메뉴 건너뛰기




Volumn 199, Issue 1, 2007, Pages 172-180

On separation of minimal Riesz energy points on spheres in Euclidean spaces

Author keywords

Generalized Thomson problem; Minimal energy; Riesz energy; Separation of mininmal energy points; Spherical potential

Indexed keywords

NUMBER THEORY; PROBLEM SOLVING;

EID: 33748953694     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.04.074     Document Type: Article
Times cited : (36)

References (20)
  • 3
    • 33748955463 scopus 로고    scopus 로고
    • J.S. Brauchart, About the second term of the asymptotics for the optimal Riesz energy on the sphere in the potential theoretical case, preprint.
  • 5
    • 84972549267 scopus 로고
    • On the distribution of Fekete points
    • Dahlberg B.E.J. 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
  • 6
    • 0038392442 scopus 로고    scopus 로고
    • Energy functionals, numerical integration and asymptotic equidistribution on the sphere
    • Damelin S.B., and Grabner P.J. Energy functionals, numerical integration and asymptotic equidistribution on the sphere. J. Complexity 19 3 (2003) 231-246
    • (2003) J. Complexity , vol.19 , Issue.3 , pp. 231-246
    • Damelin, S.B.1    Grabner, P.J.2
  • 7
    • 0038624711 scopus 로고    scopus 로고
    • On the separation of logarithmic points on the sphere
    • Chui C.K., Schumaker L.L., and Stöckler J. (Eds), Vanderbilt University Press, Nashville, TN
    • Dragnev P.D. On the separation of logarithmic points on the sphere. In: Chui C.K., Schumaker L.L., and Stöckler J. (Eds). Approximation Theory X: Abstract and Classical Analysis (2002), Vanderbilt University Press, Nashville, TN 137-144
    • (2002) Approximation Theory X: Abstract and Classical Analysis , pp. 137-144
    • Dragnev, P.D.1
  • 8
    • 84872343122 scopus 로고    scopus 로고
    • On the maximal product of distances between points on sphere
    • Dubickas A. On the maximal product of distances between points on sphere. Lithuanian Math. J. 36 3 (1996) 241-248
    • (1996) Lithuanian Math. J. , vol.36 , Issue.3 , pp. 241-248
    • Dubickas, A.1
  • 10
    • 0038392429 scopus 로고    scopus 로고
    • On the Riesz energy of measures
    • Götz M. On the Riesz energy of measures. J. Approx. Theory 122 (2003) 62-78
    • (2003) J. Approx. Theory , vol.122 , pp. 62-78
    • Götz, M.1
  • 11
    • 0001211270 scopus 로고
    • Lagerung von Punkten auf der Kugel
    • Habicht W., and Van der Waerden B.L. 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
  • 12
    • 27844497928 scopus 로고    scopus 로고
    • Discretizing manifolds via minimum energy points
    • Hardin D.P., and Saff E.B. Discretizing manifolds via minimum energy points. Notices of Amer. Math. Soc. 51 10 (2004) 1186-1194
    • (2004) Notices of Amer. Math. Soc. , vol.51 , Issue.10 , pp. 1186-1194
    • Hardin, D.P.1    Saff, E.B.2
  • 13
    • 13844275746 scopus 로고    scopus 로고
    • Minimal Riesz energy point configurations for rectifiable d-dimensional manifolds
    • Hardin D.P., and Saff E.B. Minimal Riesz energy point configurations for rectifiable d-dimensional manifolds. Adv. in Math. 193 (2005) 174-204
    • (2005) Adv. in Math. , vol.193 , pp. 174-204
    • Hardin, D.P.1    Saff, E.B.2
  • 14
    • 21944444965 scopus 로고    scopus 로고
    • Asymptotics for minimal discrete energy on the sphere
    • Kuijlaars A.B.J., and Saff E.B. Asymptotics for minimal discrete energy on the sphere. Trans. Amer. Math. Soc. 350 (1998) 523-538
    • (1998) Trans. Amer. Math. Soc. , vol.350 , pp. 523-538
    • Kuijlaars, A.B.J.1    Saff, E.B.2
  • 17
    • 33748986448 scopus 로고    scopus 로고
    • C. Müller, Spherical Harmonics, Lecture Notes in Mathematics, vol. 17, Springer, Berlin, Heidelberg, 1966.
  • 18
  • 19
    • 0006076043 scopus 로고
    • Electrons on the sphere
    • Ali R.M., Ruscheweyh St., and Saff E.B. (Eds), World Scientific, Singapore
    • Rakhmanov E.A., Saff E.B., and Zhou Y.M. Electrons on the sphere. In: Ali R.M., Ruscheweyh St., and Saff E.B. (Eds). Computational Methods and Function Theory (1995), World Scientific, Singapore 293-309
    • (1995) Computational Methods and Function Theory , pp. 293-309
    • Rakhmanov, E.A.1    Saff, E.B.2    Zhou, Y.M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.