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Kakeyaとフーステンベルクと多項式 - 2026/10/12の論文14本
プレプリどんどん: math.CA · 12 октября 2026 г. · 29 мин
arXiv math.CAの新着論文14本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-12/ New bound on the Hausdorff dimension of Kakeya sets in $\mathbb{R}^4$ A higher-dimensional Schr\"odinger maximal estimate along families of bi-Lipschitz curves The square function estimate for the cone in four dimensions Limit cycles of slow-fast quintic Lienard systems Sharp power-weight estimates for the fractional spherical maximal operator Hsiang cubics as spherical Chebyshev polynomials: equioscillation and idempotent quadrature Spread-out Furstenberg sets I: the sticky case Spread-out Furstenberg sets II: general configurations and fractal restricted projections The second type of power mean bounds for the hypergeometric mean Characterizing higher-dimensional H\"older domains via spherical geometric functions Volume stability of plank covers High-Index Asymptotics of Mathieu Spectral Gaps and Splittings Reasonable bounds for Restricted Polynomial Progressions in $\mathbb F^n_p$ Dimension-free Markov--Bernstein-type inequality for $\mathbb R^2$-valued polynomials