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arXiv:2602.12265v1 Announce Type: cross Abstract: Hecke operators acting on modular functions arise naturally in the context of 2d conformal field theory, but in seemingly disparate...
arXiv:0801.3487v3 Announce Type: replace Abstract: We obtain rigorous a priori upper and lower bounds to the exact period of the celebrated Rayleigh stretched string differential...
arXiv:1712.05167v3 Announce Type: replace Abstract: We study the Fluctuation Theorem (FT) for entropy production in chaotic discrete-time dynamical systems on compact metric spaces, and extend...
arXiv:1907.05876v2 Announce Type: replace Abstract: Novikov's theorem is a rigidity result on the class of taut foliations on three-manifolds. For higher dimensional manifolds, foliations with...
arXiv:2103.16380v2 Announce Type: replace Abstract: Given a cusp form $f$ which is supersingular at a fixed prime $p$ away from the level, and a Coleman...
arXiv:2106.14010v4 Announce Type: replace Abstract: In 2019 P. Patak and M. Tancer obtained the following higher-dimensional generalization of the Heawood inequality on embeddings of graphs...
arXiv:2204.06990v4 Announce Type: replace Abstract: We consider observations $(X,y)$ from single index models with unknown link function, Gaussian covariates and a regularized M-estimator $\hat\beta$ constructed...
arXiv:2209.08732v4 Announce Type: replace Abstract: We establish the relative minimal model program with scaling for locally projective morphisms of quasi-excellent algebraic spaces admitting dualizing complexes,...
arXiv:2211.00035v4 Announce Type: replace Abstract: Geometric quantiles are location parameters which extend classical univariate quantiles to normed spaces (possibly infinite-dimensional) and which include the geometric...
arXiv:2211.02271v2 Announce Type: replace Abstract: We consider the projected gradient algorithm for the nonconvex best subset selection problem that minimizes a given empirical loss function...
arXiv:2211.03997v3 Announce Type: replace Abstract: Online platforms increasingly rely on sequential decision-making algorithms to allocate resources, match users, or control exposure, while facing growing pressure...
arXiv:2302.07697v3 Announce Type: replace Abstract: Under a stronger genericity condition, we prove the local analogue of ghost conjecture of Bergdall and Pollack. As applications, we...
arXiv:2302.08763v3 Announce Type: replace Abstract: This work is a series of two articles. The main goal is to rigorously derive the degenerate parabolic-elliptic Keller-Segel system...
arXiv:2306.13022v2 Announce Type: replace Abstract: In his proof of the K(pi,1) conjecture for complex reflection arrangements, Bessis defined Garside categories suitable for studying braid groups...
arXiv:2306.14851v4 Announce Type: replace Abstract: Given a high-dimensional covariate matrix and a response vector, ridge-regularized sparse linear regression selects a subset of features that explains...
arXiv:2310.06620v2 Announce Type: replace Abstract: We consider a class of blow-up solutions for perturbed nonlinear heat equations involving gradient terms. We first prove the single...
arXiv:2311.03475v2 Announce Type: replace Abstract: Distributed ledgers, including blockchain and other decentralized databases, are designed to store information online where all trusted network members can...
arXiv:2311.15013v2 Announce Type: replace Abstract: In this paper, we consider the asymptotic properties of hook numbers of partitions in restricted classes. More specifically, we compare...
arXiv:2311.15397v4 Announce Type: replace Abstract: The first main result of this paper classifies contact 3-manifolds admitting critical metrics, i.e. adapted metrics which are the critical...
arXiv:2311.16020v2 Announce Type: replace Abstract: We calculate the Dehn twist action on the spaces of conformal blocks of a not necessarily semisimple modular category. In...
arXiv:2312.14032v2 Announce Type: replace Abstract: In this work, we introduce a combinatorial-geometric model for the space of discrete Morse functions on any CW complex $X$....
arXiv:2403.07772v3 Announce Type: replace Abstract: In recent years, differential privacy has been adopted by tech-companies and governmental agencies as the standard for measuring privacy in...
arXiv:2403.12882v2 Announce Type: replace Abstract: We show that the quantum invariants arising from typical representations of the quantum group $U_h\mathfrak{sl}(2|1)$ are q-holonomic. In particular, this...
arXiv:2403.19550v2 Announce Type: replace Abstract: We prove that the imaginary parts of scattering resonances for negatively curved asymptotically hyperbolic surfaces are uniformly bounded away from...