CRM: Centro De Giorgi
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School on Hyperbolic Dynamics

poster: Properties of the code space for geodesic flows on ‎surfaces ‎with‎ constant negative curvature

speaker: Sanaz Lamei (University of Guilan)

abstract: The geodesic flows on surfaces with constant negative curvature have rich dynamics. Hoph proved that geodesic flows on modular surface are ergodic. One of the tools to extract other dynamical behavior of such flows is to correspond a sequence of non-zero integers to each flow and verify the properties of the obtained space. Here, we introduce an algorithm to find the geometric code of the geodesic flows on modular ‎surface. W‎e give some conditions on which a sequence of non-zero integers is realized as a geodesic ‎flow.‎


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