3 years ago

Cohomological equation and local conjugacy class of Diophantine interval exchange maps.

Giovanni Forni, Stefano Marmi, Carlos Matheus

We extend some results of Marmi--Moussa--Yoccoz on the cohomological equations and local conjugacy classes of interval exchange maps of restricted Roth type.

In particular, we answer a question of Krikorian about the codimension of the local conjugacy class of self-similar interval exchange maps associated to the Eierlegende Wollmilchsau and the Ornithorynque.

Publisher URL: http://arxiv.org/abs/1712.02509

DOI: arXiv:1712.02509v2

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