17 citations · 53 across the 27 of their papers we have counts for
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math.GT1999
Simple curves on surfaces
Igor Rivin
We show that the number of simple closed geodesics of length bounded by L on a hyperbolic surface of genus g with c cusps and b boundary components grows roughly like L^{6g+2b+2c-6…
math.GT1999
Combinatorial optimization in geometry
Igor Rivin
We study the moduli space of euclidean structures with cone points on a surface, and describe a decomposition into cells each of which corresponds to a given combinatorial type of…