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Scientific session of the Steklov Mathematical Institute of RAS dedicated to the results of 2017
November 29, 2017 11:15, Moscow, Steklov Mathematical Institute of RAS, Conference Hall (8 Gubkina)


Local conditions for the regularity of discrete sets

N. P. Dolbilin

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow


https://youtu.be/jzijpMWAaxg

Abstract: In the presentation we will give nessesary definitions, a shot survey of “old” results and will formulate recently proved statements for the local theory of Deloney sets and their generalization.

References
  1. Nikolay Dolbilin, “Delone Sets: Local Identity and Global Order”, Volume dedicated to the 60th anniversary of Professors Karoly Bezdek and Egon Schulte, Springer Contributed Volume on Discrete Geometry and Symmetry, Springer, 2017 (to appear), arXiv: 1608.06842
  2. N. P. Dolbilin, “Mnozhestva Delone v $R^3$: usloviya regulyarnosti”, Fundamentalnaya i prikladnaya matematika, 21:6 (2016)
  3. Mikhail Bouniaev, Nikolai Dolbilin, “Regular and Multiregular $t$-Systems”, J. Inform. Proc., 25 (2017), 735–740  mathnet  crossref
  4. N. Dolbilin, M. Bouniaev, “Regular $t$-bonded Sets in $R^3$”, Volume dedicated to memory of Michel Deza, European Journal of Combinatorics, 2018 (to appear)


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