N. N. Andreev, “Disposition of Points on a Sphere with Minimum of Energy”, Approximation theory. Harmonic analysis, Collection of papers dedicated to the memory of Professor Sergei Borisovich Stechkin, Trudy Mat. Inst. Steklova, 219, Nauka, MAIK «Nauka», M., 1997, 27–31; Proc. Steklov Inst. Math., 219 (1997), 20

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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 1997, Volume 219, Pages 27–31 (Mi tm604)

This article is cited in 11 scientific papers (total in 11 papers)

Disposition of Points on a Sphere with Minimum of Energy

N. N. Andreev

Full-text PDF (477 kB) Citations (11)

Received in June 1997

Bibliographic databases:

Document Type: Article

UDC: 517.5

Language: Russian

Citation: N. N. Andreev, “Disposition of Points on a Sphere with Minimum of Energy”, Approximation theory. Harmonic analysis, Collection of papers dedicated to the memory of Professor Sergei Borisovich Stechkin, Trudy Mat. Inst. Steklova, 219, Nauka, MAIK «Nauka», M., 1997, 27–31; Proc. Steklov Inst. Math., 219 (1997), 20–24

Citation in format AMSBIB

\Bibitem{And97}

\by N.~N.~Andreev

\paper Disposition of Points on a~Sphere with Minimum of Energy

\inbook Approximation theory. Harmonic analysis

\bookinfo Collection of papers dedicated to the memory of Professor Sergei Borisovich Stechkin

\serial Trudy Mat. Inst. Steklova

\yr 1997

\vol 219

\pages 27--31

\publ Nauka, MAIK «Nauka»

\publaddr M.

\mathnet{http://mi.mathnet.ru/tm604}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1642295}

\zmath{https://zbmath.org/?q=an:0929.52010}

\transl

\jour Proc. Steklov Inst. Math.

\yr 1997

\vol 219

\pages 20--24

Linking options:

https://www.mathnet.ru/eng/tm604

https://www.mathnet.ru/eng/tm/v219/p27

This publication is cited in the following 11 articles:

Slomczynski W., Szymusiak A., “Highly symmetric POVMs and their informational power”, Quantum Inf. Process., 15:1 (2016), 565–606
Boyvalenkov P.G., Dragnev P.D., Hardin D.P., Saff E.B., Stoyanova M.M., “BMX: a tool for computing bacterial phyletic composition from orthologous maps”, Dolomit. Res. Notes Approx., 8:SI (2015), 51–65
Borodachov S.V., “Lower Order Terms of the Discrete Minimal Riesz Energy on Smooth Closed Curves”, Canad J Math, 64:1 (2012), 24–43
Borodachov S., “Asymptotics for the Minimum Riesz Energy and Best-Packing on Sets of Finite Packing Premeasure”, Publ Mat, 56:1 (2012), 225–254
Ballinger B., Blekherman G., Cohn H., Giansiracusa N., Kelly E., Schurmann A., “Experimental Study of Energy–Minimizing Point Configurations on Spheres”, Experimental Mathematics, 18:3 (2009), 257–283
S. V. Borodachov, E. B. Saff, D. P. Hardin, “Asymptotics of weighted best-packing on rectifiable sets”, Sb. Math., 199:11 (2008), 1579–1595
Cohn H., Conway J.H., Elkies N.D., Kumar A., “The D–4 root system is not universally optimal”, Experimental Mathematics, 16:3 (2007), 313–320
Cohn H., Kumar A., “Universally optimal distribution of points on spheres”, Journal of the American Mathematical Society, 20:1 (2007), 99–148
Battye R.A., Gibbons G.W., Rychenkova P., Sutcliffe P.M., “Polyhedral scattering of fundamental monopoles”, Journal of Mathematical Physics, 44:8 (2003), 3532–3542
N. N. Andreev, “A minimal design of order $11$ on the $3$-sphere”, Math. Notes, 67:4 (2000), 417–424
Andreev N.N., Yudin V.A., “Problems of approximation theory in discrete geometry”, Advances in Multivariate Approximation, Mathematical Research, 107, 1999, 19–32

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Труды Математического института имени В. А. Стеклова

Proceedings of the Steklov Institute of Mathematics

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