02-105 Lewis Bowen and Charles Radin
Optimally dense packings of hyperbolic space (435K, postscript) Mar 7, 02
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Abstract. 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 paper we extend an ergodic theorem of Nevo to provide an appropriate notion of optimally dense packings. Examples are given to illustrate various aspects of the density problem.

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