Stay updated with the latest research and technology news
arXiv:2502.06202v2 Announce Type: replace Abstract: The discrepancy of a point set quantifies how well the points are distributed, with low-discrepancy point sets demonstrating exceptional uniform...
arXiv:2502.15584v3 Announce Type: replace Abstract: We study variable selection (also called support recovery) in high-dimensional sparse linear regression when one has external information on which...
arXiv:2503.00773v3 Announce Type: replace Abstract: This paper describes the $K$-theory structure for three algebra classes. For cyclic $p$-group rings and truncated polynomial rings over $\mathbb{Z}/p^s\mathbb{Z}$,...
arXiv:2503.04048v2 Announce Type: replace Abstract: The gravity-capillary problem with inclined walls is a problem that describes an open fluid flowing over an angled wall. It...
arXiv:2503.06758v2 Announce Type: replace Abstract: Using a variation of Woodin's $\mathbb{P}_{\mathrm{max}}$ forcing, we force over a model of the Axiom of Determinacy to produce a...
arXiv:2503.18561v3 Announce Type: replace Abstract: One of the most ubiquitous problems in optimization is that of finding all the elements of a finite set at...
arXiv:2503.20669v4 Announce Type: replace Abstract: We give an alternative proof of the Kulikov-Persson-Pinkham Theorem for a proper K\"ahler degeneration of K-trivial smooth surfaces. After running...
arXiv:2504.00281v2 Announce Type: replace Abstract: Using Real Seiberg--Witten theory, Miyazawa introduced an invariant of certain 4-manifolds with involution and used this invariant to construct infinitely...
arXiv:2504.10740v2 Announce Type: replace Abstract: This paper investigates the local boundedness of weak solutions to a direction-dependent double-phase nonlocal elliptic equation. By employing refined energy...
arXiv:2504.13363v3 Announce Type: replace Abstract: Integrating sensing and communication (ISAC) can help overcome the challenges of limited spectrum and expensive hardware, leading to improved energy...
arXiv:2505.02265v2 Announce Type: replace Abstract: Racinet's double shuffle Lie algebra $\mathfrak{dmr}_0$ is a Lie subalgebra of the Lie algebra $\mathfrak{tder}$ of tangential derivations of the...
arXiv:2505.04515v2 Announce Type: replace Abstract: We show that the nonlinear Schr\"odinger equation on the Sierpinski gasket with a power nonlinearity of order $2k{+}1$ is not...
arXiv:2505.05655v2 Announce Type: replace Abstract: We construct and analyze a projection-free linearly implicit method for the approximation of flows of harmonic maps into spheres. The...
arXiv:2505.11203v3 Announce Type: replace Abstract: We study homotopy properties of regular mappings from spheres into a real retract rational variety $Y$. We show that the...
arXiv:2506.05585v2 Announce Type: replace Abstract: We construct motivic power operations on the mod-$p$ motivic cohomology of $\Fb_p$-schemes using a motivic refinement of Nizio{\l}'s theorem. The...
arXiv:2506.05747v2 Announce Type: replace Abstract: This paper proposes an asymmetric perturbation technique for solving bilinear saddle-point optimization problems, commonly arising in minimax problems, game theory,...
arXiv:2506.07516v4 Announce Type: replace Abstract: In this note, we use isothermic coordinate systems to explore global properties of space-like surfaces with constant mean curvature in...
arXiv:2506.09857v3 Announce Type: replace Abstract: Let $Y$ be a compact Gorenstein analytic space with only isolated singularities and trivial dualizing sheaf. A recent paper of...
arXiv:2506.14462v2 Announce Type: replace Abstract: We study a Cahn-Hilliard model for phase separation in composite materials with multiple periodic microstructures. These are modeled by considering...
arXiv:2506.16259v2 Announce Type: replace Abstract: We study a generalisation of the one-dimensional Rademacher random walk introduced in Bhattacharya and Volkov (2023) to $\mathbb{Z}^2$ (for $d\ge...
arXiv:2506.18913v2 Announce Type: replace Abstract: Let $\{\tau_j\}_{j=1}^n$ and $\{\omega_k\}_{k=1}^n$ be two orthonormal bases for a finite dimensional p-adic Hilbert space $\mathcal{X}$. Let $M,N\subseteq \{1, \dots,...
arXiv:2506.23890v3 Announce Type: replace Abstract: We revisit the notion of equations describing pseudospherical surfaces, starting from the works by Sasaki, whose roots were influenced by...
arXiv:2507.01144v3 Announce Type: replace Abstract: In this paper, we establish the law of the iterated logarithm for a wide class of non-stationary, continuous-time Markov processes...
arXiv:2507.02783v2 Announce Type: replace Abstract: Efficient simulation of the semiclassical Schr\"odinger equation has garnered significant attention in the numerical analysis community. While controlling the error...