Two-ends Furstenberg estimates in the plane

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Hong Wang , Shukun Wu This is my paper · ORCID

classification math.CAmath.COmath.MG

keywords estimatesfurstenbergplanetwo-endsdeltageneralkatz-taolines

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abstract

We prove two-ends Furstenberg estimates in the plane for a Katz-Tao $(\delta,t)$-set of lines, for general $t\in[0,2]$.

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Two-ends Furstenberg inequality for transversal families and applications to Fourier decay
math.CA 2026-07 accept novelty 6.5 of 10

A simplified two-ends Furstenberg inequality holds for transversal curve families and yields L6 Fourier decay R^{2-5s/2+ε} for s-Frostman measures on convex curves when s≤2/3.