4 papers
Conformal dimension bounds, Pontryagin sphere boundaries, and algebraic fibering of right-angled Coxeter groups
Christopher H. Cashen, Pallavi Dani, Kevin Schreve +1
We introduce a graph-theoretic condition, called --branching, that ensures a combinatorial round tree with controlled branching parameters can be quasi-isometrically embedde…
Visual metrics on boundaries of hyperbolic spaces
Emily Stark
This is an expository article on visual metrics on boundaries of hyperbolic metric spaces. We discuss the construction of visual metrics, quasisymmetries and their invariants, Haus…
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…
Failure of quasi-isometric rigidity for infinite-ended groups
Nir Lazarovich, Emily Stark
We prove that an infinite-ended group whose one-ended factors have finite-index subgroups and are in a family of groups with a nonzero multiplicative invariant is not quasi-isometr…