A sharp dimension bound for Furstenberg sets built from transversal families of graphs, with an application to Fourier decay of fractal measures on convex curves.
Szemerédi-Trotter bounds for tubes and applications
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Furstenberg set theorem for transversal families of functions
A sharp dimension bound for Furstenberg sets built from transversal families of graphs, with an application to Fourier decay of fractal measures on convex curves.