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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: 971 arXiv preprints and 29 OpenAlex records.
Newest papers, page 5
Finding full immersions is fixed-parameter tractable in labeled tour graphs
We give an $O_H(n^5)$-time algorithm to test whether an $n$-vertex labeled tour graph has a full immersion isomorphic to a labeled tour graph $H$.Regularization vs. Convolution in Kernel-Based Hypothesis Testing
The maximum mean discrepancy (MMD) test is a popular nonparametric test on general domains.Fundamental Limits of Coherent Imaging in The Presence of Atmospheric Turbulence
We study the fundamental limits of jointly estimating the signal amplitude and the atmospheric phase distortion in complex-valued multi-look coherent imaging, where the measurements are corrupted by…Monadically Dependent Graph Classes Have Almost Bounded Merge-Width
A graph class $\mathcal{C}$ is monadically dependent if one cannot interpret all graphs in vertex-colored graphs from $\mathcal{C}$ using a fixed formula of first-order logic.Optimal Holding Times for Entanglement Swapping
We revisit the optimization of entanglement holding times in memory-based quantum repeaters for maximizing entanglement swapping throughput under different fidelity constraints - strict…Deterministic Fault-Tolerant Connectivity Oracles with Subquadratic Space
A fault-tolerant (FT) connectivity oracle for an $n$-vertex graph $G=(V,E)$ determines whether $G- F$ is connected for any query set $F\subseteq E$.Adaptive Multi Mode: Budget-Aware Routing of Optimizers By Online Landscape Probes
The best classical optimizer for a continuous black-box problem depends on its budget and landscape.Using topology to reveal all mutually unbiased bases in dimension six
Mutually unbiased bases (MUBs) describe complementary quantum measurements: certainty in one basis gives no information about the others.ToroFit: Fitting Wedge Sums of Tori to High-Dimensional Data
Data arising in scientific applications often exhibits complex nonlinear structure.Resolving Tusnády's Problem
We prove a lower bound of $Ω_d((\log N)^{d-1/2})$ for the worst-case combinatorial discrepancy of $N$-point sets with respect to anchored boxes in every fixed dimension $d\ge3$.Multipartite Entanglement, TQFT Partition Functions and PL Bordism
In a previous work we conjectured that the multi-invariants of the ground state of a gapped $(d-1)+1$-dimensional system, labeled by bipartite $(d+1)$-edge-colored graphs encoding closed oriented…A hierarchy of physics-embedded neural operators for structural dynamic surrogate modelingA hierarchy of physics-embedded neural operators for structural dynamic surrogate modeling
Structural-response surrogates must capture moving resonances, phase changes, and unequal-amplitude transfer channels during optimization or health-state changes.Necessary and sufficient conditions for the martingale property of stochastic exponentials driven by multi-dimensional diffusions
We give necessary and sufficient coefficient conditions for stochastic exponentials driven by multidimensional diffusions to be true martingales.Eddies that ride the flow: a model of turbulence with Richardson dispersion and anomalous dissipation
We construct a divergence-free velocity field $\mathbf{u}(\mathbf{x},t)$ on $\mathbb{T}^{n}$ that is a genuine function of position and carries both defining properties of turbulent transport…Improving the accuracy of the momentum-exchange method in lattice Boltzmann methods
In the lattice Boltzmann method (LBM), the momentum-exchange method (MEM) is widely used to evaluate hydrodynamic forces at fluid-solid interfaces due to its computational efficiency and geometric…A Survey of Nonlinear Filtering Methods for Data Assimilation and Recent Advances in Generative AI-Enabled Score Filters
Many real-world applications, such as numerical weather prediction or wildfire tracking, involve modeling highly nonlinear dynamical systems that are chaotic and influenced by various sources of…Distributed Geometric Optimization and Control of Rigid Differential-Drive Formations from Relative-Position Measurements
Distance based formation control fixes the shape of a robot team but leaves its position and orientation unconstrained.Nonparametric GARCH: An Iterated Neural Estimator
We study nonparametric estimation and forecasting for GARCH-type processes and propose an iterated neural estimator that alternates between estimating the recursion map and updating the unobserved…Descending Everest, Part II: Oracle Complexity of Minimizing a Sum of Convex $(L_0,L_1)$-Smooth Functions
We study the minimization of the average of $n$ convex $(L_0,L_1)$-smooth functions: the Hessian norm of each function is bounded by an affine function of its gradient norm.Point interpolation and distributional universality in flow-based generative models
Motivated by the expressive power of neural ordinary differential equations in flow-based generative modeling, we study the approximation of probability measures by pushforwards generated by…
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