论文标题
一些关于随机散步小组的旧事实和基本事实
Some old and basic facts about random walks on groups
论文作者
论文摘要
本说明包含旧的，而不是关于在小组上随机步行的新结果，这可以用作作者专着的小补充：``无限图和团体上的随机步行''（剑桥大学，Press。2000/2009）。首先，我们对随机步行的周期性类别展示了基本练习。第二个主题涉及一些关于随机步行的比率限制的基础知识，这些基础是在1970年代在德语中发表的``仅'''。
This note contains old instead of new results about random walks on groups, which may serve as a small supplement to the author's monograph ``Random Walks on Infinite Graphs and Groups'' (Cambridge Univ. Press 2000/2009). First, we exhibit a basic exercise on the periodicity classes of random walk. The second topic concerns some basics on ratio limits for random walks, which had been published ``only'' in German in the 1970ies.
