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arXiv:2601.18928v1 Announce Type: new Abstract: In this paper we compute the center and, in several cases, central subalgebras of double Ore extensions of type (14641)...
arXiv:2601.18931v1 Announce Type: new Abstract: In this paper, we study the Ricci flow on CP1-bundles over a product of K\"ahler-Einstein manifolds whose initial metric is...
arXiv:2601.18935v1 Announce Type: new Abstract: The Ewens-Pitman model defines a distribution on random partitions of $\{1,\ldots,n\}$, with parameters $\alpha \in [0,1)$ and $\theta > -\alpha$;...
arXiv:2601.18942v1 Announce Type: new Abstract: Air traffic operations are strongly influenced by convective weather, and one common response is pathfinder operations, in which a designated...
arXiv:2601.18947v1 Announce Type: new Abstract: Strong Stability Preserving (SSP) time integration schemes maintain stability of the forward Euler method for any initial value problem. However,...
arXiv:2601.18951v1 Announce Type: new Abstract: In this paper, we consider the problem of counting almost empty monochromatic triangles in colored planar point sets, that is,...
arXiv:2601.18964v1 Announce Type: new Abstract: If a quantum walk starting on a vertex tends to stay at home, then that vertex is said to be...
arXiv:2601.18969v1 Announce Type: new Abstract: In this paper, we consider control constrained $L^2-$Dirichlet boundary control of a convection-diffusion equation on a two dimensional convex polygonal...
arXiv:2601.18977v1 Announce Type: new Abstract: Let $A$ be an $n\times n$ real Toeplitz matrix satisfying $A+A^{\top}=2\mathbb J_n$, where $\mathbb J_n$ is the all-ones matrix.If $A_r(i,j)$...
arXiv:2601.18978v1 Announce Type: new Abstract: For many common height functions, the explicit determination of the essential minimum is an open problem. We consider a classical...
arXiv:2601.18982v1 Announce Type: new Abstract: We construct $(P_2)$-closed groups acting on $T_3$ in which all edge inversions have infinite order. This provides a negative answer...
arXiv:2601.18985v1 Announce Type: new Abstract: Across many scientific domains, practitioners rely on coarse, discretized summaries to track the evolving structure of complex systems under noise,...
arXiv:2601.18990v1 Announce Type: new Abstract: We present an algorithm to enumerate isometry classes of integral quadratic lattices of a given rank and determinant, and analyze...
arXiv:2601.18994v1 Announce Type: new Abstract: We prove a formula for the asymptotic number of edge-colored regular graphs with a prescribed set of allowed vertex-incidence structures....
arXiv:2601.19003v1 Announce Type: new Abstract: In convex geometry, the Shapley-Folkman Lemma asserts that the nonconvexity of a Minkowski sum of $n$ dimensional bounded nonconvex sets...
arXiv:2601.19009v1 Announce Type: new Abstract: We introduce a multi-windowed graph Fourier transform (MWGFT) for the joint vertex-frequency analysis of signals defined on graphs. Building on...
arXiv:2601.19012v1 Announce Type: new Abstract: This paper studies approximation properties of linear sampling operators in general Banach lattices $X$. We obtain matching direct and inverse...
arXiv:2601.19013v1 Announce Type: new Abstract: This work proposes A$^2$GD, a novel adaptive accelerated gradient descent method for convex and composite optimization. Smoothness and convexity constants...
arXiv:2601.19020v1 Announce Type: new Abstract: This paper presents an adaptive numerical framework for solving exterior "sound-soft" scattering problems governed by the Helmholtz equation. By interpreting...
arXiv:2601.19023v1 Announce Type: new Abstract: Finding the stochastic equilibria for finite-state stochastic matrices amounts to solving an eigen\-vector problem $\pi = \pi P$. Various techniques...
arXiv:2601.19024v1 Announce Type: new Abstract: We establish a general version of the strong KPZ universality conjecture near the axis for random walks in a random...
arXiv:2601.19031v1 Announce Type: new Abstract: We develop an exact operator formulation for the dynamic interaction between a finite circular elastic plate and an elastic half-space....
arXiv:2601.19032v1 Announce Type: new Abstract: We study the frequency function (introduced by Temur) in both the discrete and continuous settings. More precisely, we extend the...
arXiv:2601.19038v1 Announce Type: new Abstract: Mirror descent uses the mirror function to encode geometry and constraints, improving convergence while preserving feasibility. Accelerated Mirror Descent Methods...