ENTROPY OF GEODESIC FLOWS ON SUBSPACES OF HECKE SURFACE WITH ARITHMETIC CODE

There are di erent ways to code the geodesic flows on surfaces with negative curvature. Such code spaces give a useful tool to verify the dynamical properties of geodesic flows. Here we consider special subspaces of geodesic flows on Hecke surface whose arithmetic codings varies on a set with in nite alphabet. Then we will compare the topological complexity of them by computing their topological entropies.

Keywords:

topological entropy , arithmetic coding , Hecke surface