Analysis & PDE · Mathematics & Statistics
Classical Analysis & ODEs
The newest papers in Classical Analysis & ODEs that ReadSearch has read, newest first. Each links to its own page, with its authors, date, where it was published and the original.
7 papers, from 5 September 2026 to 4 November 2026: 7 arXiv preprints.
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Newest papers
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 $d\ge3$.On the gradient conjecture at infinity: Finite spherical length for gradient trajectories of definable potentials
We prove that for every open $ U \subseteq \mathbb R^n $ the spherical projection of every gradient trajectory $θ(t)$, $t \geq 0$, of a definable $C^1$-potential $F \colon U \to \mathbb R$ has…Description Complexity Bounds for Analytic Approximations of Lipschitz Functions
We study how many bits are needed to write down an elementary analytic expression that uniformly approximates a Lipschitz function.A Computationally-Efficient Closed-Form $C^{s,1}$-Extension Formula
We identify explicit closed-form and variational formulae for interpolating the exact values and derivatives through order $s$ of a $C^{s,1}$ function $f:\mathbb{R}^d\to\mathbb{R}$ at $N$ distinct…The double descent and Runge phenomena in overparametrized polynomial interpolation
The Runge phenomenon in polynomial interpolation is often considered a classical analogue of the double descent phenomenon in machine learning.Why Directly Learning Periodic Trajectories Can Fail
Operator learning of periodic solutions requires deciding how simulation data should be recorded and represented.A solution to the Erdős Problem #1040
For a compact set $K\subset\mathbb{C}$, let $\vartheta(K)$ be the infimum of the planar areas of the unit lemniscates of all monic polynomials with zeros in $K$, allowing arbitrary degree and…