5 citations · 5 across the 2 of their papers we have counts for
4 papers
Super-exponential 2-dimensional Dehn functions
Josh Barnard, Noel Brady, Pallavi Dani
We produce examples of groups of type F_3 with 2-dimensional Dehn functions of the form exp^n(x) (a tower of exponentials of height n), where n is any natural number.
Bounding surface actions on hyperbolic spaces
Josh Barnard
We give a diameter bound for fundamental domains for isometric actions of the fundamental group of a closed hyperbolic surface on a delta-hyperbolic space, where the bound depends…
Super-exponential distortion of subgroups of CAT(-1) groups
Josh Barnard, Noel Brady, Pallavi Dani
We construct 2-dimensional CAT(-1) groups which contain free subgroups with arbitrary iterated exponential distortion, and with distortion higher than any iterated exponential.
Geometrically infinite surfaces in 3-manifolds with hyperbolic fundamental group
Joshua B. Barnard
We prove a partial generalization of Bonahon's tameness result to surfaces inside irreducible 3-manifolds with hyperbolic fundamental group. Bonahon's result states that geometrica…