Limit sets of unfolding paths in Outer space

Mladen Bestvina, Radhika Gupta, Jing Tao

Published 2022-07-14Version 1

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.