메뉴 건너뛰기




Volumn 193, Issue 1, 2005, Pages 174-204

Minimal Riesz energy point configurations for rectifiable d-dimensional manifolds

Author keywords

Best packing; Hausdorff measure; Minimal discrete Riesz energy; Power law potential; Rectifiable manifolds; Uniform distribution of points on a sphere

Indexed keywords


EID: 13844275746     PISSN: 00018708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aim.2004.05.006     Document Type: Article
Times cited : (137)

References (17)
  • 2
    • 4243457247 scopus 로고    scopus 로고
    • Crystalline order on a sphere and the generalized Thomson problem
    • M. Bowick A. Cacciuto D.R. Nelson A. Travesset Crystalline order on a sphere and the generalized Thomson problem Phys. Rev. Lett. 89 2002 185502
    • (2002) Phys. Rev. Lett. , vol.89 , pp. 185502
    • Bowick, M.1    Cacciuto, A.2    Nelson, D.R.3    Travesset, A.4
  • 4
    • 13844258410 scopus 로고
    • The problem of packing a number of equal nonoverlapping circles on a sphere
    • H.S.M. Coxeter The problem of packing a number of equal nonoverlapping circles on a sphere Trans. New York Acad. Sci. 10 1956 117-120
    • (1956) Trans. New York Acad. Sci. , vol.10 , pp. 117-120
    • Coxeter, H.S.M.1
  • 8
    • 21944444965 scopus 로고    scopus 로고
    • Asymptotics for minimal discrete energy on the sphere
    • A.B.J. Kuijlaars E.B. Saff Asymptotics for minimal discrete energy on the sphere Trans. Amer. Math. Soc. 350 2 1998 523-538
    • (1998) Trans. Amer. Math. Soc. , vol.350 , Issue.2 , pp. 523-538
    • Kuijlaars, A.B.J.1    Saff, E.B.2
  • 12
    • 0001585704 scopus 로고
    • Extremal arrangements of points and unit charges on a sphere: Equilibrium configurations revisited
    • T.W. Melnyk O. Knop W.R. Smith Extremal arrangements of points and unit charges on a sphere: Equilibrium configurations revisited Canad. J. Chem. 55 1977 1745-1761
    • (1977) Canad. J. Chem. , vol.55 , pp. 1745-1761
    • Melnyk, T.W.1    Knop, O.2    Smith, W.R.3
  • 16
    • 0031542184 scopus 로고    scopus 로고
    • Distributing many points on a sphere
    • E.B. Saff A.B.J. Kuijlaars Distributing many points on a sphere Math. Intell. 19 1 1997 5-11
    • (1997) Math. Intell. , vol.19 , Issue.1 , pp. 5-11
    • Saff, E.B.1    Kuijlaars, A.B.J.2
  • 17
    • 0001646399 scopus 로고
    • Unique arrangements of points on a sphere
    • L.L. Whyte Unique arrangements of points on a sphere Amer. Math. Monthly 59 1952 602-611
    • (1952) Amer. Math. Monthly , vol.59 , pp. 602-611
    • Whyte, L.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.