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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 48
Quantum LDPC Codes from Polynomial Minors
We construct quantum codes from codewords of a cyclic code and the minors of a polynomial matrix.On Inherent Privacy of Posterior Sampling: A Unified Rényi-Divergence Framework
Differential Privacy (DP) provides a rigorous framework for quantifying privacy guarantees.Coherent-State Integrals Beyond the Domain of Operator Products
Inserting a resolution of the identity between two operators turns a matrix element of their product into a phase-space integral.From Global to Tail Convergence: Dynamics of $α$-Stable Score-Based Generative Models
Score-based generative models driven by $α$-stable L{é}vy processes have been proposed as an alternative to Brownian diffusion models, with empirical evidence suggesting improved sampling and better…Computational compressive imaging reconstruction with a simulated-annealing-based Ising solver
Computational compressive imaging, such as single-pixel imaging and lensless imaging, is a promising imaging technique, enabling the reconstruction of objects from under-sampled measurements through…On the Optimisation Landscape of Overparameterised Weighted MMD
We study the optimisation landscape of the maximum mean discrepancy (MMD) over weighted atomic measures.Acoustic scattering from quantum dynamics
Scattering of sound waves propagating in a compressible fluid is linked to the quantum dynamics generated by a class of non-Hermitian Hamiltonian operators.Maximum likelihood, neural networks and posterior mean for inferring fractional Brownian motion parameters
Fractional Brownian motion (fBM) is a model of anomalous diffusion parameterised by a Hurst exponent $H \in (0,1)$ and a generalised diffusion coefficient $D_H > 0$.Interior smoothness and zero-variance geometry for finite-maturity Heston American puts
We study finite-maturity American puts in the Heston model without the Feller condition.Multi-Instantons and Exact-WKB Stokes Jumps in Multi-Well Quantum Mechanics
We study the relation between the exact-WKB Delabaere--Dillinger--Pham Stokes jumps and the multi-instanton expansion of a one-dimensional potential with $N$ equal-depth minima.Minimax estimation of the pseudo-spectral gap of continuous Markov chains, with applications to empirical concentration bounds
We study the minimax estimation of the pseudo-spectral gap $γ_{ps}$ of a Markov chain from the observation of a single trajectory.MCMC Can See Can't See
It is folklore that passing "convergence" diagnostics does not guarantee that a Markov chain has converged.An Analytic 0.48-Approximation for Non-Monotone k-Submodular Maximization under a Matroid Constraint
We give a randomized polynomial-time $0.48$-approximation for maximizing a nonnegative non-monotone $k$-submodular function under a matroid constraint, for every $k\ge2$.Exact analytical spectra of an effective field-modified radial Schrödinger equation by the Nikiforov--Uvarov method
We revisit the effective radial Schrödinger equation for a charged spinless particle in collinear static electric and magnetic fields that was formulated in our earlier work within the tridiagonal…Quantized six-vertex realizations of frustration graphs
A recent graph-theoretic criterion for a Hamiltonian to exhibit a free-parafermion spectrum is that its frustration graph be an indifference graph.Dimension-Optimal Dynamic Regret in Exp-Concave Online Learning
Tracking changing comparators is a central problem in online learning.Mixed Poisson diffusion models and application to posterior sampling
Diffusion models are a powerful framework for learning complex probability distributions.Hierarchical Gaussian Processes for Survey Weighting: Local Equivalent Weights in Structured Populations
Regression-based survey weighting connects model-based population estimation with design-based inference through equivalent weights.Degeneracy graph determinants and higher-dimensional Young diagrams
Kemp and Ramgoolam proposed a basis of monomials for a commutative semisimple algebra with generators \(C_1,\ldots, C_L\), constructed from a degeneracy graph which records how the eigenspaces of \(…When Does Momentum Help in Reinforcement Learning with Verifiable Rewards?
Momentum is a classical tool for accelerating convex optimization and a standard component of modern large language model training.
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