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arXiv:2508.13850v3 Announce Type: replace Abstract: We study the cone of non-negative polynomials on generalized elliptic curves. We show that the zero set of every extreme...
arXiv:2508.15209v2 Announce Type: replace Abstract: The spatial Kepler problem with a perturbation satisfying the rotational symmetry w.r.t. the $z$-axis and the reflection symmetry w.r.t. the...
arXiv:2508.19302v3 Announce Type: replace Abstract: In this short note it is shown that every graph of diameter 2 and minimum degree at least 3 contains...
arXiv:2508.20283v2 Announce Type: replace Abstract: The focus of this article is on metric completions of triangulated categories arising in the representation theory of hereditary finite...
arXiv:2509.00860v2 Announce Type: replace Abstract: We investigate geometric invariants of cuspidal edges on focal surfaces of regular surface. In particular, we shall clarify the sign...
arXiv:2509.04068v3 Announce Type: replace Abstract: Jordan schemes generalize association schemes in a similar way as Jordan algebras generalize the associative ones. It is well-known that...
arXiv:2509.05210v2 Announce Type: replace Abstract: We compute the maximal ratio of the algebraic intersection of two closed curves on two families of translation surfaces with...
arXiv:2509.05823v3 Announce Type: replace Abstract: Motivated by Tweedie's formula for the Compound Decision problem, we examine the theoretical foundations of empirical Bayes estimators that directly...
arXiv:2509.10774v2 Announce Type: replace Abstract: The purpose of this article is twofold. First, we prove that the squeezing function approaches 1 near strongly pseudoconvex boundary...
arXiv:2509.24600v3 Announce Type: replace Abstract: We derive exact values and new bounds for the Shannon capacity of two families of graphs: the $q$-Kneser graphs and...
arXiv:2509.26485v2 Announce Type: replace Abstract: We consider an inverse spectral problem for radial Schr\"odinger operators with singular potentials. First, we show that the knowledge of...
arXiv:2510.10505v2 Announce Type: replace Abstract: In this paper, we propose \textit{general Chen's first inequality} for Riemannian maps between Riemannian manifolds and manifest its equality and...
arXiv:2510.20648v2 Announce Type: replace Abstract: We first give a geometric construction of a 2-dimensional mixed motive over $\mathbb{Q}$ with the Catalan constant $\mathbf{G}=1-1/3^2+1/5^2-1/7^2+\cdots$ as a...
arXiv:2510.20717v2 Announce Type: replace Abstract: Many scientific applications involve testing theories that are only partially specified. This task often amounts to testing the goodness-of-fit of...
arXiv:2510.22544v2 Announce Type: replace Abstract: The present paper is devoted to existence results for time-periodic solutions of generalized nonlinear wave equations in a closed Riemannian...
arXiv:2511.02774v2 Announce Type: replace Abstract: In 1990, Baker and Montgomery conjectured that $L'(s,\chi_d)$ has $\asymp \log\log |d|$ real zeros in the interval $[1/2,1]$ for almost...
arXiv:2511.04978v2 Announce Type: replace Abstract: For an integer $r\geqslant 3$, a hypergraph on vertex set $[n]$ is $r$-uniform if each edge is a set of...
arXiv:2511.07184v2 Announce Type: replace Abstract: We extend the matrix representation of magnetic pseudo-differential operators in a tight Gabor frame from [arXiv:1804.05220, arXiv:2212.12229] to asymmetrical quantizations...
arXiv:2511.13851v2 Announce Type: replace Abstract: We study long-time dynamics of the damped focusing cubic Klein-Gordon equation on a compact three-dimensional Riemannian manifold, together with its...
arXiv:2511.16522v2 Announce Type: replace Abstract: It was conjectured by Eells that the only harmonic maps $f : S^3 \to S^2$ are Hopf fibrations composed with...
arXiv:2512.02305v2 Announce Type: replace Abstract: This note proves orbifold versions of Kobayashi's theorem. The main result asserts that a compact K\"ahler orbifold with non-negative Ricci...
arXiv:2512.19094v2 Announce Type: replace Abstract: To meet the high-speed, low-latency, and low-complexity demand for optical interconnects, simplified maximum likelihood sequence estimation (MLSE) is proposed in...
arXiv:2601.00182v2 Announce Type: replace Abstract: We introduce a one-parameter family of intermediate topological pressures for nonautonomous dynamical systems which interpolate between the Pesin-Pitskel topological pressure...
arXiv:2601.00528v3 Announce Type: replace Abstract: We use topological methods to study complexity of deep computations and limit computations. We use topology of function spaces, specifically,...