Cohomological equation and local conjugacy class of Diophantine interval exchange maps

2017/12/07 by Forni, Giovanni, Marmi, Stefano, Matheus, Carlos
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1712.02509

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.

Related

• On the cohomological equation for interval exchange maps
• The cohomological equation for Roth type interval exchange maps
• Hölder regularity of the solutions of the cohomological equation for Roth type interval exchange maps
• Cohomological equations for linear involutions
• Linearization of generalized interval exchange maps