Stay updated with the latest research and technology news
arXiv:2603.01005v1 Announce Type: new Abstract: A universal word (u-word) for $d$-dimensional permutations of length $n$ is a 2-dimensional word with $d-1$ rows, any size $n$...
arXiv:2603.01018v1 Announce Type: new Abstract: We consider two generalizations of Pollack's uncertainty principle for M\"obius inversion to locally finite posets. The first generalization was previously...
arXiv:2603.01020v1 Announce Type: new Abstract: The dichromatic number of a digraph $D$, denoted by $\vec{\chi}(D)$, is the smallest number of colours required to colour the...
arXiv:2603.01030v1 Announce Type: new Abstract: This paper studies pressure-robustness for the axisymmetric Stokes problem. The transformation to cylindrical coordinates requires that the radially weighted velocity...
arXiv:2603.01039v1 Announce Type: new Abstract: Let $\Delta_{N}$ be the multidimensional discrete Laplacian on $\mathbb{Z}^N$ ($N\ge1$). In this note, we prove that, when $N=1$, the right...
arXiv:2603.01046v1 Announce Type: new Abstract: We compare the usual operator modulus with two symmetrized variants, the arithmetic symmetric modulus and the quadratic symmetric modulus. For...
arXiv:2603.01049v1 Announce Type: new Abstract: In this paper, we consider the recently introduced concept of \emph{function-correcting codes (FCCs) with data protection}, which provide a certain...
arXiv:2603.01065v1 Announce Type: new Abstract: In this paper I classify, up to Cremona transformations, the Galois cover of the plane with Galois group of the...
arXiv:2603.01066v1 Announce Type: new Abstract: This paper introduces the \textit{anisotropic $\omega_0$-capillary $p$-sum} of two hypersurfaces in $\mathbb{R}_+^{n+1}$, and establishes a theory for anisotropic capillary convex...
arXiv:2603.01076v1 Announce Type: new Abstract: This paper investigates the determination of feasible input-output pairings for the decentralized integral controllability of non-square systems. The relevance of...
arXiv:2603.01077v1 Announce Type: new Abstract: We extend the unified kernel framework for transport equations and Koopman eigenfunctions, developed in previous work by the authors for...
arXiv:2603.01078v1 Announce Type: new Abstract: In this paper, we study the existence, non-existence and asymptotic behavior of positive ground states for the nonlinear Choquard equation:...
arXiv:2603.01079v1 Announce Type: new Abstract: Let~$S^{n-1}\rightarrow E \rightarrow M^n$ be an oriented sphere bundle over an oriented closed manifold with amenable fundamental group. We provide...
arXiv:2603.01084v1 Announce Type: new Abstract: We present a kernel-based linear matrix inequality (LMI) approach for solving Hamilton-Jacobi-Bellman (HJB) equations arising in nonlinear optimal control. The...
arXiv:2603.01093v1 Announce Type: new Abstract: This paper proposes an Adaptive-Growth Randomized Neural Network (AG-RaNN) method for computing multivalued solutions of nonlinear first-order PDEs with hyperbolic...
arXiv:2603.01100v1 Announce Type: new Abstract: In this paper, we study a new class of mixed double phase problems that combine local and nonlocal operators. We...
arXiv:2603.01112v1 Announce Type: new Abstract: Motivated by recent study on the number of $t$-hooks in partitions arising from Euler's partition identity, we investigate the number...
arXiv:2603.01114v1 Announce Type: new Abstract: Let $\mathcal{I}$ be an ideal on $\omega$ and $X$ be a topological space. A sequence $(x_n)_{n\in \omega}$ in $X$ is...
arXiv:2603.01127v1 Announce Type: new Abstract: Let $X$ be a compact connected orientable hyperbolic surface and $X_n$ be a degree $n$ random cover. We show that,...
arXiv:2603.01132v1 Announce Type: new Abstract: Krall-type polynomials are orthogonal polynomials for a Stieltjes' measure obtained by adding jumps at the boundary of the interval of...
arXiv:2603.01136v1 Announce Type: new Abstract: In this paper, we address the existence of ground state solutions for Schrodinger equations in the presence of local and...
arXiv:2603.01138v1 Announce Type: new Abstract: Our first main contribution consists in establishing an explicit formula of the critical mass via the best constant of the...
arXiv:2603.01141v1 Announce Type: new Abstract: We present an initial implementation of a probabilistic PDE-constrained shape optimization algorithm. Our method is based on a novel probabilistic...
arXiv:2603.01148v1 Announce Type: new Abstract: In this paper, we aim to study traces of Frobenius of certain one parameter families of elliptic curves and their...