English

Limit sets of unfolding paths in Outer space

Group Theory 2024-11-20 v1 Dynamical Systems Geometric Topology

Abstract

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 non-geometric arational R\mathbb{R}-tree T. We also show that T admits exactly two dual ergodic projective currents.

Keywords

Cite

@article{arxiv.2207.06992,
  title  = {Limit sets of unfolding paths in Outer space},
  author = {Mladen Bestvina and Radhika Gupta and Jing Tao},
  journal= {arXiv preprint arXiv:2207.06992},
  year   = {2024}
}

Comments

30 pages

R2 v1 2026-06-25T00:55:10.724Z