We prove polynomial decay of correlations for geodesic flows on a class of nonpositively curved surfaces where zero curvature only occurs along one closed geodesic. We also prove that various statistical limit laws, including the central limit theorem, are satisfied by this class of geodesic flows.

中文翻译：

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非正曲面的多项式相关性衰减

我们证明了一类非正曲面上测地线流的相关性多项式衰减，其中零曲率仅发生在一个闭合测地线上。我们还证明了各种统计极限定律，包括中心极限定理，都满足这类测地线流。