36 citations · 193 across the 49 of their papers we have counts for
5 papers · 1 filter
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This paper is being withdrawn because an error was discovered in lemma 4.3.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…
Uniqueness and Symmetry in Problems of Optimally Dense Packings
Lewis Bowen, Charles Holton, Charles Radin +1
We analyze the general problem of determining optimally dense packings, in a Euclidean or hyperbolic space, of congruent copies of some fixed finite set of bodies. We are strongly…
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…
On the existence of completely saturated packings and completely reduced covering
Lewis Bowen
A packing by a body is collection of congruent copies of (in either Euclidean or hyperbolic space) so that no two copies intersect nontrivially in their interiors. A coveri…