Random trees in the boundary of outer space

被引：1
作者：
Kapovich, Ilya [1 ]
Maher, Joseph [2 ,3 ]
Pfaff, Catherine [4 ]
Taylor, Samuel J. [5 ]
机构：
[1] CUNY, Dept Math & Stat, Hunter Coll, New York, NY 10031 USA
[2] CUNY, Coll Staten Isl, Dept Math, Staten Isl, NY USA
[3] CUNY, Grad Ctr, Staten Isl, NY USA
[4] Queens Univ, Dept Math & Stat, Kingston, ON, Canada
[5] Temple Univ, Dept Math, Philadelphia, PA 19122 USA
来源：
GEOMETRY & TOPOLOGY | 2022年 / 26卷 / 01期
基金：
美国国家科学基金会;
关键词：
AUTOMORPHISMS; LAMINATIONS; EXTENSIONS; GEODESICS; COMPLEX;
D O I：
10.2140/gt.2022.26.127
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that for the harmonic measure associated to a random walk on Out(F-r) satisfying some mild conditions, a typical tree in the boundary of Outer space is trivalent and nongeometric. This result answers a question of Mladen Bestvina.
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页码：127 / 162
页数：36
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