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arXiv:2308.06630v3 Announce Type: replace Abstract: We introduce a family of geometric anisotropic Banach spaces on Heisenberg nilmanifolds and study the spectrum of the composition operator...
arXiv:2308.14127v5 Announce Type: replace Abstract: Shock waves in gas dynamics feature jump discontinuities that hinder numerical simulations. Viscous regularizations are prone to excessive dissipation of...
arXiv:2308.15800v4 Announce Type: replace Abstract: Let $X=H\backslash G$ be a spherical variety over a $p$-adic field. Assume $G$ is split. Let $\widehat{G}$ be the Langlands...
arXiv:2309.09199v3 Announce Type: replace Abstract: The investigation of width parameters in both graph and algebraic contexts has attracted considerable interest. Among these parameters, the linear...
arXiv:2310.03822v4 Announce Type: replace Abstract: This article investigates the properties of Dedekind superrings, invertible supermodules and projective supermodules within the $\mathbb{Z}_2$-graded framework. Rather than treating...
arXiv:2310.05625v4 Announce Type: replace Abstract: The computation of a matrix function $f(A)$ is an important task in scientific computing appearing in machine learning, network analysis...
arXiv:2310.09763v2 Announce Type: replace Abstract: The Traverso-Swan theorem says that a reduced ring A is seminormal if and only if the natural morphism from Pic(A)...
arXiv:2310.11089v2 Announce Type: replace Abstract: We consider normal almost contact structures on a Riemannian manifold and, through their associated sections of an ad-hoc twistor bundle,...
arXiv:2310.13035v3 Announce Type: replace Abstract: The Collatz hypothesis is a theorem of the algorithmic theory of natural numbers. We prove the (algorithmic) formula that expresses...
arXiv:2310.14302v4 Announce Type: replace Abstract: We compute the Hilbert series of the coordinate ring of some highest weight varieties. We also explain why Narayana numbers...
arXiv:2310.15652v3 Announce Type: replace Abstract: Let $X$ be a compact connected Riemann surface of genus $g \geq 2$ and $G$ a connected reductive affine algebraic...
arXiv:2311.14036v2 Announce Type: replace Abstract: We prove the fibred Farrell--Jones Conjecture (FJC) in $A$-, $K$-, and $L$-theory for a large class of suspensions of relatively...
arXiv:2401.00537v3 Announce Type: replace Abstract: We prove that the set of anisotropic quadratic forms over global fields of characteristic different from 2 is a diophantine...
arXiv:2401.16081v3 Announce Type: replace Abstract: Let $X$ be a smooth projective curve of genus $g \geq 3$, and let $G$ be a nontrivial connected reductive...
arXiv:2401.17961v4 Announce Type: replace Abstract: An established and growing literature on generalized fiducial inference and related fiducial ideas points to the adoption of fiducial inference...
arXiv:2402.10018v5 Announce Type: replace Abstract: In this paper, we propose an efficient two-stage decoding algorithm for non-adaptive Group Testing (GT) with general correlated prior statistics....
arXiv:2402.17198v2 Announce Type: replace Abstract: We apply the method of multiple Dirichlet series to develop $L$-functions ratios conjecture with one shift in both the numerator...
arXiv:2402.18042v3 Announce Type: replace Abstract: Let $n\geq 0$ and $r>0$ be integers. Let $\mathcal{O}_{X, x}^{h}$ be the henselization of the local ring $\mathcal{O}_{X, x}$ of...
arXiv:2403.04262v3 Announce Type: replace Abstract: This paper proposes and develops new Newton-type methods to solve structured nonconvex and nonsmooth optimization problems with justifying their fast...
arXiv:2403.06449v2 Announce Type: replace Abstract: In this paper, we revisit the problem of finite-time blowup for a multi-dimensional nonlocal transport equation studied in [Dong, Adv....
arXiv:2403.17829v2 Announce Type: replace Abstract: We discover a non-trivial relation between the mock modular generating functions of the level $1$ and level $N$ Hurwitz class...
arXiv:2403.19732v3 Announce Type: replace Abstract: We define the universal exponential extension of an algebraically closed differential field and investigate its properties in the presence of...
arXiv:2404.05983v2 Announce Type: replace Abstract: Covert communication's effectiveness critically depends on precise channel state information (CSI). This paper investigates the impact of imperfect CSI on...
arXiv:2405.00081v5 Announce Type: replace Abstract: We introduce the concept of an imprecise Markov semigroup \(\mathbf Q\). It is a tool that allows us to represent...