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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 26
Threshold Criteria for Bosonic and Fermionic Trimers on a Square Lattice: A Birman--Schwinger Comparison
We compare two three-particle lattice models on the square lattice at total quasimomentum zero: three identical bosons with attractive contact interactions, and a two-fermion plus one…An Application of Geometric Riemannian Pricing Algorithm for Valuing Catastrophe Bonds in Incomplete Markets: Market-Consistent Financial Entropy and the Split of Frequency and Severity Risk Premia
This paper presents a framework for pricing catastrophe (CAT) bonds in incomplete markets through Riemannian geometric optimization of financial entropy.Quantum circuits of elastic wave equations via Schrödingerisation
We construct explicit quantum circuits for the velocity-stress formulation of elastic wave equations in homogeneous media using Schrödingerisation.Cost-based variable selection for prediction models
Variable selection for clinical prediction models is commonly done on statistical grounds related to model fit.The Geometry of Manifold Learning: Singular foliations via Deep Learning models
Deep learning algorithms have become widely used and successful across a wide range of tasks.Para-Gaussian Approximations of Random Deep Neural Networks
It is known that randomly initialized neural networks have Gaussian behaviour in the $n\to \infty$ limit.Displacement Moments and Path-Terminal Separation in Brownian Interpolant Sampling
Brownian stochastic interpolants connect paired endpoint samples, yet their sampling error can depend on displacement moments even when neither endpoint has a first moment.AMOR: Adaptive Modal Operator Refinement for Operator Learning on Arbitrary Meshes and Irregular 3D Geometries
Parametric PDEs in science and engineering are often posed on irregular meshes with geometries that may contain holes or complex boundaries, yet popular operator-surrogate architectures such as the…Recovering classical gauge geometry from quantum master constraints
Exact normalizable solutions of quantum constraints form a symplectic submanifold of the space of rays, whereas classical first-class constraints define a surface on which the symplectic form is…Regression Functions as Fields on Covariate Space: Evolution Equations, the Hessian, and Identification
For each time $t$, the regression function $m_t(x)=E[Y_t\mid X_t=x]$ of an outcome on contemporaneous covariates can be regarded as a field on covariate space.Every route counts, but some count more: a max-plus view of the C. elegans brain
Brains do not simply add up every signal they receive: they select which routes dominate.GNBG-C: A Unified and Configurable Benchmark Generator for Constrained Continuous Optimization
Many real-world optimization tasks are governed not only by what should be optimized, but also by what is allowed: a solution must first satisfy physical, operational, safety, budgetary, or…Agentic Distributional Regression: Conditional Density Estimation through Agent-Written Programs
Artificial intelligence offers statisticians a new paradigm for modelling and analysing complex datasets.Approximate Counting for Mixed $p$-Spin Glasses in Weak External Fields via Cluster Expansion
We give algorithms for approximating the partition function $Z_N$ of the Sherrington--Kirkpatrick (SK) model and finite mixed Ising $p$-spin models with $p\ge 3$.MuonGS: Pretraining LLMs with Relaxed Weight-Norm Control
Weight decay and explicit weight-norm constraints improve optimizer performance in language model pretraining, yet a unified understanding of why such control helps and how much is needed remains…Optimal quantum discrimination at Liouvillian exceptional points
Central to non-Hermitian sensing is the question of whether exceptional points (EPs) can make weak perturbations easier to detect.Local-to-Global Theorems Based on Cones with Applications to Graph Coloring
Local-to-Global theorems are a cornerstone of many of recent developments in theoretical computer science from coding theory and PCPs all the way to analyzing mixing time of Markov chains.Defining 2-group symmetries on lattices and extracting their anomalies
Ordinary $0$-form symmetries $G$ can mix with $1$-form symmetries $Π_2$ to form a $2$-group $\mathcal{G}$.Fundamental limits on photonic state preparation from phase-space majorization
Preparing complex quantum states of light for quantum information processing tasks often proceeds by converting from simpler states via experimentally accessible operations.Exact Solution of the $(2+1)$-Dimensional Dunkl-Klein-Gordon Oscillator with a Uniform Magnetic Field in Non-Commutative Phase Space
We solve the Klein-Gordon oscillator in a non-commutative phase space, generalized using Dunkl derivatives, both with and without interaction with a uniform magnetic field.
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