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arXiv:2503.24086v3 Announce Type: replace Abstract: This paper introduces a novel distributed optimization framework for large-scale AC Optimal Power Flow (OPF) problems, offering both theoretical convergence...
arXiv:2504.11943v2 Announce Type: replace Abstract: Functional digraphs are unlabelled finite digraphs where each vertex has exactly one out-neighbor. They are isomorphic classes of finite discrete-time...
arXiv:2504.18494v4 Announce Type: replace Abstract: We develop a framework that systematically casts solvability and uniqueness conditions of linearized geometric boundary-value problems in cohomological terms. The...
arXiv:2504.19677v2 Announce Type: replace Abstract: In multi-objective optimization, computing the entire non-dominated set (also known as the Pareto front or the Pareto frontier) is often...
arXiv:2505.04377v3 Announce Type: replace Abstract: We consider a diffusion equation in $\mathbb{R}^d$ with drift equal to the gradient of a homogeneous potential of degree $1+\gamma$,...
arXiv:2505.04513v2 Announce Type: replace Abstract: We show that a small Seifert fibered space with complementary legs does not symplectically bound a rational homology ball for...
arXiv:2505.08710v2 Announce Type: replace Abstract: We introduce an axiomatization of the notion of ( $p$-complete) anticyclotomic Euler system for a wide class of Galois representations,...
arXiv:2505.21030v2 Announce Type: replace Abstract: Let $R$ be a ring, $\sigma:R\to R$ a ring endomorphism, and $\delta:R\to R$ a $\sigma$-derivation. We establish that the Ore...
arXiv:2505.22423v2 Announce Type: replace Abstract: We derive so-called weak and strong \textit{max-laws of large numbers} for $% \max_{1\leq i\leq k_{n}}|1/n\sum_{t=1}^{n}x_{i,n,t}|$ for zero mean stochastic triangular...
arXiv:2506.09267v2 Announce Type: replace Abstract: The problem of estimating the slope parameter in regression between two spatial processes under confounding by an unmeasured spatial process...
arXiv:2507.00910v2 Announce Type: replace Abstract: We establish a scaling-invariant variational framework for steadily translating dipoles of the two-dimensional incompressible Euler equations. Specifically, we consider the...
arXiv:2507.03126v2 Announce Type: replace Abstract: In this paper, we propose a method for computing eigenvalues of elliptic problems using Deep Learning techniques. A key feature...
arXiv:2507.03881v2 Announce Type: replace Abstract: This paper focuses on the regularity of the Navier-Stokes equations in critical space. Let $ u(x,t) $ and $ p(x,t)...
arXiv:2507.11685v4 Announce Type: replace Abstract: Relations and interactions between the theorems of Ash, Herwig--Lascar and Ribes--Zalesskii are discussed and it is shown that these three...
arXiv:2507.18686v2 Announce Type: replace Abstract: We settle a conjecture by Bik and Marigliano stating that the degree of a one-dimensional discrete model with rational maximum...
arXiv:2508.00944v2 Announce Type: replace Abstract: Nearly linear recurrences are a generalisation of linear recurrences and are instances of linear time-invariant systems in control theory and...
arXiv:2508.07892v3 Announce Type: replace Abstract: If $\mathcal{L}$ is an abstract logic (a.k.a. model theoretic logic), we can define the inner model $C(\mathcal{L})$ by replacing first...
arXiv:2508.11560v2 Announce Type: replace Abstract: Persistent topological Laplacians are operators that provide persistent Betti numbers and additional multiscale geometric information through the eigenvalues of the...
arXiv:2508.14400v2 Announce Type: replace Abstract: We consider the problem of Gaussian multiplier bootstrap procedures for the $k$th largest statistics and functions of the top $k$...
arXiv:2508.16322v2 Announce Type: replace Abstract: This article is concerned with the metric study of a construction of G\'erardin of the action of the boundary at...
arXiv:2508.16892v3 Announce Type: replace Abstract: We investigate the continuous function $f$ defined by $$x\mapsto \sum_{\sigma\le_L x }2^{-K(\sigma)}$$ as a variant of Chaitin's Omega from the...
arXiv:2508.20629v2 Announce Type: replace Abstract: We propose a way to organise the subject of ``higher-order homological stability'', in the context of a graded $E_2$-algebra $\mathbf{R}$,...
arXiv:2509.02907v4 Announce Type: replace Abstract: The long-time asymptotics of small Kadomtsev-Petviashvili II (KPII) solutions is derived using the inverse scattering theory and the stationary phase...
arXiv:2509.05810v4 Announce Type: replace Abstract: Katz and Sarnak conjectured that the behavior of zeros near the central point of any family of $L$-functions is well-modeled...