LIMIT SETS OF UNFOLDING PATHS IN OUTER SPACE

被引：0

作者：

Bestvina, Mladen ^{[1
]}

Gupta, Radhika ^{[2
]}

Tao, Jing ^{[3
]}

机构：

[1] Univ Utah, Dept Math, Salt Lake City, UT 84112 USA

[2] Tata Inst Fundamental Res, Sch Math, Mumbai 400005, India

[3] Univ Oklahoma, Dept Math, Norman, OK USA

来源：

JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU | 2024年 / 23卷 / 05期

基金：

美国国家科学基金会;

关键词：

free groups automorphisms; Outer space; ergodicity; groups acting on trees; IRREDUCIBLE AUTOMORPHISMS; LAMINATIONS; TREES; BOUNDARY; COMPLEX; ERGODICITY; GEODESICS; DYNAMICS; OUT(F-N); CURRENTS;

D O I：

10.1017/S1474748023000488

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct an unfolding path in Outer space which does not converge in the boundary, and instead it accumulates on the entire 1-simplex of projectivized length measures on a nongeometric arational ${\mathbb R}$ -tree T. We also show that T admits exactly two dual ergodic projective currents. This is the first nongeometric example of an arational tree that is neither uniquely ergodic nor uniquely ergometric.

引用

页码：2365 / 2403

页数：39

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