Meditations on the Farey Fractal

Published 30 May 2021 in math.NT | (2105.14537v2)

Abstract: We study the paths in the Farey graph going from (1,0) to (0,1) , or the finite subtrees of the Stern-Brocot tree . We show they form an operad and isolate the "coronas", which are especially spiked paths. We show that {(x,y), gcd(x,y)=1 , x+y < R } is a corona.

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Authors (1)

Shai Haran

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