标题： 非紧流形上夹逼负曲率的Gibbs测度的有限性 显示英文标题

标题： Finiteness of gibbs measures on noncompact manifolds with pinched negative curvature

摘要： 我们通过几种准则来表征负曲率流形上测地流的Gibbs测度的有限性，这些准则类似于Sarig为无限字母上的符号动力系统提出的准则。 作为应用，我们恢复了Dal'bo-Otal-Peigné关于几何有限双曲流形上Bowen-Margulis测度有限性的准则，以及Peigné关于具有有限Bowen-Margulis测度的几何无限流形的例子。 这些准则在未来应有助于找到更多具有有限Gibbs测度的例子。 显示英文摘要

摘要： We characterize the finiteness of Gibbs measures for geodesic flows on negatively curved manifolds by several criteria, analogous to those proposed by Sarig for symbolic dynamical systems over an infinite alphabet. As an application, we recover Dal'bo-Otal-Peign{\'e} criterion of finiteness for the Bowen-Margulis measure on geometrically finite hyperbolic manifolds, as well as Peign{\'e}' examples of gemetrically infinite manifolds having a finite Bowen-Margulis measure. These criteria should be useful in the future to find more examples with finite Gibbs measures.