2 problems

Thurston's conjecture on expansion constants of outer automorphisms and inverses
arXiv@arxiv
Thurston's conjecture. Every pair of weak Perron numbers greater than $1$ is a pair of expansion constants for an outer automorphism and its inverse.
Conjectureopenfree-groups outer-automorphisms train-track-maps
2
Non-conjugacy and abundance conjecture for fully irreducible elements of $Out(F_3)$
arXiv@arxiv
Non-conjugacy and abundance conjecture. Most of these elements $\varphi_w$ are pairwise non-conjugate in $Out(F_3)$ , and this method yields doubly exponentially many fully irreduci…
Conjectureopenfree-groups outer-automorphism-groups train-track-maps
2

Thurston's conjecture on expansion constants of outer automorphisms and inverses