@article{TSG_2000-2001__19__165_0, author = {Jean-Louis Verger-Gaugry}, title = {Remarks on sphere packings, clusters and {Hales} {Ferguson} theorem}, journal = {S\'eminaire de th\'eorie spectrale et g\'eom\'etrie}, pages = {165--177}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {19}, year = {2000-2001}, doi = {10.5802/tsg.323}, mrnumber = {1909081}, zbl = {1007.52011}, language = {en}, url = {https://proceedings.centre-mersenne.org/articles/10.5802/tsg.323/} }
TY - JOUR AU - Jean-Louis Verger-Gaugry TI - Remarks on sphere packings, clusters and Hales Ferguson theorem JO - Séminaire de théorie spectrale et géométrie PY - 2000-2001 SP - 165 EP - 177 VL - 19 PB - Institut Fourier PP - Grenoble UR - https://proceedings.centre-mersenne.org/articles/10.5802/tsg.323/ DO - 10.5802/tsg.323 LA - en ID - TSG_2000-2001__19__165_0 ER -
%0 Journal Article %A Jean-Louis Verger-Gaugry %T Remarks on sphere packings, clusters and Hales Ferguson theorem %J Séminaire de théorie spectrale et géométrie %D 2000-2001 %P 165-177 %V 19 %I Institut Fourier %C Grenoble %U https://proceedings.centre-mersenne.org/articles/10.5802/tsg.323/ %R 10.5802/tsg.323 %G en %F TSG_2000-2001__19__165_0
Jean-Louis Verger-Gaugry. Remarks on sphere packings, clusters and Hales Ferguson theorem. Séminaire de théorie spectrale et géométrie, Volume 19 (2000-2001), pp. 165-177. doi : 10.5802/tsg.323. https://proceedings.centre-mersenne.org/articles/10.5802/tsg.323/
[A] H. Akrout, Systoles généralisées, preprint, 2001.
[B] C. Bavard, Systole et invariant d'Hermite, J. reine und angew. Math., 482, ( 1997), 93-120. | MR | Zbl
[CS] J.H. Conway AND N. J. A. Sloane, Sphere packings, lattices and groups, Springer-Verlag, 1988. | MR | Zbl
[FT] L. Fejes-Tóth, Über einen geometrischen Satz, Math. Z., 46, ( 1940), 79-83. | MR
[F] S.L.P. Ferguson, Sphere packings V, preprint, 1999.. | MR
[GL] P.M. GruberAND C.G. Lerkkerkerker, Geometry of Numbers, North-Holland, ( 1987). | MR | Zbl
[H] T.C. Hales, Cannonballs and Honeycombs, Notices of the AMS, 47, n° 4, ( 2000), 440-449. | MR | Zbl
[H2] T.C. Hales, The status of the Kepler conjecture, The Mathematical Intelligences 16, n° 3, ( 1994), 44-58. | MR | Zbl
[H3] T.C. Hales, Sphere packings 1, Disc. Comp. Geom. 17, ( 1997), 1-51. | MR | Zbl
[H4] T.C. Hales, Sphere packings II, Disc. Comp. Geom. 18, ( 1997), 135-149. | MR | Zbl
[Hs] W.-Y. Hsiang, On the sphere packing problem and the proof of Kepler's conjecture, Int. J. Math., 93, ( 1993), 739-831. | MR | Zbl
[M] J. Martinet, Les réseaux parfaits des espaces euclidiens, Masson, 1996. | MR | Zbl
[MVG] G. Muraz AND J.-L. Verger-Gaugry, A compactness theorem for the set of uniformly discrete sets and its subsets: lattices, clusters, model sets and Delone sets, preprint, 2001.
[O] J. Oesterlé, Densité maximale des empilements de sphères en dimension 3 [d'après Thomas C. Hales et Samuel P. Ferguson], Séminaire Bourbaki, n° 863, ( 1998-99), 405-413. | Numdam | MR | Zbl
[O1] J. Oesterlé, Empilements de sphères, Séminaire Bourbaki, n° 727, ( 1989-90), 375-397; SMF Astérisque 189-190, ( 1990). | Numdam | MR | Zbl
[R] C.A. Rogers, Packing and covering, Cambridge University Press, 1964. | MR | Zbl
[T] A. Thue, Über die dichteste Zusammenstellung von kongruenten Kreisen in einer Ebene, Skr. Vidensk-Selsk., Christ. N° 1, ( 1910), 1-9. | JFM
[VG] J.-L. Verger-Gaugry, On a generalization of the Hermite constant, Periodica Mathematica Hungarica, 34, ( 1997), 153-164. | MR | Zbl
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