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MR2163864 37A20 (11K50 37A45 37C15 37E05 37E35)
Marmi, S.; Moussa, P.; Yoccoz, J.-C. The cohomological equation for Roth-type interval exchange maps. J. Amer. Math. Soc. 18 (2005), no. 4, 823–872.
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