2 papers
math.CA2026
Diameter-free reverse inequalities and superorthogonality
Adam Cushman, Ciprian Demeter, Shukun Wu
We prove three results as part of the program of diameter-free estimates initiated in [CDW26]. The first two are reverse square function estimates for the light cone in $\mathbb{R}…
math.CA2026
A note on the sum-product problem for fractal sets
Adam Cushman, William O'Regan
Utilising recent advances in incidence geometry for balls and tubes, and advances in sum-product theory in the discrete setting, we show that for and for any $A \s…