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arXiv:2508.20342v2 Announce Type: replace Abstract: In [J. Class. Anal., vol. 26 (1) (2025), 63-76], we proved that the discrete Riesz potential $I_{\alpha}$ is a bounded...
arXiv:2509.02215v3 Announce Type: replace Abstract: We investigate the time-asymptotic stability of solutions to the one-dimensional Navier-Stokes-Fourier system in the half-space, focusing on the outflow and...
arXiv:2509.02263v3 Announce Type: replace Abstract: Motivated by the classical theory of spin structures, we develop a theory for lifting free C$^*$-dynamical systems, a.k.a. noncommutative principal...
arXiv:2509.02529v2 Announce Type: replace Abstract: Bochner's theorem characterizes positive definite functions on groups through the positivity of their Fourier transforms and plays a fundamental role...
arXiv:2509.03371v2 Announce Type: replace Abstract: We establish a DK-equivalence between the relative category of $\pi$-tribes and the relative category of locally cartesian closed quasicategories. From...
arXiv:2509.03971v2 Announce Type: replace Abstract: We establish a general framework to study the rate of convergence of a Euler type approximation scheme with decreasing time...
arXiv:2509.04158v2 Announce Type: replace Abstract: The complete solution of the bispectral problem for the Schr\"odinger operator $L=-\tfrac{d^2}{dx^2}+V(x)$ in [DG] (J. J. Duistermaat and F. A....
arXiv:2509.04778v2 Announce Type: replace Abstract: It is difficult or infeasible to directly measure how much of a drug actually enters the human brain and a...
arXiv:2509.06866v2 Announce Type: replace Abstract: In this paper, we establish the non-uniqueness of solutions to the ideal magnetohydrodynamics equations in any dimension greater than three...
arXiv:2509.10473v4 Announce Type: replace Abstract: We develop a domination density framework for studying Vizings conjecture gamma(G square H) ge gamma(G)gamma(H). Recasting the conjecture in multiplicative...
arXiv:2509.14134v2 Announce Type: replace Abstract: Using the explicit formula of P. G\'erard, we characterize the zero-dispersion limit for solutions of the Benjamin--Ono equation on the...
arXiv:2510.00712v2 Announce Type: replace Abstract: In this paper, we introduce and study a novel graph parameter called the $k$-defect number, denoted $\phi_{k}(G)$, for a graph...
arXiv:2510.04433v2 Announce Type: replace Abstract: Abstract differential-algebraic equations (ADAEs) of a semilinear type are studied. Theorems on the existence and uniqueness of solutions and the...
arXiv:2510.08823v2 Announce Type: replace Abstract: We compute Fourier transforms of functions expressed as a ratio of one of the Jacobi elliptic functions divided by $\sinh(\pi...
arXiv:2510.09788v2 Announce Type: replace Abstract: In this article, we prove the $p$-adic Kazhdan-Lusztig hypothesis for $\mathrm{GL}_n(F)$. While the approach via graded affine Hecke algebras due...
arXiv:2510.10683v2 Announce Type: replace Abstract: Holding a shell in their hands, one can apply six loads: three by pulling and shearing, and three by bending...
arXiv:2510.11624v2 Announce Type: replace Abstract: Semitoric systems are a special type of 4-dimensional integrable system where one of the functions is the moment map of...
arXiv:2510.12004v2 Announce Type: replace Abstract: Due to the chaotic nature of turbulence, statistical quantities are often more informative than pointwise characterizations. In this work, we...
arXiv:2510.13687v2 Announce Type: replace Abstract: Assume $k$ is a field and $R$ is a smooth $k$-algebra of dimension $d$. If $P$ is a projective module...
arXiv:2510.14180v2 Announce Type: replace Abstract: Let $G$ be a two-step nilpotent Lie group, identified via the exponential map with the Lie-algebra $\mathfrak g=\mathfrak g_1\oplus\mathfrak g_2$,...
arXiv:2510.17300v2 Announce Type: replace Abstract: In this paper we present an explicit counterexample of degree $n=7$, which shows that the conjecture proposed by Li et...
arXiv:2510.19165v2 Announce Type: replace Abstract: Zeroth-order optimization (ZO) has been a powerful framework for solving black-box problems, which estimates gradients using zeroth-order data to update...
arXiv:2510.21383v2 Announce Type: replace Abstract: We prove twisted homological stability for handlebody mapping class groups. Using the categorical framework developed by Randal-Williams and Wahl, we...
arXiv:2510.22433v2 Announce Type: replace Abstract: It is proved that the roots of the derivative of a polynomial with quaternionic coefficients belong to the union of...