메뉴 건너뛰기




Volumn 19, Issue 1, 1997, Pages 5-11

Distributing many points on a sphere

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0031542184     PISSN: 03436993     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF03024331     Document Type: Article
Times cited : (997)

References (26)
  • 1
    • 0002065545 scopus 로고
    • On the sum of distances between N points on a sphere
    • R. Alexander, On the sum of distances between N points on a sphere, Acta Math. Acad. Sci. Hungar. 23 (1972), 443-448.
    • (1972) Acta Math. Acad. Sci. Hungar. , vol.23 , pp. 443-448
    • Alexander, R.1
  • 3
    • 84974189036 scopus 로고
    • Sums of distances between points on a sphere - An application of the theory of irregularities of distribution to discrete geometry
    • J. Beck, Sums of distances between points on a sphere - an application of the theory of irregularities of distribution to discrete geometry, Mathematika 31 (1984), 33-41.
    • (1984) Mathematika , vol.31 , pp. 33-41
    • Beck, J.1
  • 4
    • 21344487779 scopus 로고
    • Equilibrium configurations of particles on a sphere: The case of logarithmic interactions
    • B. Bergersen, D. Boal, and P. Palffy-Muhoray, Equilibrium configurations of particles on a sphere: the case of logarithmic interactions, J. Phys. A: Math. Gen. 27 (1994), 2579-2586.
    • (1994) J. Phys. A: Math. Gen. , vol.27 , pp. 2579-2586
    • Bergersen, B.1    Boal, D.2    Palffy-Muhoray, P.3
  • 5
    • 0040314609 scopus 로고
    • Groups and the buckyball
    • Lie Theory and Geometry (J.-L. Brylinski, R. Brylinski, V. Guillemin and V. Kac, eds.), Boston: Birkhäuser
    • F. R. K. Chung, B. Kostant, and S. Sternberg, Groups and the buckyball, in Lie Theory and Geometry (J.-L. Brylinski, R. Brylinski, V. Guillemin and V. Kac, eds.), Progress in Mathematics No. 123, Boston: Birkhäuser (1994), pp. 97-126.
    • (1994) Progress in Mathematics , vol.123 , pp. 97-126
    • Chung, F.R.K.1    Kostant, B.2    Sternberg, S.3
  • 8
    • 84972549267 scopus 로고
    • On the distribution of Fekete points
    • B. E. J. Dahlberg, On the distribution of Fekete points, Duke Math. J. 45 (1978), 537-542.
    • (1978) Duke Math. J. , vol.45 , pp. 537-542
    • Dahlberg, B.E.J.1
  • 10
    • 0001560001 scopus 로고
    • Equilibrium configurations of N equal charges on a sphere
    • T. Erber and G. M. Hockney, Equilibrium configurations of N equal charges on a sphere, J. Phys. A: Math. Gen. 24 (1991), L1369-L1377.
    • (1991) J. Phys. A: Math. Gen. , vol.24
    • Erber, T.1    Hockney, G.M.2
  • 11
    • 22244434698 scopus 로고
    • Comment on "method of constrained global optimization,"
    • T. Erber and G. M. Hockney, Comment on "Method of constrained global optimization," Phys. Rev. Lett. 74 (1995), 1482.
    • (1995) Phys. Rev. Lett. , vol.74 , pp. 1482
    • Erber, T.1    Hockney, G.M.2
  • 12
    • 0001579093 scopus 로고
    • Energies and spacings of point charges on a sphere
    • L. Glasser and A. G. Every, Energies and spacings of point charges on a sphere, J. Phys. A: Math. Gen. 25 (1992), 2473-2482.
    • (1992) J. Phys. A: Math. Gen. , vol.25 , pp. 2473-2482
    • Glasser, L.1    Every, A.G.2
  • 13
    • 0001211270 scopus 로고
    • Lagerung von punkten auf der kugel
    • W. Habicht and B. L. van der Waerden, Lagerung von Punkten auf der Kugel, Math. Ann. 123 (1951), 223-234.
    • (1951) Math. Ann. , vol.123 , pp. 223-234
    • Habicht, W.1    Van Der Waerden, B.L.2
  • 14
    • 0030528002 scopus 로고    scopus 로고
    • McLaren's improved snub cube and other new spherical designs in three dimensions
    • R. H. Hardin and N. J. A. Sloane, McLaren's improved snub cube and other new spherical designs in three dimensions, Discr. Comp. Geom. 15 (1996), 429-442.
    • (1996) Discr. Comp. Geom. , vol.15 , pp. 429-442
