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特異積分とフラクタル構造の解析 - 2026/10/9の論文17本
プレプリどんどん: math.CA · 9 октября 2026 г. · 31 мин
arXiv math.CAの新着論文17本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-09/ The Kakeya problem for codimension-two planes in $\mathbb{R}^n$ Multilinear rough singular integral operators may not be of the weak type at the endpoint Revisiting Positive Exponent power weighted Stein-Weiss inequalities in $L^1$ Fourier Restriction Beyond Dimension Data: A Multiscale Moment Criterion On a control problem for two orthogonal nets of curves in the plane Box dimension profiles and intermediate dimensions Fourier quasicrystals with positive integer masses are sections of Lee-Yang cycles The Erd\H{o}s-Falconer distance problem in the integer lattice Equidistribution of number theoretic point sets in the torus and the sphere in Wasserstein metric and $L^2$ discrepancy Universal Radial Laws for Random Polynomials: Erd\H{o}s Problem #522 and Non-Universal Fluctuations Bounds on the maximum number of limit cycles of piecewise linear Lienard systems II. The discontinuous case Hierarchical Melnikov Realization: Logarithmic Factor Improvement to Hilbert Number Lower Bounds A Computationally-Efficient Closed-Form $C^{s,1}$-Extension Formula Measurable obstructions for unmeasurable colourings Directed fractal percolation and non-Lipschitz variants Estimates on Fully Nonlinear Elliptic Equations with Unrectifiable Exceptional Gradient Sets Global asymptotic stability of homogeneous polynomial vector fields is undecidable