Harmonic measures for distributions with finite support on the mapping class group are singular
Harmonic measures for distributions with finite support on the mapping class group are singular
复制标题
映射类群上具有有限支持的分布的调和测度是奇异的
DOI：
10.1215/00127094-2430368
复制
发表时间：
2009
期刊：
影响因子：
--
通讯作者：
Vaibhav Gadre
中科院分区：
文献类型：
--
作者：
Vaibhav Gadre
Kaimanovich和Masur表明，一个随机行走的映射类组的初始分布与有限的第一时刻，其支持产生一个非初等子群，几乎肯定收敛到一个点的空间PMF的投影测量叶理的表面上。这定义了PMF上的谐波测量。在这里，我们表明，当初始分布有有限的支持，相应的调和措施是奇异的自然勒贝格措施PMF。
Kaimanovich and Masur showed that a random walk on the mapping class group for an initial distribution with finite first moment and whose support generates a non-elementary subgroup, converges almost surely to a point in the space PMF of projective measured foliations on the surface. This defines a harmonic measure on PMF. Here, we show that when the initial distribution has finite support, the corresponding harmonic measure is singular with respect to the natural Lebesgue measure on PMF.
关于火车轨道分裂序列
影响因子：
2.5
作者：
Masur H
通讯作者：
Masur H