows....
arXiv:2603.03375v1 Announce Type: cross Abstract: In 2018, McInnes et al. introduced a dimensionality reduction algorithm called UMAP, which enjoys wide popularity among data scientists. Their...
arXiv:2603.03438v1 Announce Type: cross Abstract: Most of the known non-invertible symmetries of quantum field theories in three and four spacetime dimensions act invertibly on local...