# 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} }

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.

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