11 citations · 11 across the 3 of their papers we have counts for
8 papers
Uniformly exponential growth and mapping class groups of surfaces
James W. Anderson, Javier Aramayona, Kenneth J. Shackleton
We show that the mapping class group of an orientable finite type surface has uniformly exponential growth, as well as various closely related groups. This provides further evidenc…
A simple criterion for non-relative hyperbolicity and one-endedness of groups
James W. Anderson, Javier Aramayona, Kenneth J. Shackleton
We give a combinatorial criterion that implies both the non-strong relative hyperbolicity and the one-endedness of a finitely generated group. We use this to show that many importa…
Conformal measures associated to ends of hyperbolic n-manifolds
James W. Anderson, Kurt Falk, Pekka Tukia
Let Gamma be a non-elementary Kleinian group acting on the closed n-dimensional unit ball and assume that its Poincare series converges at the exponent alpha. Let M_Gamma be the Ga…
The minimal entropy problem for 3-manifolds with zero simplicial volume
James W. Anderson, Gabriel P. Paternain
We consider the minimal entropy problem, namely the question of whether there exists a smooth metric of minimal entropy, for certain classes of 3-manifolds. Among other resulsts, w…
Commensurability and locally free Kleinian groups
James W. Anderson
We show that there exist infinitely many commensurability classes of finite volume hyperbolic 3-manifolds whose fundamental group contains a subgroup which is locally free but not…
Cores of hyperbolic 3-manifolds and limits of Kleinian groups II
James W. Anderson, Richard D. Canary
Troels Jorgensen conjectured that the algebraic and geometric limits of an algebraically convergent sequence of isomorphic Kleinian groups agree if there are no new parabolics in t…