26 citations · 54 across the 12 of their papers we have counts for
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math.GT2010
Bounded combinatorics and the Lipschitz metric on Teichmüller space
Anna Lenzhen, Kasra Rafi, Jing Tao
Considering the Teichmüller space of a surface equipped with Thurston's Lipschitz metric, we study geodesic segments whose endpoints have bounded combinatorics. We show that these…
math.AC2010
New solutions to the Hurwitz problem on square identities
Anna Lenzhen, Sophie Morier-Genoud, Valentin Ovsienko
The Hurwitz problem of composition of quadratic forms, or of "sum of squares identity" is tackled with the help of a particular class of -graded non-associative a…
math.GT2010
Length of a curve is quasi-convex along a Teichmuller geodesic
Anna Lenzhen, Kasra Rafi
We show that for every simple closed curve α, the extremal length and the hyperbolic length of αare quasi-convex functions along any Teichmuller geodesic. As a corollary, we conclu…