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math.GT2014★ 10 cited
Ergodic decompositions for folding and unfolding paths in Outer space
Hossein Namazi, Alexandra Pettet, Patrick Reynolds
We relate ergodic-theoretic properties of a very small tree or lamination to the behavior of folding and unfolding paths in Outer space that approximate it, and we obtain a criteri…
math.GT2013★ 2 cited
Constructing non-uniquely ergodic arational trees
Brian Mann, Patrick Reynolds
In this technical note, we adapt an idea of Gabai to construct non-uniquely ergodic, non-geometric, arational trees.