Geodesic
Dimension estimates on circular (s,t)-Furstenberg sets
Jiayin Liu1
1University of Jyväskylä, Department of Mathematics and Statistics
Annales Fennici Mathematici, Tome 48 (2023) no. 1, pp. 299-324

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In this paper, we show that circular $(s,t)$-Furstenberg sets in $\mathbb R^2$ have Hausdorff dimension at least   $\max\{\tfrac{t}3+s,(2t+1)s-t\}$ for all $0.   This result extends the previous dimension estimates on circular Kakeya sets by Wolff.
DOI : 10.54330/afm.128073
Keywords: Furstenberg set, circular Furstenberg set, Hausdorff dimension

Jiayin Liu  1

1 University of Jyväskylä, Department of Mathematics and Statistics 
Jiayin Liu. Dimension estimates on circular (s,t)-Furstenberg sets. Annales Fennici Mathematici, Tome 48 (2023) no. 1, pp. 299-324. doi: 10.54330/afm.128073
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