On the ergodicity of flat surfaces of finite area
نویسندگان
چکیده
منابع مشابه
On the Ergodicity of Flat Surfaces of Finite Area
We prove some ergodic theorems for flat surfaces of finite area. The first result concerns such surfaces whose Teichmüller orbits are recurrent to a compact set of SL(2,R)/SL(S, α), where SL(S, α) is the Veech group of the surface. In this setting, this means that the translation flow on a flat surface can be renormalized through its Veech group. This result applies in particular to flat surfac...
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ژورنال
عنوان ژورنال: Geometric and Functional Analysis
سال: 2014
ISSN: 1016-443X,1420-8970
DOI: 10.1007/s00039-014-0269-4