Meditations on the Farey Fractal

2021/05/30 by Haran, Shai · 1 citation
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2105.14537

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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