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
收藏
页码：2365 / 2403
页数：39
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