A new proof for the residual set dimension of the apollonian packing
1984 ◽
Vol 96
(3)
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pp. 413-423
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AbstractLet (Dn) be the apollonian packing of a curvilinear triangle T, ρn the radius of Dn, E = T—U Dn the residual set, dim (E) its Hausdorff dimension. In this paper we give a new proof of the equality dim proved by Boyd [2]. Our technique is to construct a sequence of regular triangles covering E, and suitable measures μkcarried by E which allow us to apply a density theorem.
2016 ◽
Vol 435
(2)
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pp. 1273-1295
1985 ◽
Vol 39
(2)
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pp. 187-193
2000 ◽
Vol 122
(3)
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pp. 465-482
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