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arXiv · 2207.06992

Limit sets of unfolding paths in Outer space

Mladen Bestvina·Radhika Gupta·Jing Tao
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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 $\mathbb{R}$-tree T. We also show that T admits exactly two dual ergodic projective currents.

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Mladen Bestvina, Radhika Gupta, Jing Tao. 2022-07-14. Limit sets of unfolding paths in Outer space. https://doi.org/10.1017/s1474748023000488

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