• Corpus ID: 9784864

# Some Connections between Falconer's Distance Set Conjecture and Sets of Furstenburg Type

@article{Katz2001SomeCB,
title={Some Connections between Falconer's Distance Set Conjecture and Sets of Furstenburg Type},
author={Nets Hawk Katz and Terence Tao},
journal={arXiv: Classical Analysis and ODEs},
year={2001}
}
• Published 23 January 2001
• Mathematics
• arXiv: Classical Analysis and ODEs
In this paper we investigate three unsolved conjectures in geomet- ric combinatorics, namely Falconer's distance set conjecture, the dimension of Furstenburg sets, and Erdos's ring conjecture. We formulate natural δ- discretized versions of these conjectures and show that in a certain sense that these discretized versions are equivalent.
101 Citations

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