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arXiv:2601.21434v1 Announce Type: new Abstract: We present and prove the version of Marstrand's theorem for discrete metric space. We provide explicit estimates of the quotient...
arXiv:2601.21441v1 Announce Type: new Abstract: In this paper, we establish a Liouville type rigidity result for a class of asymptotically hyperbolic non-compact Einstein metrics defined...
arXiv:2601.21442v1 Announce Type: new Abstract: Answering a question of Erd\H{o}s and Graham, we show that the double exponential growth condition $\limsup_{n\to\infty}a_n^{1/\phi^n}=\infty$ for a monotonically increasing...
arXiv:2601.21445v1 Announce Type: new Abstract: There are two objectives to this work: to classify all tame integer tilings and to classify all tame integer hypertilings....
arXiv:2601.21456v1 Announce Type: new Abstract: In this paper we classify low degree del Pezzo orbifolds with irreducible boundaries. In order to achieve desired boundaries, we...
arXiv:2601.21466v1 Announce Type: new Abstract: In this short note we prove that if $I$ is a right radical and quasi prime ideal in the ring...
arXiv:2601.21482v1 Announce Type: new Abstract: Unpredictable sensor-to-estimator delays fundamentally distort what matters for wireless remote state estimation: not just freshness, but how delay interacts with...
arXiv:2601.21486v1 Announce Type: new Abstract: We show that $W^{1,1}(\mathbb{R}^2)$ has the Daugavet property when endowed with the norm induced by the $L^1$-norm of the gradient,...
arXiv:2601.21487v1 Announce Type: new Abstract: Norm-constrained linear minimization oracle (LMO)-based optimizers such as spectral gradient descent and Muon are attractive in large-scale learning, but extending...
arXiv:2601.21489v1 Announce Type: new Abstract: Self-regulating random walks (SRRWs) are decentralized token-passing processes on a graph allowing nodes to locally \emph{fork}, \emph{terminate}, or \emph{pass} tokens...
arXiv:2601.21491v1 Announce Type: new Abstract: We investigate the superintegrability of rigid body rotors coupled to planar systems. In particular, we study the isotropic harmonic oscillator...
arXiv:2601.21496v1 Announce Type: new Abstract: The log-concavity of cluster variables of type $A_n$ and cluster monomials of type $A_2$ was established by Chen-Huang-Sun. It is...
arXiv:2601.21497v1 Announce Type: new Abstract: The spectral analysis of operators in heterogeneous and aging media typically requires a functional framework that extends beyond the standard...
arXiv:2601.21509v1 Announce Type: new Abstract: We quantitatively study the speed of convergence of geodesic Lie groups to their metric limits. For nilpotent geodesic Lie groups,...
arXiv:2601.21514v1 Announce Type: new Abstract: In this paper, we focus on the problem of computing the set of diagonal transversal gates fixing a CSS code....
arXiv:2601.21519v1 Announce Type: new Abstract: Given an elliptic curve over $\mathbb{Q}$ and a nontrivial element $\sigma$ of its Shafarevich--Tate group, we introduce the Visualization category...
arXiv:2601.21535v1 Announce Type: new Abstract: We introduce a simple representation for isotropic spherical random fields and we discuss how it allows to discuss different notions...
arXiv:2601.21539v1 Announce Type: new Abstract: Using Stein's method techniques introduced by Chatterjee (2008) and further extended by Kasprzak and Peccati (2022) and by Lachi\`eze-Rey and...
arXiv:2601.21556v1 Announce Type: new Abstract: In this paper, we introduce the concept of JReject of a class of modules as a generalization of the notion...
arXiv:2601.21559v1 Announce Type: new Abstract: We study a triangulated category $\mathscr S$ that admits a full and strong exceptional sequence of three objects with one-dimensional...
arXiv:2601.21563v1 Announce Type: new Abstract: For an oriented graph $D$, let $N_1^+(v)$ denote the out-neighborhood of a vertex $v$, and let $N_2^+(v)$ be the set...
arXiv:2601.21575v1 Announce Type: new Abstract: A finite non-abelian group $H$ is hamiltonian if all of its subgroups are normal. We compute the minimal orders of...
arXiv:2601.21578v1 Announce Type: new Abstract: This paper studies the enumeration of seven subclasses of level-$2$ phylogenetic networks under various planarity and structural constraints, including terminal...
arXiv:2601.21580v1 Announce Type: new Abstract: Given a connected graph $G$ with at least three vertices, let $d_G(u,v)$ denote the distance between vertices $u,v\in V(G)$. A...