Two-ends Furstenberg estimates in the plane

2025/09/26 by Wang, Hong, Wu, Shukun
#Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.2509.21869

Abstract

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

Citations

• Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities
• Furstenberg sets estimate in the plane
• Projections, Furstenberg sets, and the ABC sum-product problem

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