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arXiv:2409.03576v3 Announce Type: replace Abstract: This article is a continuation of our recent work (Yin Chen and Runxuan Zhang, Shape enumerators of self-dual NRT codes...
arXiv:2409.11841v2 Announce Type: replace Abstract: Super-tree random measures (STRMs) were introduced by Allouba, Durrett, Hawkes and Perkins as a simple stochastic model which emulates a...
arXiv:2409.12826v5 Announce Type: replace Abstract: In this paper we construct a new family of sets based on Diophantine approximation in the Euclidean space, and consider...
arXiv:2409.19555v4 Announce Type: replace Abstract: Given a crepant contraction f to a singularity X, we may expect a derived symmetry of the source of f....
arXiv:2410.08933v2 Announce Type: replace Abstract: Solid abelian groups, as introduced by Dustin Clausen and Peter Scholze, form a subcategory of all condensed abelian groups satisfying...
arXiv:2410.09180v2 Announce Type: replace Abstract: The Elo rating system is a popular and widely adopted method for measuring the relative skill levels of players or...
arXiv:2410.22991v2 Announce Type: replace Abstract: We summarise three applications of the obstacle problem to membrane contact, elastoplastic torsion and cavitation modelling, and show how the...
arXiv:2411.02707v2 Announce Type: replace Abstract: In this paper, we study the quantum channel on a von Neuamnn algebra $\mathcal{M}$ preserving a von Neumann subalgebra $\mathcal{N}$,...
arXiv:2411.03091v2 Announce Type: replace Abstract: Let $\mathrm{Mp}(2n)$ be the metaplectic group of rank $n$ over a local field $F$ of characteristic zero. In this note,...
arXiv:2411.03283v3 Announce Type: replace Abstract: We develop algorithms to compute two versions of the motivic Hilbert zeta function for curve singularities: the classical version, applicable...
arXiv:2411.14181v3 Announce Type: replace Abstract: We prove that the average size of a mixed character sum $$\sum_{1\le n \le x} \chi(n) e(n\theta) w(n/x)$$ (for a...
arXiv:2412.17320v3 Announce Type: replace Abstract: We study an inductive method of computing initial ideals and Gr\"obner bases for families of ideals in a polynomial ring....
arXiv:2501.00920v2 Announce Type: replace Abstract: We prove the necessary and sufficient condition for the removability of the fundamental singularity, and equivalently for the unique solvability...
arXiv:2501.01188v2 Announce Type: replace Abstract: We investigate the nearsightedness property in the linear tight binding model at zero Fermi-temperature. We focus on the decay property...
arXiv:2501.12505v2 Announce Type: replace Abstract: We consider a sequence of finite irreducible Markov chains with exponentially small transition rates: the transition graph is a fixed,...
arXiv:2501.12699v5 Announce Type: replace Abstract: Only recently the concept of achronal localization has been developed as the adequate frame for the description of the localizability...
arXiv:2502.00403v2 Announce Type: replace Abstract: A longstanding open question in sub-Riemannian geometry is the smoothness of (the arc-length parameterization of) length-minimizing curves. In [6], this...
arXiv:2502.02580v3 Announce Type: replace Abstract: In mixture models, anisotropic noise within each cluster is widely present in real-world data. This work investigates both computationally efficient...
arXiv:2502.06383v3 Announce Type: replace Abstract: For a smooth quasi-affine variety $X$, the affine closure $\overline{T^*X} := \text{Spec}(\mathbb{K}[T^*X])$ contains $T^*X$ as an open subset, and its...
arXiv:2502.16225v3 Announce Type: replace Abstract: Let $\{Z_n\}_{n\geq 0 }$ be a critical $d$-dimensional branching random walk started from a Poisson random measure whose intensity measure...
arXiv:2503.00349v2 Announce Type: replace Abstract: Energy-based learning algorithms are alternatives to backpropagation and are well-suited to distributed implementations in analog electronic devices. However, a rigorous...
arXiv:2503.08955v2 Announce Type: replace Abstract: For a non-Archimedean locally compact field $F$ of odd residue characteristic and characteristic $0$, we prove a conjecture of D....
arXiv:2503.09887v3 Announce Type: replace Abstract: We develop a novel stability theory for Sinkhorn semigroups based on Lyapunov techniques and quantitative contraction coefficients, and establish exponential...
arXiv:2503.14107v4 Announce Type: replace Abstract: By extending the method developed in our recent paper \cite{LM} we present the AQFT framework in terms of von Neumann...