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arXiv:2603.04922v1 Announce Type: new Abstract: The density matrix is a positive semidefinite operator of trace 1 characterizing the state of a quantum system. We consider...
arXiv:2603.04929v1 Announce Type: new Abstract: Let a Lie algebra $\mathfrak q$ be a linear sum of two complementary subalgebras $\mathfrak h$ and $\mathfrak r$. We...
arXiv:2603.04931v1 Announce Type: new Abstract: Chemotaxis systems of Keller--Segel type constitute one of the central mathematical frameworks for understanding aggregation phenomena in biological and ecological...
arXiv:2603.04935v1 Announce Type: new Abstract: We review the nearly complete classification project for finite distance-transitive graphs and compile a list of all known graphs. Interestingly,...
arXiv:2603.04940v1 Announce Type: new Abstract: In recent years, nonconvex minimax problems have attracted significant attention due to their broad applications in machine learning, including generative...
arXiv:2603.04963v1 Announce Type: new Abstract: Let $G^{w}=(V,E,w)$ be a positive-weighted graph with the weight $w(e)>0$ for all $e\in E$. The weighted graph $G^{\widetilde{w}}=(V,E,\widetilde{w})$ is called...
arXiv:2603.04967v1 Announce Type: new Abstract: Let $\Gamma(g)$ be the graph of a continuous function $g:D\subset\mathbb{C}^n\times\mathbb{R}\to\mathbb{R}\times\mathbb{C}^p$ (for $n\geq 1$ and $p\geq 0$). We prove that any...
arXiv:2603.04983v1 Announce Type: new Abstract: Given a compact oriented manifold of dimension $n$ with a conically smooth stratification, we show that the moduli of $\mathcal{D}(k)$-valued...
arXiv:2603.04984v1 Announce Type: new Abstract: We study the time-splitting scheme for approximating solutions to the Cauchy problem of the nonlinear Dirac equation in 1+1 dimensions....
arXiv:2603.04991v1 Announce Type: new Abstract: Belief propagation (BP) decoding of quantum low density parity check (QLDPC) codes is often implemented using overcomplete stabilizer (OS) representations,...
arXiv:2603.04994v1 Announce Type: new Abstract: Robust control of complex engineered and biological systems hinges on the integration of feedforward and feedback mechanisms. This is exemplified...
arXiv:2603.05008v1 Announce Type: new Abstract: We present guidelines for deriving new Nitsche Finite Element Methods to enforce equality and inequality constraints that act on the...
arXiv:2603.05013v1 Announce Type: new Abstract: The Rayleigh expansion is widely used as a formal radiation condition in the analysis and numerical treatment of grating diffraction...
arXiv:2603.05018v1 Announce Type: new Abstract: We compare the structures and methods in the theory of causal fermion systems with generalized trace dynamics and non-commutative geometry....
arXiv:2603.05022v1 Announce Type: new Abstract: The homogeneous second-order descent method (HSODM: Zhang et al. in Mathematics of Operations Research (2025)) was initially proposed for unconstrained...
arXiv:2603.05029v1 Announce Type: new Abstract: We propose a computationally efficient nonlinear Model Predictive Control (NMPC) algorithm for safe, learning-based control. The system model is represented...
arXiv:2603.05038v1 Announce Type: new Abstract: The linearized double shuffle Lie algebra introduced by Brown reflects the depth-graded structure of multiple zeta values. In a previous...
arXiv:2603.05047v1 Announce Type: new Abstract: Let $\mathcal{M}_1(\lambda)$ be the class of all meromorphic functions $f$ in the unit disk $\mathbb{D}=\{z\in\mathbb{C}\}: |z|
arXiv:2603.05050v1 Announce Type: new Abstract: We present an example of a linear partial differential equation whose Cauchy problem becomes well-posed when perturbed by noise. Specifically,...
arXiv:2603.05063v1 Announce Type: new Abstract: We show that the $2$-component unlink in $S^4$ admits infinitely many isotopy classes of spanning $3$-disks that are Brunnian.
arXiv:2603.05076v1 Announce Type: new Abstract: This work investigates the boundary stabilization of flows in star-shaped and tree-shaped networks of open channels governed by the Saint-Venant...
arXiv:2603.05089v1 Announce Type: new Abstract: We develop quantitative error estimates connecting microscopic fluctuation of interacting particle systems with the mobilities of their hydrodynamic limits. Focusing...
arXiv:2603.05098v1 Announce Type: new Abstract: We study dispersive properties of the one-dimensional Schr{\"o}dinger equation with a short-range array of delta interactions. More precisely, we consider...
arXiv:2603.05100v1 Announce Type: new Abstract: The toughness of a graph $G$ is defined as the largest real number $t$ such that for any set $S\subseteq...