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.

引用

页码：127 / 162

页数：36

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