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Mathematics & Statistics
New mathematics and statistics is posted on arXiv, often long before it appears in a journal. This page shows the newest papers ReadSearch has read, from algebra and geometry to analysis, probability and applied mathematics.
The newest 1,000 papers, from 13 October 2026 to 5 November 2026: 968 arXiv preprints and 32 OpenAlex records.
Newest papers, page 34
When Are Nesterov Trajectories Eventually Locally Minimizing?
We revisit the variational characterization of Nesterov's celebrated method and study when Nesterov trajectories are eventually locally minimizing in a variational sense, a notion that we define…Contributions to the Stable Derived Categories of Gorenstein Rings
The stable derived category $D_{sg}(R)$ of a Gorenstein ring $R$ is the Verdier quotient of the bounded derived category $D^b(\mathsf{mod}\, R)$ by the thick subcategory of perfect complexes, and…Deterministic Root-Finding over Finite Fields with Elliptic Curves
Finding the roots of a polynomial over a finite field $\mathbb F_q$ in deterministic polynomial time is a long-standing open problem.Bistability with equal and independent removal in small bimolecular networks
We classify two-species mass-action networks with at most three internal directed reactions on $\{X,Y,2X,X+Y,2Y\}$, positive inflows, and linear removal of both species.Lifetime-valid decisions by continually evolving AI analysts
AI agents increasingly act as analysts whose decision can often be cast as hypothesis tests.Optimal Mixing for Local Edge-Coloring Dynamics on Trees
We study the mixing time of two local Markov chains for uniformly sampling proper edge colorings of trees.Multiple Stopping and Exercise Boundaries for American Put Options
This article studies a finite-horizon American put option with up to $m$ exercise rights under the risk-neutral Black--Scholes model, where consecutive exercises must be separated by a prescribed…Global Convergence of Detailed Balanced Mass Action Systems
We give a self-contained proof that, for a finite detailed balanced mass-action system with positive rate constants, each positive stoichiometric compatibility class contains exactly one positive…A sharp gradient-corrected Lieb--Thirring inequality in one dimension with applications to density functional theory
We first prove a sharp Lieb-Thirring inequality with semi-classical constant and gradient correction in one dimension.Multichoice Modeling: Exploring Decision Configuration Space under Uncertainty
Decision support has become sophisticated at exploring uncertainty, but much less so at representing the architecture of the decision itself.Prediction Uncertainty Controlled Computer Model Calibration
Computer-model calibration is usually undertaken in service of prediction, yet neither Bayesian Kennedy-O'Hagan (KOH) calibration nor amortized simulation-based inference is built to control the…Deep ReLU Networks Can Fail the Best Approximation Property for Continuous Target Functions
We construct a continuous function on $[-1,1]^2$ for which the infimum of the $L^2$-approximation error over the class of ReLU networks with two hidden layers and architecture $(2,2,1,1)$ is not…Deep Learning for Random Objects in Metric Spaces: Beyond Manifold Assumptions
Deep learning (DL) methods have substantially improved predictive performance across a wide range of downstream prediction tasks, enabling new discoveries in multiple domains.Convex Equilibrium Potentials for Monge--Ampère: Curvature Bounds and A Posteriori Evaluation
Equilibrium neural networks define their hidden state as the fixed point of a contraction, so their effective depth is set at evaluation time rather than by the architecture.Dimension-free regimes for unadjusted Langevin in ridge-separable models: A subspace robust Wasserstein analysis
The Unadjusted Langevin Algorithm (ULA) is widely used for high-dimensional Bayesian inference.Structure-preserving reduced-order models of thin panels in supersonic and hypersonic flow
We build structure-preserving reduced-order models for both challenge problems of the AePW-4 High-Speed Working Group.Closing All-Exp Gaps in Local Search for the Traveling Salesman Problem and Maximum Constraint Assignment
We prove the all-exp property for the Traveling Salesman Problem with the $2$-opt neighborhood, and for $(3,2,2)$- and $(2,3,2)$-Maximum Constraint Assignment with the flip neighborhood.Direct Inference on Admissible Sets (Diona)
We propose a new regression method named Direct Inference on Admissible Sets (Diona) that directly uses samples to estimate the state and its derivatives at a query point, along with their…Dispersive Tree Agreements for Multi-Robot Coordination
Multi-robot coordination of nonlinear systems is naturally formulated as joint-space optimal control subject to constraints over groups of robots.Size-independent Logarithmic Sobolev Inequalities for Quantum Gibbs Samplers
We propose a new method for proving $L^2$ and modified logarithmic Sobolev inequalities with constants independent of system size for quantum Gibbs samplers whose Lindblad generators satisfy…
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