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.
Cohomological equation and local conjugacy class of Diophantine interval exchange maps
Forni, Giovanni;Marmi, Stefano;
2019
Abstract
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.File in questo prodotto:
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