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arXiv:2406.01510v3 Announce Type: replace Abstract: We develop a quasisymmetric analogue of the combinatorial theory of Schubert polynomials and the associated divided difference operators. Our counterparts...
arXiv:2406.09872v2 Announce Type: replace Abstract: In this work, we develop algebraic solvers for linear systems arising from the discretization of second-order elliptic partial differential equations...
arXiv:2406.18270v2 Announce Type: replace Abstract: We consider semantics-aware remote estimation of a discrete-state Markov source with both normal (low-priority) and alarm (high-priority) states. Erroneously announcing...
arXiv:2407.05167v2 Announce Type: replace Abstract: This article deals with computing the cohomology of Schur functors applied to tautological bundles on super Grassmannians. We show that...
arXiv:2407.09226v3 Announce Type: replace Abstract: We introduce the special and general projectivity groups attached to a simplex $F$ of a thick irreducible spherical building of...
arXiv:2407.18836v2 Announce Type: replace Abstract: Let $f:N\rightarrow (M,g)$ be an oriented (or spin), complete, stable, minimal, immersed hypersurface. In this paper we establish various vanishing...
arXiv:2407.20310v2 Announce Type: replace Abstract: We exhibit an example of discontinuity point for the Lyapunov exponents as a function of the cocycle in the $\alpha$-H\"older...
arXiv:2408.04330v4 Announce Type: replace Abstract: Let $k =\mathbb{F}_q$ be the finite field of $q$ elements and $E$ an elliptic curve over $k$. Let $F =...
arXiv:2408.12002v3 Announce Type: replace Abstract: The Dirichlet Principle is an approach to solving the Dirichlet problem by means of a Dirichlet energy integral. It is...
arXiv:2408.12557v2 Announce Type: replace Abstract: We study certain orientation-preserving involutions on three-dimensional small covers. We prove that the quotient space of an orientable three-dimensional small...
arXiv:2409.03739v3 Announce Type: replace Abstract: Grothendieck constants $K_G(d)$ bound the advantage of $d$-dimensional strategies over $1$-dimensional ones in a specific optimisation task. They have applications...
arXiv:2409.10037v2 Announce Type: replace Abstract: Building on the notes [Hai17], we give a sufficient condition for the marginal distribution of the solution of singular SPDEs...
arXiv:2409.15555v5 Announce Type: replace Abstract: The independent set sequence of trees has been well studied, with much effort devoted to the (still open) question of...
arXiv:2409.15785v3 Announce Type: replace Abstract: We present a unified construction of perfectoid towers from specific prisms which covers all the previous constructions of (p-torsion-free) perfectoid...
arXiv:2410.01321v2 Announce Type: replace Abstract: Hyperbolic polynomials are monic real-rooted polynomials. By Bronshtein's theorem, the increasingly ordered roots of a hyperbolic polynomial of degree $d$...
arXiv:2410.03374v2 Announce Type: replace Abstract: We study an inverse resonance problem on the line in which we aim at determining a compactly supported and integrable...
arXiv:2410.09786v2 Announce Type: replace Abstract: The Ordered Weighted Averaging (OWA) operator is a traditional and commonly used criterion for aggregating discrete values of uncertain quantities....
arXiv:2410.10882v2 Announce Type: replace Abstract: We establish an explicit formula for the type number of quaternion orders of level $(N_1, N_2)$, where $N_1 = p_1^{2u_1+1}...
arXiv:2410.16849v2 Announce Type: replace Abstract: In this work, we analyze the convergence of Polyak's heavy ball method in both continuous and discrete time for non-convex...
arXiv:2410.20408v3 Announce Type: replace Abstract: This paper introduces a novel tangential-normal ($t$-$n$) decomposition for finite element differential forms, presenting a new framework for constructing bases...
arXiv:2410.21570v3 Announce Type: replace Abstract: We develop a novel switching dynamics that converges to the Karush-Kuhn-Tucker (KKT) point of a nonlinear optimisation problem. This new...
arXiv:2411.03242v2 Announce Type: replace Abstract: For a circle action on a compact almost complex manifold with a fixed point, the lower bound on the number...
arXiv:2411.04015v2 Announce Type: replace Abstract: We prove a Baum--Bott type residual formula for one-dimensional holomorphic foliations, and logarithmic along free divisors. More precisely, this provides...
arXiv:2411.07804v5 Announce Type: replace Abstract: In this paper, we investigate the behavior of Igusa-Todorov distances, extension and Rouquier dimensions under cleft extensions of abelian categories....