Distribution de points sur une sphère

Yves Colin de Verdière

Séminaire Bourbaki (1988-1989)

  • Volume: 31, page 83-93
  • ISSN: 0303-1179

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Colin de Verdière, Yves. "Distribution de points sur une sphère." Séminaire Bourbaki 31 (1988-1989): 83-93. <http://eudml.org/doc/110118>.

@article{ColindeVerdière1988-1989,
author = {Colin de Verdière, Yves},
journal = {Séminaire Bourbaki},
keywords = {amenable groups; Hecke operators; Ramanujan's conjecture; Drinfel'd's theorem; Ruzewisz-Banach problem; invariant mean; lower bound; operator discrepancy; optimally distributed sequences; spherical cap discrepancy; mean-square discrepancy; lattice method; evenly distributed sequences on the sphere; upper bound; eigenvalue; rotation; very well distributed sequences},
language = {fre},
pages = {83-93},
publisher = {Société Mathématique de France},
title = {Distribution de points sur une sphère},
url = {http://eudml.org/doc/110118},
volume = {31},
year = {1988-1989},
}

TY - JOUR
AU - Colin de Verdière, Yves
TI - Distribution de points sur une sphère
JO - Séminaire Bourbaki
PY - 1988-1989
PB - Société Mathématique de France
VL - 31
SP - 83
EP - 93
LA - fre
KW - amenable groups; Hecke operators; Ramanujan's conjecture; Drinfel'd's theorem; Ruzewisz-Banach problem; invariant mean; lower bound; operator discrepancy; optimally distributed sequences; spherical cap discrepancy; mean-square discrepancy; lattice method; evenly distributed sequences on the sphere; upper bound; eigenvalue; rotation; very well distributed sequences
UR - http://eudml.org/doc/110118
ER -

References

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  3. [CV1] Colin De Verdière Y.. — Minoration des sommes de valeurs propres d'un domaine et conjecture de Polya, Séminaire de théorie spectrale et géométrie, Chambéry- Grenoble, 3 (1984-1985), VI1-VI11. Zbl1002.58509
  4. [CV2] Colin De Verdière Y.. — Ergodicité et fonctions propres du laplacien, Comm. Math. Phys., 102 (1985), 497-502. Zbl0592.58050MR818831
  5. [D] Deligne P. — La conjecture de Weil I, Publ. Math. IHES, 43 (1974), 273-307. Zbl0287.14001MR340258
  6. [DK] Dodziuk J. — Difference equations, isoperimetric inequalities and transience of certain random walks, Trans. AMS, 284 (1984), 787-794. Zbl0512.39001MR743744
  7. [GF] Greenleaf. — Invariant means on topological groups, Van Nostrand, 1969. Zbl0174.19001
  8. [GV] Gromov M. — Structures métriques pour les variétés riemanniennes, rédigé par Lafontaine et Pansu, Cedic-Nathan, 1980. Zbl0509.53034MR682063
  9. [HW] Hardy G., Wright E..— An introduction to number theory, Oxford U.P., 1962. Zbl0020.29201JFM64.0093.03
  10. [K] Kesten A. — Symmetric random walks on groups, Trans. AMS, 92 (1959), 336-354. Zbl0092.33503MR109367
  11. [LPS1] Lubotzky A., Phillips R., Sarnak P..— Hecke operators and distributing points on the sphere I, CPAM, 39 (1987), 149-186. Zbl0619.10052MR861487
  12. [LPS2] Lubotzky A., Phillips R., Sarnak P..— Hecke operators and distributing points on the sphere II, CPAM, 40 (1987), 401-420. Zbl0648.10034MR890171
  13. [LPS3] Lubotzky A., Phillips R., Sarnak P..— Explicit expanders and the Ramanujan conjectures , Proc. 18th ACM, Symp. of theory of computing, (1986), 204-246. 
  14. [LPS4] Lubotzky A., Phillips R., Sarnak P.. — Ramanujan graphs , Combinatorica, 1986. Zbl0661.05035MR963118
  15. [OG] Ogg A. — Modular forms and Dirichlet series, Benjamin Inc. NY, 1969. Zbl0191.38101MR256993
  16. [SÖ] Szegö G. — Orthogonal polynomials, AMS Coll. Publ., vol.XXIII, 1939. Zbl0305.42011

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