10 citations · 14 across the 6 of their papers we have counts for
7 papers
Immersions of Pants into a Fixed Hyperbolic Surface
Lewis Bowen
Exploiting a relationship between closed geodesics on a generic closed hyperbolic surface S and a certain unipotent flow on the product space T_1(S) x T_1(S), we obtain a local asy…
Weak Forms of the Ehrenpreis Conjecture and the Surface Subgroup Conjecture
Lewis Bowen
We prove the following: 1. Let epsilon>0 and let S_1,S_2 be two closed hyperbolic surfaces. Then there exists locally-isometric covers S'_i of S_i (for i=1,2) such that there is a…
Sphere Packings in Hyperbolic Space: Periodicity and Continuity
Lewis Bowen
This paper is being withdrawn because an error was discovered in lemma 4.3. Although the rest of the paper appears to be correct, this error invalidates the proof of theorem 3.1 an…
Periodicity and Circle Packing in the Hyperbolic Plane
Lewis Bowen
We prove that given a fixed radius , the set of isometry-invariant probability measures supported on ``periodic'' radius -circle packings of the hyperbolic plane is dense in…
Couplings of Uniform Spanniing Forests
Lewis Bowen
We prove the existence of an automorphism-invariant coupling for the wired and the free uniform spanning forests on Cayley graphs of finitely generated residually amenable groups.
Optimally dense packings of hyperbolic space
Lewis Bowen, Charles Radin
In previous work a probabilistic approach to controlling difficulties of density in hyperbolic space led to a workable notion of optimal density for packings of bodies. In this pap…