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arXiv:2602.22084v1 Announce Type: new Abstract: Eigenvalue and eigenvector perturbation theory is a fundamental topic in several disciplines, including numerical linear algebra, quantum physics, and related...
arXiv:2602.22089v1 Announce Type: new Abstract: A hereditary class of graphs has bounded clique-width if and only if its prime members do, but this lifting property...
arXiv:2602.22097v1 Announce Type: new Abstract: We study the inverse problem of reconstructing an incompressible velocity field $\boldsymbol{v}$ from observations of the induced magnetic field $\boldsymbol{b}$....
arXiv:2602.22104v1 Announce Type: new Abstract: The conditions under which stochastic systems of infinitely many interacting particles can maintain sufficient spatial order to move coherently along...
arXiv:2602.22109v1 Announce Type: new Abstract: We consider a dynamic network in continuum time and space in which nodes, with initial locations given by a Poisson...
arXiv:2602.22123v1 Announce Type: new Abstract: In 1977, Makanin established the decidability of equations in free monoids. A key ingredient in his proof is the exponent...
arXiv:2602.22127v1 Announce Type: new Abstract: For $M_1$ and $ M_2$ two distinct primes, let $ H_k^\star(M_1M_2, \psi)$ denote the set of primitive newforms of level...
arXiv:2602.22129v1 Announce Type: new Abstract: We consider the problem of enumerating hypermatrices of format $2 \times (k + 1) \times k$ over a finite field...
arXiv:2602.22135v1 Announce Type: new Abstract: In type theory, an oracle may be specified abstractly by a predicate whose domain is the type of queries asked...
arXiv:2602.22147v1 Announce Type: new Abstract: This article studies the set of R-equivalence classes of the group of proper projective similitudes of an algebra with involution...
arXiv:2602.22162v1 Announce Type: new Abstract: A theta divisor on the universal principally polarised abelian variety can be extended to a compactification either by taking the...
arXiv:2602.22164v1 Announce Type: new Abstract: We study curves obtained by tracing triangle centers within special families of triangles, focusing on centers and families that yield...
arXiv:2602.22166v1 Announce Type: new Abstract: We introduce an extension of the concept of renormalised solutions for entropy-dissipating reaction-diffusion systems due to J. Fischer (Arch. Ration....
arXiv:2602.22167v1 Announce Type: new Abstract: We improve upon our previous result \cite{Ch} on short character sums over finite fields $\mathbb{F}_{p^n}$. Specifically, we show that for...
arXiv:2602.22173v1 Announce Type: new Abstract: Mixed-Integer Programs (MIPs) are NP-hard optimization models that arise in a broad range of decision-making applications, including finance, logistics, energy...
arXiv:2602.22178v1 Announce Type: new Abstract: The recent article `Satellite conjunction analysis and the false confidence theorem' (Balch, Martin, and Ferson, 2019, Proceedings of the Royal...
arXiv:2602.22181v1 Announce Type: new Abstract: Forty-five years ago, a young researcher in finite permutation group theory encountered a paper by Robert Woodrow. The homogeneous triangle-free...
arXiv:2602.22184v1 Announce Type: new Abstract: We study two-dimensional Coulomb gases in the presence of $m\in\mathbb{N}_{>0}$ outposts. An outpost is a connected component of the coincidence...
arXiv:2602.22189v1 Announce Type: new Abstract: We investigate $p$-adic automorphic forms on unitary groups through the geometry of infinite-level unitary Shimura varieties and the Hodge-Tate period...
arXiv:2602.22191v1 Announce Type: new Abstract: Given an ideal $I$ in a regular local ring $A$, the cohomological dimension of $I$ in $A$ is the index...
arXiv:2602.22192v1 Announce Type: new Abstract: We prove a new characterization of complex projective space using lengths of extremal rays.
arXiv:2602.22199v1 Announce Type: new Abstract: The $i$-dimensional Potts lattice Higgs model is a random assignment of spins in $\mathbb{Z}_q$ to the $i$-dimensional cells of a...
arXiv:2602.22202v1 Announce Type: new Abstract: We determine the set of side lengths of $d$-dimensional cubes with vertices in $\mathbb Z^n$ using Witt's cancellation theorem from...
arXiv:2602.22210v1 Announce Type: new Abstract: On a compact connected Lie group $G$, we study the global solvability and the cohomology spaces of the differential complex...