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arXiv:2601.19455v1 Announce Type: new Abstract: Polylogarithmic functions (polylogs) in $n$ variables can be viewed as elements of $(U\mathfrak{p}_{m})^*$, the dual of the universal enveloping algebra...
arXiv:2601.19456v1 Announce Type: new Abstract: There has been significant recent interest in understanding the dependence on the wavenumber, $k$, of boundary integral operators (BIOs), supported...
arXiv:2601.19459v1 Announce Type: new Abstract: We prove a central limit theorem for a class of H\"older continuous cocycles with an application to stricly convex and...
arXiv:2601.19460v1 Announce Type: new Abstract: Recently Baranyai described a necessary combinatorial characterisation of graph rigidity for dimension 3. In this short note we provide a...
arXiv:2601.19465v1 Announce Type: new Abstract: Sums of powers $S_p(n)=\sum_{k=1}^n k^p$ can be described by Faulhaber's formula in terms of the Bernoulli numbers. The first cases...
arXiv:2601.19471v1 Announce Type: new Abstract: Let $\rho : \Gamma \longrightarrow G$ be a Zariski dense irreducible convex representation of the hyperbolic group $\Gamma$, where G...
arXiv:2601.19478v1 Announce Type: new Abstract: This note is devoted to some nonlocal, nonlinear elliptic problems with an emphasis on the computation of the solution of...
arXiv:2601.19485v1 Announce Type: new Abstract: We show that the Kuperberg invariant of the Weeks manifold with any framing is a gauge invariant of finite-dimensional Hopf...
arXiv:2601.19511v1 Announce Type: new Abstract: This paper assumes a robust stochastic model where a set $\mathcal{P}$ of probability measures replaces the single probability measure of...
arXiv:2601.19512v1 Announce Type: new Abstract: We prove two weak compactness criteria in Musielak-Orlicz spaces for $N$-functions satisfying the $\Delta_2$-condition. They extend criteria from And\^o for...
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...