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arXiv:2410.15537v2 Announce Type: replace Abstract: We prove that the space $\mathcal{H}_\infty$ of framed infinite volume hyperbolic $3$-manifolds is connected but not path connected. Two proofs...
arXiv:2410.17978v2 Announce Type: replace Abstract: We study the asymptotic behavior of small data solutions to the screened Vlasov-Poisson equation on $\mathbb{R}^d\times\mathbb{R}^d$ near vacuum. We show...
arXiv:2410.20257v3 Announce Type: replace Abstract: The set of relevant cuts in a graph is the union of all minimum weight bases of the cut space....
arXiv:2411.01563v3 Announce Type: replace Abstract: In recent years, denoising diffusion models have become a crucial area of research due to their abundance in the rapidly...
arXiv:2411.03518v2 Announce Type: replace Abstract: We study normal crossings compactifications of the moduli space of maps $\mathcal{M}_{g, n}(\mathbb{P}^r, d)$, for $g = 0$ and $g...
arXiv:2411.06105v2 Announce Type: replace Abstract: In this paper, we consider the 3-D steady potential flow for a compressible gas with pressure satisfying $p'(\rho)=\rho^{\gamma-1}$, where $\rho$...
arXiv:2411.06987v2 Announce Type: replace Abstract: Let $F$ be an arbitrary totally real field. Under weak conditions we prove the existence of certain Eisenstein congruences between...
arXiv:2411.11583v3 Announce Type: replace Abstract: We present a finite volume scheme for modeling the diffusion of charged particles, specifically ions, in constrained geometries using a...
arXiv:2411.17827v2 Announce Type: replace Abstract: The Airy line ensemble is a random collection of continuous ordered paths that plays an important role within random matrix...
arXiv:2411.17875v4 Announce Type: replace Abstract: We consider a 2-player permutation game inspired by the celebrated Erd\H{o}s-Szekeres Theorem. The game depends on two positive integer parameters...
arXiv:2412.00371v3 Announce Type: replace Abstract: We define and study a natural category of graph limits. The objects are pairs $(\pi,\mu)$, where $\pi$ (the distribution of...
arXiv:2412.03807v2 Announce Type: replace Abstract: Conjugate phase retrieval considers the recovery of a function, up to a unimodular constant and conjugation, from its phaseless measurements....
arXiv:2412.05229v3 Announce Type: replace Abstract: Any profinite isomorphism between two cusped finite-volume hyperbolic 3-manifolds carries profinite isomorphisms between their Dehn fillings. With this observation, we...
arXiv:2412.06423v2 Announce Type: replace Abstract: We prove the existence of equilibrium states for geometric potentials in a class of piecewise weakly convex interval maps. This...
arXiv:2412.07092v3 Announce Type: replace Abstract: Diversities are an extension of the concept of a metric space which assign a non-negative value to every finite set...
arXiv:2501.09852v2 Announce Type: replace Abstract: Let $\mathbb{F}_q$ be the finite field with $q=p^s$ elements, where $p$ is an odd prime and $s$ a positive integer....
arXiv:2501.10672v2 Announce Type: replace Abstract: We explore connections between homotopy type theory and information theory through homotopy cardinality. We define probability types and random variable...
arXiv:2501.14697v3 Announce Type: replace Abstract: We broaden the application of the $l^{2}$-decoupling theorem to the Boltzmann equation. We prove Strichartz estimates for the linear problem...
arXiv:2502.02353v3 Announce Type: replace Abstract: We derive two formulas for motives of nullcones of quiver representations, one being explicit, the other being of wall-crossing type.
arXiv:2502.07361v2 Announce Type: replace Abstract: In this paper, we characterize the essential spectra and the resolvent set of the off-diagonal block linear relation \[ \begin{bmatrix}...
arXiv:2502.12496v4 Announce Type: replace Abstract: In this paper we consider Deep Neural Networks (DNNs) with a smooth activation function as surrogates for high-dimensional functions that...
arXiv:2502.13583v4 Announce Type: replace Abstract: A substantial body of work in machine learning (ML) and randomized numerical linear algebra (RandNLA) has exploited various sorts of...
arXiv:2502.17858v2 Announce Type: replace Abstract: Bayesian data analysis is widely used across many disciplines, and representative examples in materials science include spectral analysis and sparse...
arXiv:2503.00246v3 Announce Type: replace Abstract: We present a matrix-free approach for implementing ghost penalty stabilization in Cut Finite Element Methods (CutFEM). While matrix-free methods for...