# Minimizing entropy for translation surfaces

@inproceedings{Colognese2021MinimizingEF, title={Minimizing entropy for translation surfaces}, author={Paul Colognese and Mark Pollicott}, year={2021} }

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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