English

Nonunique Ergodicity on the Boundary of Outer space

Group Theory 2024-09-25 v1 Dynamical Systems Geometric Topology

Abstract

To an R\mathbb{R}-tree in the boundary of Outer space, we associate two simplices: the simplex of projective length measures, and the simplex of projective dual currents. For both kinds of simplices, we estimate the dimension of maximal simplices for arational R\mathbb{R}-trees in the boundary of Outer space.

Keywords

Cite

@article{arxiv.2409.15591,
  title  = {Nonunique Ergodicity on the Boundary of Outer space},
  author = {Mladen Bestvina and Elizabeth Field and Sanghoon Kwak},
  journal= {arXiv preprint arXiv:2409.15591},
  year   = {2024}
}

Comments

42 pages, 9 figures. Comments are welcome!