论文标题
双曲线组的马丁边界
The Martin boundary of an extension by a hyperbolic group
论文作者
论文摘要
我们证明了马尔可夫地图的双曲线组$ g $延伸的统一的ancona-gouëzel-lalley不平等现象，这允许推断该组和马丁边界的视觉边界是同等的。随着应用，我们确定了凸面相结合CAT（-1） - 具有覆盖组的视觉边界的常规覆盖的最小整合量度，前提是该组是双曲线。
We prove uniform Ancona-Gouëzel-Lalley inequalities for an extension by a hyperbolic group $G$ of a Markov map which allows to deduce that the visual boundary of the group and the Martin boundary are Hölder equivalent. As application, we identify the set of minimal conformal measures of a regular cover of a convex-cocompact CAT(-1)-manifold with the visual boundary of the covering group, provided that this group is hyperbolic.
