Stay updated with the latest research and technology news
arXiv:2310.10877v2 Announce Type: replace Abstract: The k-systole of a Riemannian manifold is the infimum of the volume over all homologically non-trivial k-cycles. In this paper...
arXiv:2401.16312v5 Announce Type: replace Abstract: Approximate degradability provides a powerful framework for bounding the quantum and private capacities of noisy quantum channels in regimes where...
arXiv:2402.03113v2 Announce Type: replace Abstract: We consider the problem of optimising the expected value of a loss functional over a nonlinear model class of functions,...
arXiv:2403.08751v4 Announce Type: replace Abstract: We present three new, practical algorithms for polynomials in $\mathbb{Z}[x]$: one to test if a polynomial is cyclotomic, one to...
arXiv:2405.07859v2 Announce Type: replace Abstract: Let $G$ be a locally compact, Hausdorff, second countable groupoid and $A$ be a separable, $C_0(G^{(0)})$-nuclear, $G$-$C^*$-algebra. We prove the...
arXiv:2405.12763v2 Announce Type: replace Abstract: Given a graded-commutative ring acting centrally on a triangulated category, our main result shows that if cohomology of a pair...
arXiv:2405.20148v2 Announce Type: replace Abstract: One way to uniquely define Schramm-Loewner Evolution (SLE) in multiply connected domains is to use the restriction property. This gives...
arXiv:2407.00694v4 Announce Type: replace Abstract: We consider the problem of enumerating all minimal transversals (also called minimal hitting sets) of a hypergraph $\mathcal{H}$. An equivalent...
arXiv:2408.01523v2 Announce Type: replace Abstract: This work proposes a unified theory of regularity in one hypercomplex variable: the theory of $T$-regular functions. In the special...
arXiv:2408.08831v3 Announce Type: replace Abstract: We rigorously derive a homogenized model for the Poisson--Nernst--Planck (PNP) equations for the case of multiple species defined on a...
arXiv:2408.12488v2 Announce Type: replace Abstract: The Lannes-Quillen theorem relates the mod-$p$ cohomology of a finite group $G$ with the mod-$p$ cohomology of centralizers of abelian...
arXiv:2409.09494v2 Announce Type: replace Abstract: Partial difference operators for a large class of functors between presheaf categories are introduced, extending our difference operator from \cite{Par24}...
arXiv:2409.11231v3 Announce Type: replace Abstract: We study positively closed and strongly positively closed topos-valued models of coherent theories. Positively closed is a global notion (it...
arXiv:2409.17910v3 Announce Type: replace Abstract: It is shown that the nonparametric maximum likelihood estimator of a univariate log-concave probability density satisfies desirable consistency properties in...
arXiv:2409.19805v2 Announce Type: replace Abstract: We show that the extension map \[ \mathcal{E}_{NS}(f)(z)=\frac{f(x+y)+f(x-y)}{2}+i\frac{f(x+y)-f(x-y)}{2}\mbox{ for all }z=x+iy\in\mathbb{H}\,, \] defined by Norton and Sullivan in '96, is...
arXiv:2410.13682v2 Announce Type: replace Abstract: We prove a Large Deviation Principle for {\color{blue} jump-Markov } Processes on sparse large disordered network with disordered connectivity. The...
arXiv:2410.13695v3 Announce Type: replace Abstract: Since K\H{o}v\'ari, S\'os, and Tur\'an proved upper bounds for the Zarankiewicz problem in 1954, much work has been undertaken to...
arXiv:2410.15982v3 Announce Type: replace Abstract: Sparse Discrete Empirical Interpolation Method (S-DEIM) was recently proposed for state estimation in dynamical systems when only a sparse subset...
arXiv:2410.20316v2 Announce Type: replace Abstract: For an affine algebraic variety, we introduce algebraic Gelfand-Fuks cohomology of polynomial vector fields with coefficients in differentiable $AV$-modules. Its...
arXiv:2410.22009v3 Announce Type: replace Abstract: This paper addresses the problem of uniqueness in learning physical laws for systems of partial differential equations (PDEs). Contrary to...
arXiv:2410.22880v3 Announce Type: replace Abstract: The definition of generalized random processes in Gel'fand sense allows to extend well-known stochastic models, such as the fractional Brownian...
arXiv:2411.02932v2 Announce Type: replace Abstract: We prove a linear upper bound on the Morse index of closed constant mean curvature (CMC) surfaces in orientable three-manifolds...
arXiv:2411.19089v2 Announce Type: replace Abstract: We consider a setting in which an evolving surface is implicitly characterized as the zero level of a level set...
arXiv:2501.14108v2 Announce Type: replace Abstract: In this paper, we finally prove the well-posedness of the linearized R13 moment model, which describes, e.g., rarefied gas flows....