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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 50
When the implementation matters more than the algorithm: NSGA-II and other multi-objective optimizers in engineering design tools
Engineering design tools increasingly embed optimizers as ready-made components that users select by algorithm name, while operator settings and bound, integer and duplicate handling stay fixed…On the Complexity of Linear Programs with Parametric Constraint Matrices
While sensitivity analysis for linear programs with parametric right- hand side vectors is well established, cases involving parametric constraint matrices remain less explored.On the Hardy--Littlewood--Chowla conjecture
An old conjecture dating back at least to Hildebrand's work in 1989, asserts that the Möbius function exhibits cancellation on shifted primes; that is, $$\sum_{p\le x}μ(p+2)=o(π(x)),\quad \text{or…On the Lattice Tilings by Lee Balls: Q-Polynomials, Group-Ring Equations, and a Decision Algorithm
More than 50 years ago, Golomb and Welch conjectured that no tilings of $\mathbb{Z}^n$ by Lee balls of radius $r$ exist for $n \geq 3$ and $r \geq 2$.Connectivity keeping pendant extensions of paths in $k$-connected triangle-free graphs
Motivated by Mader's conjecture on connectivity keeping trees, we study the corresponding problem in triangle-free graphs.Kaplansky's conjectures fail for torsion-free hyperbolic groups in positive characteristic
Do Kaplansky's group-ring conjectures hold for torsion-free word-hyperbolic groups?Convex-Analytic View of Query Selection for Safety Verification of Markov Decision Processes
Safety verification of a Markov decision process (MDP) asks whether the probabilities of reaching several failure states jointly lie in a convex safe region under every scheduler.Risk-Averse Inference-Time Diffusion Model Alignment with Finite-Sample Guarantees
Inference-time alignment steers diffusion models toward downstream objectives without costly fine-tuning, but existing methods typically optimize expected cost (or reward) without explicitly…textGrain watermarking is harder to detect: can sum-tests still do it optimally?
Watermarking embeds an imperceptible signal in text from large language models that is statistically detectable with a secret key.A Minimum Exact Disjunctive Basis for Two-Robot Solvability Profiles
We completely characterize the solvability profiles of tasks for two autonomous mobile robots in the plane under variable disorientation, chirality, and rigid movements.E-Backtesting Expected Shortfall without Value-at-Risk Forecasts under Time-series Models
Expected Shortfall (ES) measures the average size of tail losses.Sampling from the Sherrington-Kirkpatrick Model up to Criticality
We prove that the simulated annealing algorithm efficiently samples from the Sherrington-Kirkpatrick model at inverse temperature $β< 1$ to an arbitrary inverse polynomial accuracy in total variation.Linear Regression Beyond Covariance: Latent Slope Spectra from Higher-Order Cumulants
Least squares summarizes the joint distribution of a response and regressor through second-order information.How many switches does two-Hamiltonian universality require?
Any pair of sufficiently generic Hamiltonians on $\mathbb{C}^d$ generates the full unitary group, i.e., any $W\in U(d)$ can be synthesized to arbitrary precision by alternating between the two…Dynamics of low energy wave packets in the one-dimensional quantum Heisenberg ferromagnet
Spin wave theory plays a central role in the analysis of low-energy properties of the quantum ferromagnetic Heisenberg model.On integrability of local utility maximizing strategies
In stochastic control problems involving optimal portfolio choice, one often seeks an optimizer of some local criterion (dynamic programming value function) generated by some global criterion (e.g…Dynamical BEC formation and vanishing entropy for trapped bosons in non-relativistic QED via nonlinear resonance cascades
The dynamical formation of a complete Bose-Einstein condensate and the asymptotic purification of trapped bosons coupled to a quantized radiation field are rigorously established.Inclusion-wise extremal knapsack problems are (mostly) hard to approximate
We study two inclusion-wise extremal variants of the 0-1 Knapsack Problem (KP).Contractor Filters
We introduce Contractor Filters (CFs), a set-membership architecture for nonlinear continuous-time state estimation with bounded uncertainties and sporadic outliers.ndscape: a structural map of the nested dichotomy space
Nested dichotomies (NDs) reduce multiclass classification to a tree of binary classifiers.
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