• Corpus ID: 239009823

Minimizing entropy for translation surfaces

  title={Minimizing entropy for translation surfaces},
  author={Paul Colognese and Mark Pollicott},
In this note we consider the entropy [5] of unit area translation surfaces in the SL(2,R) orbits of square tiled surfaces that are the union of squares, where the singularities occur at the vertices and the singularities have a common cone angle. We show that the entropy over such orbits is minimized at those surfaces tiled by equilateral triangles where the singularities occur precisely at the vertices. 

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