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arXiv:2602.12061v1 Announce Type: cross Abstract: This paper rigorously analyzes bond failure in the peridynamic theory of solid mechanics, which is a fundamental component of fracture...
arXiv:2602.12070v1 Announce Type: cross Abstract: In the Contention Resolution problem $n$ parties each wish to have exclusive use of a shared resource for one unit...
arXiv:2602.12075v1 Announce Type: cross Abstract: The Poisson equation governing a planet's gravitational field is posed on the unbounded domain, $\mathbb{R}^3$, whereas finite-element computations require bounded...
arXiv:2602.12085v1 Announce Type: cross Abstract: Renormalization group flows are constrained by symmetries. Traditionally, we have made the most of 't Hooft anomalies associated to the...
arXiv:2602.12104v1 Announce Type: cross Abstract: Liquidation of collateral are the primary safeguard for solvency of lending protocols in decentralized finance. However, the mechanics of liquidations...
arXiv:2602.12146v1 Announce Type: cross Abstract: Efficient lossless compression is essential for minimizing storage costs and transmission overhead while preserving data integrity. Traditional compression techniques, such...
arXiv:2602.12199v1 Announce Type: cross Abstract: We propose a geometric model for optimal shape-change-induced motions of slender locomotors, e.g., snakes slithering on sand. In these scenarios,...
arXiv:2602.12212v1 Announce Type: cross Abstract: Equilibrium statistical ensembles commute with the Hamiltonian and thus carry no coherence in the energy eigenbasis. We develop a thermodynamic...
arXiv:2602.12234v1 Announce Type: cross Abstract: Experimental design is central to science and engineering. A ubiquitous challenge is how to maximize the value of information obtained...
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...