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math.GT2017
Classifying complex geodesics for the Carathéodory metric on low-dimensional Teichmüller spaces
Dmitri Gekhtman, Vladimir Markovic
It was recently shown that the Carathéodory and Teichmüller metrics on the Teichmüller space of a closed surface do not coincide. On the other hand, Kra earlier showed that the met…
math.CV2017
Asymptotics of the translation flow on holomorphic maps out of the poly-plane
Dmitri Gekhtman
We study the family of holomorphic maps from the polydisk to the disk which restrict to the identity on the diagonal. In particular, we analyze the asymptotics of the orbit of such…