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Apr 30, 2020 at 7:12 comment added Adam Sheffer Somehow I did not see your question until now. In case it's still relevant, you can find both claims in the survey "Geometric incidences" by Pach and Sharir. You can also find more information in this blog post: adamsheffer.wordpress.com/2014/08/01/…
Mar 6, 2020 at 0:01 vote accept UserA
Jan 15, 2019 at 6:55 comment added Thomas Yang Hi, could you give a reference to "it is true for circles with the same radii", "There is a construction that gives $N^{2/3}|C|^{2/3}\log^{1/3}N$ incidences" and "The current best upper bound is about $N^{6/11}|C|^{9/11}$"? Thanks!
Apr 9, 2017 at 23:41 history answered Adam Sheffer CC BY-SA 3.0