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arXiv:2603.03381v1 Announce Type: new Abstract: Qin established the geometric realization of entire quantum groups via perverse sheaves, which further give rise to dual canonical bases...
arXiv:2603.03382v1 Announce Type: new Abstract: We investigate the singularities of two-ruled hypersurfaces in the Euclidean four-space. By considering the points that minimize the distance between...
arXiv:2603.03386v1 Announce Type: new Abstract: This paper provides the first algebraic characterization of an algebra of cohomological Hecke operators associated with modifications of coherent sheaves...
arXiv:2603.03395v1 Announce Type: new Abstract: We introduce a concept of asymptotic mean of digits (symbols) in the $Q_s$--representation of a real number, that is a...
arXiv:2603.03396v1 Announce Type: new Abstract: We study topological, metric and fractal properties of set of numbers $[0;1]$ with given asymptotic mean of digits in their...
arXiv:2603.03399v1 Announce Type: new Abstract: In the paper we describe some properties of function $$ y=r(x)=\lim_{n\to\infty}\frac{1}{n}\sum^{\infty}_{k=1}\alpha_k(x), \text{ where } x=\sum^{\infty}_{k=1}\alpha_k(x)4^{-k} $$ of $4-$adic digits asymptotic...
arXiv:2603.03413v1 Announce Type: new Abstract: These notes are an expanded version of the lectures held in Tromso, in May 2025 at the "Lie-Stormer Summer School...
arXiv:2603.03425v1 Announce Type: new Abstract: The cosmohedron was recently proposed as a polytope underlying the cosmological wavefunction for $\text{Tr}(\Phi^3)$ theory.Its faces were conjectured to be...
arXiv:2603.03472v1 Announce Type: new Abstract: We study three natural properties that measure the robustness of asymptotic bases of order 2: having divergent representation function, being...
arXiv:2603.03474v1 Announce Type: new Abstract: Partially ordered patterns (POPs) play an important role in the study of permutation patterns, providing a convenient framework for describing...
arXiv:2603.03481v1 Announce Type: new Abstract: In the paper, we prove the existence of radial solutions to \begin{equation}\notag%\label{main-eq-abstarct} %\begin{aligned} -\Delta_p u+({\rm sgn}(p-s)+V(x))|u|^{p-2}u+\lambda |u|^{s-2}u=|u|^{q-2}u\qquad\text{in}\,\R^N \\ %\int_{\R^N}|u|^sdx&=\rho^s...
arXiv:2603.03487v1 Announce Type: new Abstract: A hybrid framework is developed that highlights and unifies the most important aspects of the Noether correspondence between symmetries and...
arXiv:2603.03498v1 Announce Type: new Abstract: We present a structure-aware parallel presolve framework specialized to arrowhead linear programs (AHLPs) and designed for high-performance computing (HPC) environments,...
arXiv:2603.03516v1 Announce Type: new Abstract: We consider nonconvex real valued functions whose truncations are either quasiconvex or even convex starting with a certain level. Among...
arXiv:2603.03518v1 Announce Type: new Abstract: Let $T_P$ be the theory of beautiful pairs of algebraically closed fields of fixed characteristic. It is known that for...
arXiv:2603.03533v1 Announce Type: new Abstract: We undertake a detailed analysis of a reaction-advection-diffusion (RAD) equation from the viewpoint of pulse-response studies, with particular attention to...
arXiv:2603.03548v1 Announce Type: new Abstract: The classical model of a star is the Lane-Emden star with dynamics governed by the Euler-Poisson equations. We consider the...
arXiv:2603.03549v1 Announce Type: new Abstract: We study the problem of extending any order-preserving Lipschitz function that maps a subset of a partially ordered Hilbert space...
arXiv:2603.03562v1 Announce Type: new Abstract: We consider the local kinematics at fluid interfaces in two-phase flows within the sharp interface framework. In the considered case...
arXiv:2603.03567v1 Announce Type: new Abstract: We prove a ''dimension expansion'' version of the Elekes-R\'onyai theorem for trivariate real analytic functions: If $f$ is a trivariate...
arXiv:2603.03588v1 Announce Type: new Abstract: We introduce birational strong complete regularity and strong complete regularity, two numerical invariants for pairs of (relative) Fano type. They...
arXiv:2603.03594v1 Announce Type: new Abstract: Centered weighted composition operators on $L^2$-spaces are characterized. The characterization is obtained without the assumption that the operator is a...
arXiv:2603.03601v1 Announce Type: new Abstract: We consider isomorphism of controllable graphs and cospectrality of distance-regularized graphs (which are known to be distance-regular or distance-biregular) in...
arXiv:2603.03622v1 Announce Type: new Abstract: This is a technical note which extends the results of Kosygina, Mountford and Peterson (Ann. Probab., 51(5):1684-1728, 2023, Section 4)...