An Elementary Obstruction to the Existence of a Perfect Cuboid
arXiv:2602.00239v1 Announce Type: new Abstract: We study arithmetic constraints arising from the three faces meeting along the space diagonal of a rectangular cuboid. Using a...
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arXiv:2602.00239v1 Announce Type: new Abstract: We study arithmetic constraints arising from the three faces meeting along the space diagonal of a rectangular cuboid. Using a...
arXiv:2602.00244v1 Announce Type: new Abstract: We propose a Bayesian framework for feedback boundary control for hyperbolic balance laws. The method propagates a probability distribution over...
arXiv:2602.00252v1 Announce Type: new Abstract: This paper provides a link between integer exponentiation and integer tetration since it is devoted to introducing some peculiar sets...
arXiv:2602.00264v1 Announce Type: new Abstract: Several numerical schemes for 3-wave kinetic equations have been proposed in recent work and shown to be accurate and computationally...
arXiv:2602.00271v1 Announce Type: new Abstract: We consider a free smooth action $\Phi \colon G \times M \to M$ of a connected compact Lie group $G$...
arXiv:2602.00274v1 Announce Type: new Abstract: For a complex reductive group $G$, we consider the locus $M^d$ in the moduli stack of $G$-Higgs bundles on which...
arXiv:2602.00278v1 Announce Type: new Abstract: The threshold $p_c(H)$ for the event that the binomial random graph $G_{n,p}$ contains a copy of a graph $H$ is...
arXiv:2602.00280v1 Announce Type: new Abstract: The singularity theory of rational functions, i.e., the quotient of two polynomials, has been investigated in the past two decades....
arXiv:2602.00293v1 Announce Type: new Abstract: We construct an example of a $C^1$ circle covering map topologically conjugate to the doubling map, such that it has...
arXiv:2602.00322v1 Announce Type: new Abstract: We study the discrete Bourgain-Morrey sequence spaces $\ell^{p}_{q,r}(\mathbb{Z})$, recently introduced as discrete counterparts of Morrey-type spaces. We show that $c_{00}$...
arXiv:2602.00324v1 Announce Type: new Abstract: Synchronization over the special Euclidean group SE(3) aims to recover absolute poses from noisy pairwise relative transformations and is a...
arXiv:2602.00326v1 Announce Type: new Abstract: The classical Newtonian potentials, defined in terms of metrics, give rise to the basic family of kernels defining linear integral...
arXiv:2602.00345v1 Announce Type: new Abstract: We consider spherically symmetric Yang-Mills equations with gauge group $SO(d)$ in $d+1$ dimensional Minkowski spacetime. For any given odd $d\geq...
arXiv:2602.00346v1 Announce Type: new Abstract: We prove that the upper blow-up theorem in the Engel group holds for $C^1$ submanifolds. Combining this result with the...
arXiv:2602.00351v1 Announce Type: new Abstract: Motivated by applications in online marketplaces such as ride-hailing platforms and payment channel networks, we study a single-server queue with...
arXiv:2602.00356v1 Announce Type: new Abstract: Mathematics researchers are becoming more involved with research questions at the interface of data science and social justice. This type...
arXiv:2602.00358v1 Announce Type: new Abstract: Let $\mathcal{M}\subset B(\mathcal{H})$ be a semifinite von Neumann algebra, where $B(\mathcal{H})$ denotes the algebra of all bounded linear operators on...
arXiv:2602.00362v1 Announce Type: new Abstract: deBruijn graphs are widely used in genomics and computer science. In this paper we present a novel approach to finding...
arXiv:2602.00366v1 Announce Type: new Abstract: Spacecraft rendezvous and proximity operations (RPO) pose safety risks to high-value assets, so formal safety guarantees are critical. Yet conservative...
arXiv:2602.00373v1 Announce Type: new Abstract: This paper investigates the asymptotic analysis of an optimal control problem (OCP) posed on a high-contrast elastic medium with soft...
arXiv:2602.00375v1 Announce Type: new Abstract: We investigate the asymptotic behaviour of solutions of a class of nonlocal Fokker--Planck equations defined by nonsingular, heavy-tailed convolution kernels...
arXiv:2602.00386v1 Announce Type: new Abstract: We investigate the Moore-Penrose pseudoinverse and generalized inverse of a matrix product $A=CR$ to establish a unifying framework for generalized...
arXiv:2602.00404v1 Announce Type: new Abstract: A numerical semigroup is an additive subsemigroup of the natural numbers that contains zero and has finite complement. A numerical...
arXiv:2602.00416v1 Announce Type: new Abstract: Motivated by W. P. Thurston, we ask: What is the shape of a meromorphic function on a simply connected Riemann...