Rigidity of generalized Veech 1969/Sataev 1975 extensions of rotations

Sébastien Ferenczi, Pasacal Hubert

We look at $d$-point extensions of a rotation of angle $\alpha$ with $r$ marked points, generalizing the examples of Veech 1969 and Sataev 1975, together with the square-tiled interval…