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arXiv · 2409.15591

Nonunique Ergodicity on the Boundary of Outer space

Mladen Bestvina·Elizabeth Field·Sanghoon Kwak
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Abstract

To an $\mathbb{R}$-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 $\mathbb{R}$-trees in the boundary of Outer space.

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Mladen Bestvina, Elizabeth Field, Sanghoon Kwak. 2024-09-23. Nonunique Ergodicity on the Boundary of Outer space. https://arxiv.org/abs/2409.15591

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