Random Sphere Packing
Tóm tắt
We study probabilistic characteristics of random packings of a Euclidean space. The paper was initiated by [1], where typical properties of random lattices and random packings of a Euclidean space were studied. We use other (simpler and more precise) ways to obtain estimates on parameters that characterize random packings and consider the possibility of extending the results to L-packings.
Tài liệu tham khảo
Shlosman, S. and Tsfasman, M., Random Lattices and Random Sphere Packings: Typical Properties, Moscow Math. J., 2001, vol. 1, no.1, pp. 73–89.
Blinovsky, V., Asymptotic Combinatorial Coding Theory, Boston: Kluwer, 1997.
Blachman, M. and Few, L., Multiple Packing of Spherical Caps, Mathematika, 1963, vol. 10, pp. 84–88.
Blinovsky, V., Multiple Packing of the Euclidean Sphere, IEEE Trans. Inform. Theory, 1999, vol. 45, no.4, pp. 1334–1337.