31 citations · 79 across the 14 of their papers we have counts for
15 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…
An algorithm to detect full irreducibility by bounding the volume of periodic free factors
Matt Clay, Johanna Mangahas, Alexandra Pettet
We provide an effective algorithm for determining whether an element of the outer automorphism group of a free group is fully irreducible. Our method produces a finite list which c…
Relative shapes of thick subsets of moduli space
James W. Anderson, Hugo Parlier, Alexandra Pettet
A closed hyperbolic surface of genus can be decomposed into pairs of pants along shortest closed geodesics and if these curves are sufficiently short (and with lengths uni…
Relative twisting in Outer space
Matt Clay, Alexandra Pettet
Subsurface projection has become indispensable in studying the geometry of the mapping class group and the curve complex of a surface. When the subsurface is an annulus, this proje…
On the fundamental group of Hom(Z^k,G)
Jose Manuel Gomez, Alexandra Pettet, Juan Souto
Let G be a compact Lie group, and consider the variety Hom(Z^k,G) of representations of Z^k into G. We view this as a based space by designating the trivial representation to be it…
On the Andreadakis-Johnson filtration of the automorphism group of a free group
F. R. Cohen, Aaron Heap, Alexandra Pettet
The Johnson filtration of the automorphism group of a free group is composed of those automorphisms which act trivially on nilpotent quotients of the free group. We compute cohomol…