Starting from certain affine diffeomorphisms on infinite translation surfaces, we used end periodic maps to construct examples of pseudo-anosov affine maps on finite translation surfaces. This is joint work with Ahmad Rafiqi and Harry Baik.
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/3444
[3] http://www.mpim-bonn.mpg.de/node/3050