46 citations · 102 across the 7 of their papers we have counts for
7 papers
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…
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.
Reducing systems for very small trees
Patrick Reynolds
We study very small trees from the point of view of reducing systems of free factors, which are analogues of reducing systems of curves for a surface lamination; a non-trivial, pro…
The boundary of the complex of free factors
Mladen Bestvina, Patrick Reynolds
We give a description of the boundary of a complex of free factors that is analogous to E. Klarreich's description of the boundary of a curve complex. The argument uses the geometr…
Indecomposable -trees and minimal laminations
Thierry Coulbois, Arnaud Hilion, Patrick Reynolds
We extend the techniques of [CH] to build an inductive procedure for studying actions in the boundary of the Culler-Vogtmann Outer Space, the main novelty being an adaptation of he…
Dynamics of Irreducible Endomorphisms of
Patrick Reynolds
We consider the class non-surjective irreducible endomorphisms of the free group . We show that such an endomorphism is topologically represented by a simplicial immersion…