13 citations · 13 across the 1 of their papers we have counts for
3 papers
math.GT2014
Lipschitz Constants To Curve Complexes For Punctured Surfaces
Aaron D. Valdivia
We give asymptotic bounds for the optimal Lipschitz constants for the systole map from the Teichmuller space to the curve complex. We give similar results to those known for closed…
math.GT2013★ 13 cited
Asymptotic Translation Length in the Curve Complex
Aaron D. Valdivia
We show that when the genus and punctures of a surface are directly proportional by some rational number the minimal asymptotic translation length in the curve complex has behavior…
math.GT2010
Sequences of pseudo-Anosov mapping classes and their asymptotic behavior
Aaron D. Valdivia
We construct sequences of pseudo-Anosov mapping classes whose dilatations behave asymptotically like the inverse of the Euler characteristic of the surface they are defined on. The…