36 citations · 193 across the 49 of their papers we have counts for
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math.MG2003
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This paper is being withdrawn because an error was discovered in lemma 4.3.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…
math.MG2003★ 4 cited
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…
math.MG2003★ 1 cited
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…