Proves asymptotic holonomy formulas and harmonic map convergence to asymptotic cones in the SL(3,R) Hitchin component parametrized by cubic differentials, plus a compactification for triangle groups.
On the regularity of the M onge- A mp\`ere equation det ( ^ 2 u/ x_ i sx_ j )=F(x,u)
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Limits of Cubic Differentials and Buildings
Proves asymptotic holonomy formulas and harmonic map convergence to asymptotic cones in the SL(3,R) Hitchin component parametrized by cubic differentials, plus a compactification for triangle groups.