Continued Fraction Algorithms for Interval Exchange Maps: an Introduction ?

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Explicit Jenkins-Strebel representatives of all strata of Abelian and quadratic differentials (2007, methodology): “This technique was developed and applied in [3, 4, 5, 7, 19, 32], and in other papers; see also surveys [29, 30, 31, 33].”
Ergodic Theory of Interval Exchange Maps (2006, methodology): “Besides the original papers mentioned previously, we have also benefited from the presentations of Marmi, Moussa, Yoccoz [16,24].”
Interactions between dynamics, arithmetics and combinatorics: the good, the bad, and the ugly (2005, methodology): “A further acceleration of Zorich induction is given in [MAR-MOU- YOC ] by grouping all the steps corresponding to sets of d 1 values of aen; it is then used to extend to interval exchange maps some important properties of rotations concerning the smoothing of cocycles.”