3 papers
math.DS2021
Minimizing entropy for translation surfaces
Paul Colognese, Mark Pollicott
In this note, we consider the entropy of unit area translation surfaces in the orbits of square tiled surfaces that are the union of squares, where the singulari…
math.DS2021
Volume growth for infinite graphs and translation surfaces
Paul Colognese, Mark Pollicott
In this note we give asymptotic estimates for the volume growth associated to suitable infinite graphs. Our main application is to give an asymptotic estimate for volume growth ass…
math.DS2021
The growth and distribution of large circles on translation surfaces
Paul Colognese, Mark Pollicott
We consider circles on a translation surface , consisting of points joined to a common center point by a geodesic of length . We show that as these circles dis…