    • Hardin, R.H.1    Sloane, N.J.A.2
  • 15
    • 0011646886 scopus 로고
    • Chebyshev-type quadratures: Use of complex analysis and potential theory
    • (P. M. Gauthier and G. Sabidussi, eds.), Dordrecht: Kluwer
    • J. Korevaar, Chebyshev-type quadratures: use of complex analysis and potential theory, in: Complex Potential Theory (P. M. Gauthier and G. Sabidussi, eds.), Dordrecht: Kluwer (1994), 325-364.
    • (1994) Complex Potential Theory , pp. 325-364
    • Korevaar, J.1
  • 16
    • 0006072781 scopus 로고
    • Spherical Faraday cage for the case of equal point charges and Chebyshev-type quadrature on the sphere
    • J. Korevaar and J. L. H. Meyers, Spherical Faraday cage for the case of equal point charges and Chebyshev-type quadrature on the sphere, Integral Transforms and Special Functions 1 (1993), 105-117.
    • (1993) Integral Transforms and Special Functions , vol.1 , pp. 105-117
    • Korevaar, J.1    Meyers, J.L.H.2
  • 17
    • 85033897315 scopus 로고    scopus 로고
    • Asymptotics for minimal discrete energy on the sphere
    • to appear
    • A. B. J. Kuijlaars, and E. B. Saff, Asymptotics for minimal discrete energy on the sphere, Trans. Am. Math. Soc. (to appear).
    • Trans. Am. Math. Soc.
    • Kuijlaars, A.B.J.1    Saff, E.B.2
  • 18
    • 84990604340 scopus 로고
    • Hecke operators and distributing points on the sphere I
    • A. Lubotzky, R. Phillips, and P. Sarnak, Hecke operators and distributing points on the sphere I, Comm. Pure Appl. Math. 39 (1986), 149-186.
    • (1986) Comm. Pure Appl. Math. , vol.39 , pp. 149-186
    • Lubotzky, A.1    Phillips, R.2    Sarnak, P.3
  • 19
    • 0001585704 scopus 로고
    • Extremal arrangements of points and unit charges on a sphere: Equilibrium configurations revisited
    • T. W. Melnyk, O. Knop, and W. R. Smith, Extremal arrangements of points and unit charges on a sphere: equilibrium configurations revisited. Can. J. Chem. 55 (1977), 1745-1761.
    • (1977) Can. J. Chem. , vol.55 , pp. 1745-1761
    • Melnyk, T.W.1    Knop, O.2    Smith, W.R.3
  • 21
    • 0006076043 scopus 로고
    • Electrons on the sphere
    • (R. M. Ali, St. Ruscheweyh, and E. B. Saff, eds.), Singapore: World Scientific
    • E. A. Rakhmanov, E. B. Saff, and Y. M. Zhou, Electrons on the sphere, in Computational Methods and Function Theory (R. M. Ali, St. Ruscheweyh, and E. B. Saff, eds.), Singapore: World Scientific (1995), pp. 111-127.
    • (1995) Computational Methods and Function Theory , pp. 111-127
    • Rakhmanov, E.A.1    Saff, E.B.2    Zhou, Y.M.3
  • 22
    • 0002102930 scopus 로고
    • Complexity of Bezout's theorem III: Condition number and packing
    • M. Shub and S. Smale, Complexity of Bezout's theorem III: condition number and packing, J. Complexity 9 (1993), 4-14.
    • (1993) J. Complexity , vol.9 , pp. 4-14
    • Shub, M.1    Smale, S.2
  • 23
    • 84968518878 scopus 로고
    • Sums of distances between points on a sphere. II
    • K. B. Stolarsky, Sums of distances between points on a sphere. II. Proc. Am. Math. Soc. 41 (1973), 575-582.
    • (1973) Proc. Am. Math. Soc. , vol.41 , pp. 575-582
    • Stolarsky, K.B.1
  • 24
    • 84973998293 scopus 로고
    • On the means of distances on the surface of a sphere (lower bounds)
    • G. Wagner, On the means of distances on the surface of a sphere (lower bounds), Pacific J. Math. 144 (1990), 389-398.
    • (1990) Pacific J. Math. , vol.144 , pp. 389-398
    • Wagner, G.1
  • 25
    • 84973999972 scopus 로고
    • On the means of distances on the surface of a sphere II (upper bounds)
    • G. Wagner, On the means of distances on the surface of a sphere II (upper bounds), Pacific J. Math. 153 (1992), 381-396.
    • (1992) Pacific J. Math. , vol.153 , pp. 381-396
    • Wagner, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.