4 citations · 4 across the 6 of their papers we have counts for
7 papers
Conformal dimension bounds for certain Coxeter group Bowditch boundaries
Elizabeth Field, Radhika Gupta, Robert Alonzo Lyman +1
We give upper and lower bounds on the conformal dimension of the Bowditch boundary of a Coxeter group with defining graph a complete graph and edge labels at least three. The lower…
Nonunique Ergodicity on the Boundary of Outer space
Mladen Bestvina, Elizabeth Field, Sanghoon Kwak
To an -tree in the boundary of Outer space, we associate two simplices: the simplex of projective length measures, and the simplex of projective dual currents. For both…
A lower bound on volumes of end-periodic mapping tori
Elizabeth Field, Autumn Kent, Christopher Leininger +1
We provide a lower bound on the volume of the compactified mapping torus of a strongly irreducible end-periodic homeomorphism f. This result, together with work of Field, Kim, Lein…
Stable commutator length on big mapping class groups
Elizabeth Field, Priyam Patel, Alexander J. Rasmussen
We study stable commutator length on mapping class groups of certain infinite-type surfaces. In particular, we show that stable commutator length defines a continuous function on t…
Stable specific torsion length and periodic mapping classes
Elizabeth Field, Yvon Verberne
We show that for any periodic mapping class, there is some power which maps a nonseparating, simple closed curve to a distinct, disjoint nonseparating curve. As an application of t…
End-periodic homeomorphisms and volumes of mapping tori
Elizabeth Field, Heejoung Kim, Christopher Leininger +1
Given an irreducible, end-periodic homeomorphism f of a surface S with finitely many ends, all accumulated by genus, the mapping torus is the interior of a compact, irreducible, at…
Trees, dendrites, and the Cannon-Thurston map
Elizabeth Field
When 1 -> H -> G -> Q -> 1 is a short exact sequence of three infinite, word-hyperbolic groups, Mahan Mitra (Mj) has shown that the inclusion map from H to G extends continuously t…