entropy of geodesic flows on subspaces of hecke surface with arithmetic code
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abstract
there are dierent 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 innite alphabet. then we will compare the topological complexity of them by computing their topological entropies.
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Journal title:
journal of mahani mathematical research centerجلد ۵، شماره ۱، صفحات ۱-۷
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