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arXiv:2601.19515v1 Announce Type: new Abstract: We consider wave maps from $(1+d)$-dimensional Minkowski space into the $d$-sphere. For every $d \geq 3$, there exists an explicit...
arXiv:2601.19516v1 Announce Type: new Abstract: We study wave maps from $(1+d)$-dimensional Minkowski space into the $d$-sphere without any symmetry assumptions. There exists an explicit self-similar...
arXiv:2601.19537v1 Announce Type: new Abstract: For a permutation $z$ in the symmetric group $\mathrm{S}_{n}$, denote by $L_{z}$ the corresponding simple highest weight module in the...
arXiv:2601.19542v1 Announce Type: new Abstract: This paper presents an axisymmetric Galerkin boundary element method (BEM) for modeling eddy-current interactions between excitation coils and conductive objects....
arXiv:2601.19544v1 Announce Type: new Abstract: We study the global approximate controllability (GAC) of a Klein-Gordon wave equation, posed on the torus $\mathbb{T}^d$ of arbitrary dimension...
arXiv:2601.19546v1 Announce Type: new Abstract: We study the interface of covered and vacant sets in the subcritical phase of a scale-invariant Poisson stick soup on...
arXiv:2601.19547v1 Announce Type: new Abstract: In the figure-eight choreography in the classical three-body problem, both side bifurcation solutions sometimes fold at one side of the...
arXiv:2601.19549v1 Announce Type: new Abstract: Knotoid theory is a generalization of knot theory introduced by Turaev in 2012. In recent years, various invariants of knotoids...
arXiv:2601.19555v1 Announce Type: new Abstract: We prove the $L^p$-boundedness of the strong maximal operator defined on a Heisenberg group w.r.t an absolutely continuous measure satisfying...
arXiv:2601.19558v1 Announce Type: new Abstract: The border apolarity technique was introduced in our earlier work for secant varieties over complex numbers. We extend the theory...
arXiv:2601.19569v1 Announce Type: new Abstract: In this paper we introduce the symmetric normaliser graph of a group $G$. The vertex set of this graph consists...
arXiv:2601.19571v1 Announce Type: new Abstract: Let $p$ and $\ell$ be prime numbers, and $d\ge1$ an integer. We formulate and prove Iwasawa main conjectures of the...
arXiv:2601.19572v1 Announce Type: new Abstract: In 1993, Robert Strichartz established a characterization for bounded eigenfunctions of the Laplacian on $\mathbb{R}^d$. Let $\left\{f_k \right\}_{k\in \mathbb{Z}}$ be...
arXiv:2601.19576v1 Announce Type: new Abstract: In the present paper we study index theory for families of manifold with corners. In particular the K-theoretical obstruction for...
arXiv:2601.19589v1 Announce Type: new Abstract: In this short note, we show that the continuous intrinsic graph Laplace operator with Gaussian kernel on a compact Riemannian...
arXiv:2601.19591v1 Announce Type: new Abstract: We study the $\Gamma$-convergence of sequences of free discontinuity functionals with linear growth defined in the space ${\rm BD}$ of...
arXiv:2601.19592v1 Announce Type: new Abstract: Let $M$ be a monoid (written multiplicatively). Equipped with the operation of setwise multiplication induced by $M$ on its parts,...
arXiv:2601.19596v1 Announce Type: new Abstract: In this paper, we illustrate the effectiveness of reproducing kernel Hilbert space techniques in the study of composition operators. For...
arXiv:2601.19599v1 Announce Type: new Abstract: In this paper we introduce a more general class of Foguel-Hankel operators, where the unilateral shift on $\ell^2(\mathbb{N}) $ is...
arXiv:2601.19601v1 Announce Type: new Abstract: This paper develops a structured framework for the design and dynamic updating of service time windows in delivery and appointment-based...
arXiv:2601.19608v1 Announce Type: new Abstract: Let $(X, \Delta)$ be a log Fano pair with standard coefficients endowed with a singular K\"ahler--Einstein metric. We show that...
arXiv:2601.19614v1 Announce Type: new Abstract: Consider a logarithmically-correlated Gaussian field $X$ in $d$ dimensions. For all $\gamma \in (-\sqrt{2d},\sqrt{2d})$, we show that the derivatives $\frac{\partial^k}{\partial\gamma^k}...
arXiv:2601.19615v1 Announce Type: new Abstract: Generally, multi-objective optimisation problems are solved exactly or approximated by solving a series of scalarisations, for example by dichotomic search....
arXiv:2601.19629v1 Announce Type: new Abstract: Given the integers $0