75 citations · 155 across the 19 of their papers we have counts for
19 papers
Standardly embedded train tracks and pseudo-Anosov maps with minimum expansion factor
Eriko Hironaka, Chi Cheuk Tsang
We show that given a fully-punctured pseudo-Anosov map whose punctures lie in at least two orbits under the action of , the expansion factor satisfies the ine…
The augmented deformation space of rational maps
Eriko Hironaka
The Epstein deformation space parameterizes marked rational maps with prescribed combinatorial and dynamical structure. For the family of quadratic rational maps with a periodic cr…
A disconnected deformation space of rational maps
Eriko Hironaka, Sarah Koch
Let be a postcritically finite rational map with postcritical set . William Thurston showed that induces a holomorphic pullback map $…
On Coxeter mapping classes and fibered alternating links
Eriko Hironaka, Livio Liechti
Alternating-sign Hopf plumbing along a tree yields fibered alternating links whose homological monodromy is, up to a sign, conjugate to some alternating-sign Coxeter transformation…
Small dilatation pseudo-Anosov mapping classes and short circuits on train track automata
Eriko Hironaka
This note gives a brief survey of the minimum dilatation problem for pseudo-Anosov mapping classes, and the first explicit train track description of an infinite family of pseudo-A…
Digraphs and cycle polynomials for free-by-cyclic groups
Yael Algom-Kfir, Eriko Hironaka, Kasra Rafi
Let $ϕ\in \mbox{Out}(F_n)$ be a free group outer automorphism that can be represented by an expanding, irreducible train-track map. The automorphism determines a free-by-cyclic…