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arXiv:2602.11290v1 Announce Type: new Abstract: Vector quantile regression (VQR) is an optimal transport (OT) problem subject to a mean-independence constraint that extends classical linear quantile...
arXiv:2602.11294v1 Announce Type: new Abstract: The celebrated Steiner tree problem is the problem of finding a set $\St$ of minimum one-dimensional Hausdorff measure $\H$ (length)...
arXiv:2602.11296v1 Announce Type: new Abstract: We analyze the parameter space of harmonic trinomial equations of the form $z^{n+m}+b\overline{z}^m+c$, where $n,m\in\mathbb{Z}^+$ are coprime and $b,c\in\mathbb{C}$. Using...
arXiv:2602.11303v1 Announce Type: new Abstract: We study the class of rings $R$ for which every direct sum of injective $R$-modules is cotorsion. We call them...
arXiv:2602.11306v1 Announce Type: new Abstract: Lagrangian multiforms provide a variational framework for describing integrable hierarchies. This thesis presents two approaches for systematically constructing Lagrangian one-forms,...
arXiv:2602.11307v1 Announce Type: new Abstract: This paper derives noncentral limit results (NCLTs) for suitable scaling of functionals of spatially homogeneous and isotropic, and stationary in...
arXiv:2602.11309v1 Announce Type: new Abstract: Determinantal methods for bounding the rank and border rank of tensors or polynomials are subject to a major barrier. For...
arXiv:2602.11319v1 Announce Type: new Abstract: In this paper, we propose a distributed flexible coupler (FC) array to enhance communication performance with low hardware cost. At...
arXiv:2602.11329v1 Announce Type: new Abstract: We express the $q$-Pochhammer symbol $(z;q)_\infty$ as an infinite product of gamma functions, analogously to how Narukawa expressed the elliptic...
arXiv:2602.11331v1 Announce Type: new Abstract: Let $G$ be a connected graph with vertex set $V$. The distance, $d_G(u, v)$, between vertices $u$ and $v$ of...
arXiv:2602.11336v1 Announce Type: new Abstract: We propose an efficient method for reconstructing traffic density with low penetration rate of probe vehicles. Specifically, we rely on...
arXiv:2602.11343v1 Announce Type: new Abstract: The excursion algebra associated to a scheme X over a finite field and a reductive group G is the algebra...
arXiv:2602.11344v1 Announce Type: new Abstract: The purpose of this article is to discuss the circle method and its quantitative role in understanding pointwise almost everywhere...
arXiv:2602.11352v1 Announce Type: new Abstract: We classify the combinatorial types of Murai spheres in dimensions $1$ and $2$, thereby showing that the corresponding convex simple...
arXiv:2602.11355v1 Announce Type: new Abstract: We introduce a refinement of Boolean-Catalan numbers and call them Boolean-Narayana numbers. We provide an explicit formula for these numbers,...
arXiv:2602.11365v1 Announce Type: new Abstract: We introduce $k$-robust clique complexes, a family of simplicial complexes that generalizes the traditional clique complex. Here, a subset of...
arXiv:2602.11366v1 Announce Type: new Abstract: How can a stack of identical blocks be arranged to extend beyond the edge of a table as far as...
arXiv:2602.11371v1 Announce Type: new Abstract: In this paper, a generalized Cauchy-Schwarz inequality for positive sesquilinear maps with values in noncommutative Lp-spaces for p > 1...
arXiv:2602.11372v1 Announce Type: new Abstract: For a given admissible vector field $X$, we define a geometric quantity for asymptotically flat $3$--manifolds, called $X$--ADM mass and...
arXiv:2602.11392v1 Announce Type: new Abstract: Quantum-mechanical observables for spatial and spacetime localization are considered from a lattice-theoretic perspective. It is shown that when replacing the...
arXiv:2602.11402v1 Announce Type: new Abstract: The correspondence between commutative rings of ordinary differential operators (ODOs) and algebraic curves was established by Burchnall and Chaundy, Krichever...
arXiv:2602.11420v1 Announce Type: new Abstract: This paper studies the existence, the structure and the spectral stability of time-periodic oscillating 180-degree N\'eel walls in ferromagnetic thin...
arXiv:2602.11423v1 Announce Type: new Abstract: We consider the spectral definition of the fractional Laplace operator and study a basic linear problem involving this operator and...
arXiv:2602.11426v1 Announce Type: new Abstract: A set $A \subseteq \mathbb{N}$ is a set of pointwise recurrence if for all minimal dynamical systems $(X, T)$, all...