Rates of mixing for the Weil–Petersson geodesic flow I: No rapid mixing in non-exceptional moduli spaces
نویسندگان
چکیده
منابع مشابه
Rates of Mixing for the Weil-petersson Geodesic Flow: Exponential Mixing in Exceptional Moduli Spaces
We establish exponential mixing for the geodesic flow φt : T S → T S of an incomplete, negatively curved surface S with cusp-like singularities of a prescribed order. As a consequence, we obtain that the Weil-Petersson flows for the moduli spaces M1,1 andM0,4 are exponentially mixing, in sharp contrast to the flows forMg,n with 3g − 3 + n > 1, which fail to be rapidly mixing. In the proof, we p...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2017
ISSN: 0001-8708
DOI: 10.1016/j.aim.2016.10.026