Delone Sets in ℝ3 with 2R-Regularity Conditions-Reference-Cited by-同舟云学术

Delone Sets in ℝ3 with 2R-Regularity Conditions

Published:2018-08 Issue:1 Volume:302 Page:161-185
ISSN:0081-5438
Container-title:Proceedings of the Steklov Institute of Mathematics
language:en
Short-container-title:Proc. Steklov Inst. Math.

Author:

Dolbilin N. P.

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Link

http://link.springer.com/content/pdf/10.1134/S0081543818060081.pdf

Reference9 articles.

1. I. A. Baburin, M. Bouniaev, N. Dolbilin, N. Yu. Erokhovets, A. Garber, S. V. Krivovichev, and E. Schulte, “On the origin of crystallinity: A lower bound for the regularity radius of Delone sets,” Acta Crystallogr. A 74 (6), 616–629 (2018); arXiv: 1804.05035 [math.MG].

2. B. N. Delone, N. P. Dolbilin, M. I. Shtogrin, and R. V. Galiulin, “A local criterion for regularity of a system of points,” Sov. Math., Dokl. 17 (2), 319–322 (1976) [transl. from Dokl. Akad. Nauk SSSR 227 (1), 19–21 (1976)].

3. N. P. Dolbilin, “Crystal criterion and locally antipodal Delaunay sets,” Vestn. Chelyab. Gos. Univ., No. 3, 6–17 (2015).

4. N. Dolbilin, “Delone sets with congruent clusters,” Struct. Chem. 27 (6), 1725–1732 (2016).

5. N. P. Dolbilin, “Delone sets in R3: Regularity conditions,” Fundam. Prikl. Mat. 21 (6), 115–141 (2016).

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