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Dimension Estimates on Circular $(s,t)$-Furstenberg Sets

Published 4 Apr 2022 in math.CA and math.MG | (2204.01770v2)

Abstract: In this paper, we show that circular $(s,t)$-Furstenberg sets in $\mathbb R2$ have Hausdorff dimension at least $$\max{\frac{t}3+s,(2t+1)s-t} \text{ for all $0<s,t\le 1$}.$$ This result extends the previous dimension estimates on circular Kakeya sets by Wolff.

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Authors (1)

  1. Jiayin Liu 

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