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arXiv:2602.12439v1 Announce Type: new Abstract: For the moduli spaces $\Sigma_{d,t}^n$ and $\Upsilon_{d,t}^n$ of polarized hyperk\"ahler manifolds of Hilb$^n$(K3)-type and Kum$^n$-type respectively, with polarization with square...
arXiv:2602.12447v1 Announce Type: new Abstract: In this work, a convergent low-temperature cluster expansion of the one-dimensional long-range ferromagnetic Ising model with polynomial decay $\alpha\in (1,2]$...
arXiv:2602.12451v1 Announce Type: new Abstract: This paper proposes a conceptual model for the onset of a stable torus near a saddle-focus equilibrium. This bifurcation scenario...
arXiv:2602.12453v1 Announce Type: new Abstract: We study the microlocal properties of generalized Radon transforms over a family of quadric hypersurfaces whose centers lie on an...
arXiv:2602.12455v1 Announce Type: new Abstract: We studied a new notion of generalized convex functions called $e$-quasi\-con\-ve\-xi\-ty, which encompasses both quasiconvex and $e$-convex functions, including all...
arXiv:2602.12456v1 Announce Type: new Abstract: We investigate the strong approximation of stochastic differential equations whose drift is square-integrable in time and Dini continuous in space,...
arXiv:2602.12462v1 Announce Type: new Abstract: The goal of this article is to prove that the Grothendieck-Teichm\"uller group $\widehat{GT}$ acts on $\widehat{\Gamma}_{g,0}$ and $\widehat{\Gamma}_{g,1}$,the (full) profinite...
arXiv:2602.12463v1 Announce Type: new Abstract: We argue that it is neither necessary nor sufficient for a mathematical proof to have epistemic value that it be...
arXiv:2602.12467v1 Announce Type: new Abstract: We investigate state dependent delay differential equations with distributed memory, combining discrete state dependent delays and a convolution type memory...
arXiv:2602.12474v1 Announce Type: new Abstract: We study the K-stability of singular Fano 3-folds with canonical Gorenstein singularities whose anticanonical linear system is base-point-free but not...
arXiv:2602.12483v1 Announce Type: new Abstract: Randomized Kaczmarz (RK) is a simple and fast solver for consistent overdetermined systems, but it is known to be fragile...
arXiv:2602.12491v1 Announce Type: new Abstract: In this article, we enforce space group symmetries in Fourier series to rigorously prove the existence of smooth, periodic solutions...
arXiv:2602.12493v1 Announce Type: new Abstract: We develop a technique for studying first-order codifferential calculi initiated by Doi and Quillen in the context of cyclic cohomology....
arXiv:2602.12494v1 Announce Type: new Abstract: We prove that the leading coefficient of the "error" terms of NRS(2) applied to a cubic polynomial $f(z)$ with starting...
arXiv:2602.12505v1 Announce Type: new Abstract: In this paper, we consider coalgebra measurings and the maps induced by them between Hochschild and cyclic homology of algebras....
arXiv:2602.12511v1 Announce Type: new Abstract: The existence of global renormalized solutions to the Boltzmann equation with long-range interactions without angular cutoff was first established by...
arXiv:2602.12512v1 Announce Type: new Abstract: We study non-interacting electrons in disordered materials which exhibit a spectral gap, in each of the ten Altland-Zirnbauer symmetry classes,...
arXiv:2602.12513v1 Announce Type: new Abstract: In this work, we study the sample complexity of obtaining a Nash equilibrium (NE) estimate in two-player zero-sum matrix games...
arXiv:2602.12516v1 Announce Type: new Abstract: In this paper, we introduce the notion of Jacobi Novikov-Poisson algebras and demonstrate that their affinization yields Jacobi algebras. We...
arXiv:2602.12519v1 Announce Type: new Abstract: In this paper, we introduce the definition of transposed Novikov-Poisson algebras, whose affinization are transposed Poisson algebras. Moreover, we show...
arXiv:2602.12523v1 Announce Type: new Abstract: Consider the following process whereby $n$ balls are distributed into $k$ bins. Repeatedly, a ball is removed from a non-empty...
arXiv:2602.12551v1 Announce Type: new Abstract: We give a complete characterization of tournaments H that have the Sidorenko property with respect to nearly regular tournaments, i.e.,...
arXiv:2602.12555v1 Announce Type: new Abstract: Given a Legendrian submanifold in any dimension, we prove that two augmentations are isomorphic within the positive augmentation category exactly...
arXiv:2602.12559v1 Announce Type: new Abstract: This paper analyzes local convergence of the block Newton (BN) method introduced in [5, 6] for one-dimensional shallow neural network...