Supplementary materials:
abstract.pdf (512.0 Kb)
Language: English
References
-
B.N. Delone, N.P. Dolbilin, M.I. Stogrin, R.V. Galiuilin, “A local criterion for regularity of a system of points”, Soviet Math. Dokl., 17 (1976), 319–322
-
N.P. Dolbilin, “On Local Properties for Discrete Regular Systems”, Soviet Math. Dokl, 230:3 (1976), 516–519
-
M. Bouniaev, N. Dolbilin, “Regular and Multi-regular $t$-bonded Systems”, Journal of Information Processing, 21:6 (2017), 735–740, Japan
-
N. Dolbilin, M. Bouniaev, “Regular $t$-bonded systems in $\mathbb{Z}^3$”, European Journal of Combinatorics, 2018, 1–13
-
M. Bouniaev, N. Dolbilin, “The local theory for regular systems in the context of $t$-bonded sets”, Symmetry, 10:5 (2018), 159, 1–17, Switzerland
-
N. Dolbilin, “Identity and Global Symmetry”, Discrete Geometry and Symmetry, Springer Proceedings in Mathematics and Statistics, Springer Int.Pub, 2018
-
I. Baburin, M. Bouniaev, N. Dolbilin, N. Erochovets, A. Garber, S. Krivovichev, and E. Schulte, “On the Origin of Crystallinity: a Lower Bound for the Regularity Radius of Delone Sets”, Acta Crystallographica, A74 (2018), 616–629
-
N.P. Dolbilin, A.N. Magazinov, “The Uniqueness Theorem for Locally Antipodal Delone Sets”, Modern Problems of Mathematics, Mechanics and Mathematical Physics, II, Steklov Institute Proc., 294, MAIK, M., 2016, 215–221
-
L. Danzer, N. Dolbilin, “Delone graphs; some species and local rules”, The mathematics of long-range aperiodic order (Waterloo, ON, 1995), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 1997, 85–114
-
S. Krivovichev, “On the algorithmic complexity of crystals”, Mineralogical Magazine, 78:2 (2014), 415–435
-
V.Ya Shevchenko, S.V. Krivovichev, and A. Mackay, “Cellular automata and local order in the structural chmistry of the lovozerite group minerals”, Glass Physics and Chemistry, 36 (2010), 1–9
|
Contact us: