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Dolbilin Nikolai Petrovich

Total publications: 88
Scientific articles: 70
in MathSciNet: 58
in zbMATH: 53
in Web of Science: 34
in Scopus: 28
Cited articles: 42
Citations in Math-Net.Ru: 122
Citations in MathSciNet (by Sep 2017): 136
Citations in Web of Science: 108
Citations in Scopus: 97
Presentations: 14

Number of views:
This page:5702
Abstract pages:7354
Full texts:1933
References:583
Dolbilin Nikolai Petrovich
Professor
Doctor of physico-mathematical sciences (2000)
Speciality: 01.01.04 (Geometry and topology)
E-mail:
Keywords: lattices and tilings of space, crystals and quasicrystals, aperiodic tilings, polytopes, Rigid and flexible polyhedra, Ising model, mathematics education.

Biography

1960–1965 – Department of Mechanics and Mathematics, Moscow State University;

1966– 1969 – graduateship of Steklov Mathematics Institute, Geometry Department;

1969 – present &ndash, leading scientific fellow, Steklov Mathematical Institute of RAS, Department of Geometry and Topology, Laboratory of Popularization and Promotion of Mathematics

   
Main publications:
  • A local criterion for regularity of a system of points // Soviet Math. Dokl., 17, 1976, 319–322 (with B. N. Delone, M. I. Stogrin, and R. V. Galiulin).
  • A local criterion for regularity of a system of points // Soviet Math. Dokl., 17, 1976, 319–322 (with B. N. Delone, M. I. Stogrin, and R. V. Galiulin).
  • The Countability of a Tiling Family and the Periodicity of Tiling // Discr. and Comput. Geometry, 13, 1995, 405–414.
  • The Extension Theorem // Discrete Mathematics, 221(1–3), 2000, 43–60.
  • The two-dimensional Ising model and the Kac–Ward determinant // Izvestiya of Russian Academy of Sciences, Mathematics, 63(4), 1999, 707–727 (jointly with Ju. M. Zinoviev, A. S. Mischenko, M. A. Stan'ko, and M. I. Stogrin).
  • Multiregular point systems // Discr. and Comput. Geometry, 20, 1998, 477–498 (jointly with J. C. Lagarias and M. Seneshal).

http://www.mathnet.ru/eng/person8890
List of publications on Google Scholar
http://zbmath.org/authors/?q=ai:dolbilin.nikolai-p
http://www.ams.org/mathscinet/search/author.html?return=viewitems&mrauthid=238380
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http://www.researcherid.com/rid/Q-5832-2016
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https://www.researchgate.net/profile/Nikolai_Dolbilin

Full list of publications:
| by years | by types | by times cited | scientific publications | common list |



   2017
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. Mikhail Bouniaev, Nikolai Dolbilin, “Regular and Multiregular $t$-Systems”, J. Inform. Proc., 25 (2017), 735–740  mathnet  crossref

   2016
3. M. M. Bouniaev, N. P. Dolbilin, O. R. Musin, A. S. Tarasov, “Geometrical problems related to crystals, fullerenes, and nanoparticle structure” (Singapore, February 3–4, 2014), Springer Proc. Math. Statist., 124, 2016, 139–151  mathnet  crossref  mathscinet  zmath  elib  scopus
4. N. P. Dolbilin, A. N. Magazinov, “Uniqueness theorem for locally antipodal Delaunay sets”, Proc. Steklov Inst. Math., 294 (2016), 215–221  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
5. Nikolay Dolbilin, “Delone sets with congruent clusters”, Structural Chemistry, 26:6, Dedicated to the 75th anniversary of academician V. Ya. Schevchenko (2016), 1725–1732  mathnet  crossref  isi  elib  scopus (cited: 1)
6. Nikolai Dolbilin, Nikolai Andreev, Sergei Konovalov, Nikita Panyunin, “Mathematical Etudes: Evolution from Multimedia to a Book”, Eur. Math. Soc. Newsl., 2016, no. 12, 38–43  mathnet  crossref  zmath
7. N. P. Dolbilin, “Mnozhestva Delone v $R^3$: usloviya regulyarnosti”, Fundamentalnaya i prikladnaya matematika, 21:6 (2016)

   2015
8. N. P. Dolbilin, “Kriterii kristalla i lokalno antipodalnye mnozhestva Delone”, Trudy Mezhdunarodnoi konferentsii “Kvantovaya topologiya”, Vestnik ChelGU, no. 3 (358), 2015, 6–17  mathnet (cited: 1)  elib (cited: 2)
9. N. P. Dolbilin, A. N. Magazinov, “Locally antipodal Delaunay sets”, Russian Math. Surveys, 70:5 (2015), 958–960  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  elib  scopus (cited: 1)
10. N. P. Dolbilin, “The Minkowski Theorem on Parallelohedra and Its Recent Development”, Toric Topology, Number Theory and Applications. Conference Proceedings (Khabarovsk, 6–12 September 2015), Tikhookeanskii gosudarstvennyi universitet, Khabarovsk, 2015, 21–22 http://www.iam.khv.ru/ttnt-2015  elib
11. N. P. Dolbilin, “Geometricheskaya kristallografiya”: N. N. Andreev, S. P. Konovalov, N. M. Panyunin (red.-sost.), v knige “Matematicheskaya sostavlyayuschaya”, Fond “Matematicheskie etyudy”, M., 2015, 110–117

   2014
12. N. P. Dolbilin, H. Edelsbrunner, A. A. Glazyrin, O. R. Musin, “Functionals on Delaunay triangulations”, Mosc. Math. J., 14:3 (2014), 491–504  mathnet (cited: 1)  mathscinet  zmath  isi  elib (cited: 1)  scopus (cited: 1)
13. M. Bouniaev, N. Dolbilin, O. Musin, A. Tarasov, “Two groups of geometrical problems related to study of fullerenes & crystals”, Journal of Mathematics, Statistics and Operations Research, 2:2 (2014), 7–22  mathnet  crossref
14. Gyunter M. Tsigler, Teoriya mnogogrannikov, perevod s angliiskogo pod redaktsiei N. P. Dolbilina, MTsNMO, M., 2014 , 565 pp., Predislovie redaktora perevoda
15. N. N. Andreev, N. P. Dolbilin, S. P. Konovalov, N. M. Panyunin, “Mathematical Etudes: A Russian Tradition in New Form”, Math. Intell., 36:3 (2014), 47–52  mathnet  crossref  zmath  isi  elib  scopus

   2013
16. N. Dolbilin, Jin-ichi Itoh, Chie Nara, “Affine classes of 3-dimensional parallelohedra - Their parametrization”, Computational geometry and graphs, Lecture Notes in Computer Science, 8296, eds. J. Akiyama, M. Kano, T. Sakai, Springer-Verlag, Berlin–Heidelberg, 2013, 64–72  mathnet  crossref  zmath  scopus
17. N. P. Dolbilin, “Delone Sets and Polyhedral Tilings: Local Rules and Global Order”, 10 International Symposium on Voronoi Diagrams in Science (ISVD 2013), Program and Abstracts (Saint Petersburg, July 8–10, 2013), St. Petersburg Academic University, 2013, 3  crossref
18. N. Dolbilin, “Parallelohedra: from Minkowski and Voronoi to the present day”, The 2nd Pasific Rim Mathematical Association Congress, Program and Abstracts (June 24–28, 2013, Shanghai, China), Shanghai Jiao Tong University, Shanghai, 2013, 9–10
19. M. Bouniaev, N. Dolbilin, “Local rules and global order in crystals”, XII International Symposium on Self-propagating High-Temperature Synthesis, Book of Abstracts (21–24 October, 2013, South Padre Island, Texas, USA), University of Texas at Brownsvill, 2013, 306–307
20. M. Bouniaev, N. Dolbilin, “Local Rules as the Mechanism of Global Order Formation in Crystals”, Fifth International Conference on Analytic Number Theory and Spatial Tessellations, devoted to the development of a scientic heritage of G. Voronoi (1868–1908) (Kyiv, National Pedagogical Dragomanov University, 16–20 September, 2013), Institute of Mathematics, NAS of Ukraine, Kyiv, 2013, 60–61 http://www.mathematik.uni-wuerzburg.de/~oswald/voronoiconf.pdf
21. N. P. Dolbilin, “Parallelohedra and the Voronoi Conjecture”, Algebraic Topology and Abelian Functions. Abstracts, Conference in honour of Victor Buchstaber on the occasion of his 70th birthday (Moscow, Steklov Mathematical Institute of RAS, 18–22 June 2013), Steklov Mathematical Institute, 2013, 37–38 http://vmb70.mi.ras.ru/abstracts.pdf

   2012
22. N. P. Dolbilin, O. R. Musin, H. Edelsbrunner, “On the optimality of functionals over triangulations of Delaunay sets”, Russian Math. Surveys, 67:4 (2012), 781–783  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 2)
23. N. P. Dolbilin, Trans. Moscow Math. Soc., 2012, 207–220  mathnet  crossref  mathscinet  zmath  elib  scopus (cited: 2)
24. N. Dolbilin, H. Edelsbrunner, A. Ivanov, O. Musin, “The First Yaroslavl Summer School on Discrete and Computational Geometry”, Model. Anal. Inform. Sist., 19:4 (2012), 168–173  mathnet  elib
25. N. Dolbilin, H. Edelsbrunner, A. Ivanov, O. Musin, M. Nevskii, “Yaroslavl International Conference on Discrete Geometry (dedicated to the centenary of A. D. Alexandrov)”, Model. i analiz inform. sistem., 19:6 (2012), 92–100  mathnet  elib

   2011
26. N. Dolbilin, Jin-ichi Itoh, Chie Nara, “Affine equivalent classes of parallelohedra”, Computational geometry, graphs and applications, 9th International conference, CGGA 2010 (Dalian, China, November 3–6, 2010), Revised selected papers, Lecture Notes in Comput. Sci., 7053, eds. Jin Akiyama, et al., Springer, Heidelberg, 2011, 55–60  crossref  mathscinet (cited: 2)  zmath  isi (cited: 3)  elib (cited: 2)  scopus (cited: 5)
27. N. Dolbilin, “Local rules and global order”, Foundations in crystallography, Abstracts of the XXII International Union of Crystallography (Madrid, Spain, 22–30 August 2011), Acta Crystallographica, A67, Wiley, New York, 2011, 184–185
28. N. P. Dolbilin, “Boris Nikolaevich Delone (Delaunay): life and work”, Proc. Steklov Inst. Math., 275 (2011), 1–14  mathnet  crossref  mathscinet  isi (cited: 2)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 1)

   2010
29. N. Dolbilin, D. Frettlöh, “Properties of Böröczky tilings in high-dimensional hyperbolic spaces”, European J. Combin., 31:4 (2010), 1181–1195 , arXiv: 0705.0291  crossref  mathscinet (cited: 2)  zmath  isi (cited: 2)  elib (cited: 2)  scopus (cited: 2)
30. N. P. Dolbilin, M. A. Kozachok, “Polytopes with centrally symmetric faces”, Chebyshev Sb., XI:1(33) (2010), 109–115  mathnet  mathscinet  zmath  elib
31. N. P. Dolbilin, “Mnogogrannyi Delone”, Kvant, 1–2 (2010), 2–7, 2–9 http://elementy.ru/lib/431017

   2009
32. N. P. Dolbilin, “Properties of Faces of Parallelohedra”, Proc. Steklov Inst. Math., 266 (2009), 105–119  mathnet  crossref  mathscinet  zmath  isi (cited: 6)  elib (cited: 5)  elib (cited: 5)  scopus (cited: 4)
33. N. Dolbilin, E. Schulte, “A local characterization of combinatorial multihedrality in tilings”, Contrib. Discrete Math., 4:1 (2009), 1–11 , arXiv: 0809.2291  mathscinet  zmath  adsnasa

   2008
34. N. P. Dolbilin, “The Voronoi problem and the Minkowski theorems on parallelohedra”, Numerical geometry, grid generation and high performance computing, Russ. Acad. Sci., Dorodnicyn Comput. Cent., Moscow, 2008, 190–195  mathscinet
35. N. Dolbilin, M. Tanemura, “Voronoi tilings on the Clifford torus in a 3-sphere”, Voronoi's impact on the modern science 4, v. 1, NAN of Ukraine, Kyiv, 2008, 210–219
36. N. Dolbilin, E. Schulte, “Special issue in honor of Ludwig Danzer's 80th birthday (Foreword)”, European J. Combin., 29:8 (2008), 1801–1802  crossref  mathscinet  zmath  isi  elib  scopus
37. V. A. Aleksandrov, Yu. A. Aminov, V. M. Buchstaber, V. A. Vassiliev, N. P. Dolbilin, S. P. Novikov, Yu. G. Reshetnyak, V. A. Sadovnichii, V. T. Fomenko, “Idzhad Khakovich Sabitov (on his 70th birthday)”, Russian Math. Surveys, 63:6 (2008), 1173–1177  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib

   2007
38. N. P. Dolbilin, “Minkowski's theorems on parallelohedra and their generalisations”, Russian Math. Surveys, 62:4 (2007), 793–795  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 2)

   2006
39. N. Dolbilin, M. Tanemura, “How many facets on average can a tile have in a tiling?”, Forma, 21:3 (2006), 177–196  mathscinet (cited: 1)
40. N. P. Dolbilin, A. A. Maltsev, “Sergei Sergeevich Ryshkov”, Chebyshevskii sb., 7:2(18) (2006), 4–12  mathscinet  zmath

   2005
41. N. Dolbilin, M. Tanemura, “On tilings whose tiles have many facets”, Rev. Roumaine Math. Pures Appl., 50:5-6 (2005), 595–611  mathscinet  zmath

   2004
42. N. Dolbilin, E. Schulte, “The local theorem for monotypic tilings”, Electron. J. Combin., 11:2 (2004), Research Paper 7 , 19 pp.  mathscinet (cited: 2)  zmath  isi

   2002
43. N. P. Dolbilin, V. S. Makarov, “Extension Theorem in the Theory of Isohedral Tilings and Its Applications”, Proc. Steklov Inst. Math., 239 (2002), 136–158  mathnet  mathscinet  zmath
44. E. P. Baranovskii, N. P. Dolbilin, A. A. Mal'tsev, “Sergei Sergeevich Ryshkov (On his 70th Birthday)”, Proc. Steklov Inst. Math., 239 (2002), 1–12  mathnet  mathscinet  zmath

   2001
45. N. Dolbilin, “Tri teoremy o vypuklykh mnogogrannikakh”, Kvant, 5,6 (2001), 7–12, 3–10

   2000
46. N. P. Dolbilin, “The extension theorem”, Discrete Math., 221:1-3, Selected papers in honor of Ludwig Danzer (2000), 43–59  crossref  mathscinet (cited: 5)  zmath  isi (cited: 6)  elib (cited: 9)  scopus (cited: 7)
47. N. Dolbilin, “Self-similar mosaics”, Quantum, 10:6 (2000), 4–9  mathscinet
48. N. P. Dolbilin, Pearls of the theory of polyhedra, Mathematical Enlighting Library, 5, Moscow Center of Continuous Education Center Publishing House, Moscow, 2000 , 40 pp.

   1999
49. N. P. Dolbilin, Yu. M. Zinoviev, A. S. Mishchenko, M. A. Shtan'ko, M. I. Shtogrin, “The two-dimensional Ising model and the Kac–Ward determinant”, Izv. Math., 63:4 (1999), 707–727  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 2)
50. N. P. Dolbilin, M. A. Shtan'ko, M. I. Shtogrin, “Rigidity of a quadrillage of the torus”, Russian Math. Surveys, 54:4 (1999), 839–840  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 4)  elib (cited: 1)  scopus (cited: 2)
51. N. P. Dolbilin, Yu. M. Zinoviev, A. S. Mishchenko, M. A. Shtan'ko, M. I. Shtogrin, “The Kac–Ward Determinant”, Proc. Steklov Inst. Math., 225 (1999), 165–182  mathnet  mathscinet  zmath

   1998
52. N. P. Dolbilin, J. C. Lagarias, M. Senechal, “Multiregular point systems”, Discrete Comput. Geom., 20:4 (1998), 477–498  crossref  mathscinet (cited: 13)  zmath  isi (cited: 24)  elib (cited: 23)  scopus (cited: 25)
53. N. P. Dolbilin, “Rigidity of convex polyhedrons”, Quantum, 9:1 (1998), 8–13  mathscinet
54. D. Schattschneider, N. Dolbilin, “One corona is enough for the Euclidean plane”, Quasicrystals and discrete geometry (Toronto, ON, 1995), Fields Inst. Monogr., 10, Amer. Math. Soc., Providence, RI, 1998, 207–246  mathscinet (cited: 5)  zmath
55. N. Dolbilin, D. Schattschneider, “The local theorem for tilings”, Quasicrystals and discrete geometry (Toronto, ON, 1995), Fields Inst. Monogr., 10, Amer. Math. Soc., Providence, RI, 1998, 193–199  mathscinet (cited: 5)  zmath
56. N. P. Dolbilin, A. W. M. Dress, D. H. Huson, “Two finiteness theorems for periodic tilings of $d$-dimensional Euclidean space”, Discrete Comput. Geom., 20:2 (1998), 143–153  crossref  mathscinet (cited: 1)  zmath  isi (cited: 1)  elib (cited: 1)  scopus (cited: 2)
57. N. P. Dolbilin, Yu. M. Zinoviev, M. A. Shtan'ko, M. I. Shtogrin, “The Kac–Ward combinatorial method”, Russian Math. Surveys, 53:6 (1998), 1346–1347  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  scopus (cited: 3)
58. N. P. Dolbilin, “Which clusters can form a crystal?”, Voronoi's impact on modern science, Book 2, eds. P. Engel (Switzerland), H. Syta (Ukraine), Institute of Mathematics of National Academy of Sciences of Ukraine, Kyiv, 1998, 96–104  zmath

   1997
59. N. P. Dolbilin, D. H. Huson, “Periodic Delone tilings”, 3rd Geometry Festival: an International Conference on Packings, Coverings and Tilings (Budapest, 1996), Period. Math. Hungar., 34, no. 1-2, 1997, 57–64  crossref  mathscinet (cited: 2)  zmath  elib (cited: 2)  scopus (cited: 11)
60. N. P. Dolbilin, M. A. Shtan'ko, M. I. Shtogrin, “Nonbendability of a division of a sphere into squares”, Dokl. Math., 55:3 (1997), 385–387  mathnet  mathscinet  zmath  isi  scopus (cited: 2)
61. 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., 489, Kluwer Acad. Publ., Dordrecht, 1997, 85–114  mathscinet (cited: 4)  zmath  isi
62. N.P. Dolbilin, “Igra “Khaos” i fraktaly”, Kvant, 4 (1997), 2–9

   1996
63. N. P. Dolbilin, Yu. M. Zinoviev, A. S. Mishchenko, M. A. Shtan'ko, M. I. Shtogrin, “Homological Properties of Dimer Configurations for Lattices on Surfaces”, Funct. Anal. Appl., 30:3 (1996), 163–173  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 11)  elib (cited: 10)  scopus (cited: 11)
64. N. P. Dolbilin, M. A. Shtan'ko, M. I. Shtogrin, “On rigidity of polyhedral spheres with even-angle faces”, Russian Math. Surveys, 51:3 (1996), 543–544  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  scopus (cited: 1)
65. N. P. Dolbilin, M. A. Shtan'ko, M. I. Shtogrin, “Rigidity of zonohedra”, Russian Math. Surveys, 51:2 (1996), 326–328  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  scopus

   1995
66. N. Dolbilin, “The countability of a tiling family and the periodicity of a tiling”, Discrete Comput. Geom., 13:3-4 (1995), 405–414  crossref  mathscinet (cited: 2)  zmath  isi (cited: 4)  elib (cited: 3)  scopus (cited: 5)

   1994
67. N. P. Dolbilin, M. A. Shtanko, M. I. Shtogrin, “Kubicheskie mnogoobraziya v reshëtkakh”, Izv. RAN. Ser. matem., 58:2 (1994), 93–107  mathnet (cited: 13)  mathscinet (cited: 12)  zmath  adsnasa; N. P. Dolbilin, M. A. Shtan'ko, M. I. Shtogrin, “Cubic manifolds in lattices”, Russian Acad. Sci. Izv. Math., 44:2 (1995), 301–313  crossref  mathscinet  zmath  isi (cited: 8)

   1992
68. N. P. Dolbilin, M. A. Shtanko, M. I. Shtogrin, “Kvadrilyazhi i parametrizatsii reshetchatykh tsiklov”, Topologiya i ee prilozheniya, Trudy Mezhdunarodnoi topologicheskoi konferentsii (Baku, 3–8 oktyabrya 1987 g.), Tr. MIAN SSSR, 193, Nauka, M., 1992, 108–114  mathnet (cited: 1)  mathscinet  zmath; N. P. Dolbilin, M. A. Shtan'ko, M. I. Shtogrin, “Quadrillages and parametrizations of lattice cycles”, Proc. Steklov Inst. Math., 193 (1993), 117–123  mathscinet  zmath

   1991
69. N. P. Dolbilin, M. A. Shtanko, M. I. Shtogrin, “Kvadrilyazhi i parametrizatsii reshetchatykh tsiklov”, Diskretnaya geometriya i topologiya, K 100-letiyu so dnya rozhdeniya Borisa Nikolaevicha Delone, Tr. MIAN SSSR, 196, Nauka, M., 1991, 66–85  mathnet (cited: 4)  mathscinet (cited: 2)  zmath; N. P. Dolbilin, M. A. Shtan'ko, M. I. Shtogrin, “Quadrillages and parametrizations of lattice cycles”, Proc. Steklov Inst. Math., 196 (1992), 73–93  mathscinet  zmath
70. N. P. Dolbilin, M. A. Shtanko, M. I. Shtogrin, “Kombinatornye voprosy dvumernoi modeli Izinga”, Diskretnaya geometriya i topologiya, K 100-letiyu so dnya rozhdeniya Borisa Nikolaevicha Delone, Tr. MIAN SSSR, 196, Nauka, M., 1991, 51–65  mathnet (cited: 5)  mathscinet (cited: 1)  zmath; N. P. Dolbilin, M. A. Shtan'ko, M. I. Shtogrin, “Combinatorial questions of the two-dimensional Ising model”, Proc. Steklov Inst. Math., 196 (1992), 57–72  mathscinet  zmath
71. E. P. Baranovskii, N. P. Dolbilin, V. S. Makarov, A. A. Mal'tsev, S. P. Novikov, M. I. Shtogrin, “Sergei Sergeevich Ryshkov (on his sixtieth birthday)”, Russian Math. Surveys, 46:3 (1991), 263–266  mathnet  crossref  mathscinet  adsnasa  isi
72. D. K. Faddeev, N. P. Dolbilin, S. S. Ryshkov, M. I. Shtogrin, “Boris Nikolaevich Delone (o zhizni i tvorchestve)”, Diskretnaya geometriya i topologiya, K 100-letiyu so dnya rozhdeniya Borisa Nikolaevicha Delone, Tr. MIAN SSSR, 196, Nauka, M., 1991, 3–10  mathnet  mathscinet  zmath; D. K. Faddeev, N. P. Dolbilin, S. S. Ryshkov, M. I. Shtogrin, “Boris Nikolaevich Delone. On his life and creative work”, Proc. Steklov Inst. Math., 196 (1992), 1–9  mathscinet  zmath

   1990
73. N. P. Dolbilin, “Boris Nikolaevich Delone (on the centennial of his birth)”, Matematika v shkole, 1990, no. 1, i, 68–70  mathscinet

   1988
74. I. Bárány, N. P. Dolbilin, “A stability property of the densest circle packing”, Monatsh. Math., 106:2 (1988), 107–114  crossref  mathscinet (cited: 2)  zmath  isi (cited: 4)  scopus (cited: 5)
75. N. P. Dolbilin, M. A. Shtanko, M. I. Shtogrin, “Problema parametrizatsii tsiklov po modulyu 2 v trekhmernoi kubicheskoi reshetke”, Izv. AN SSSR. Ser. matem., 52:2 (1988), 355–377  mathnet (cited: 3)  mathscinet (cited: 2)  zmath  isi; N. P. Dolbilin, M. A. Shtan'ko, M. I. Shtogrin, “The problem of parametrization of cycles modulo 2 in a three-dimensional cubic lattice”, Math. USSR-Izv., 32:2 (1989), 359–383  crossref  mathscinet  zmath  isi
76. N. P. Dolbilin, “Zhestkost vypuklykh mnogogrannikov”, Kvant, 5 (1988), 6–14 http://kvant.mccme.ru/au/dolbilin_n.htm

   1987
77. N. P. Dolbilin, “A characteristic of lattices and the inhomogeneous Minkowski problem”, Studia Sci. Math. Hungar., 22:1-4 (1987), 107–113  mathscinet  zmath
78. N. P. Dolbilin, A. G. Sedrakyan, M. A. Shtanko, M. I. Shtogrin, “Topologiya semeistva parametrizatsii dvumernykh tsiklov, voznikayuschikh v trekhmernoi modeli Izinga”, Dokl. AN SSSR, 295:1 (1987), 19–23  mathnet (cited: 4)  mathscinet (cited: 3)  zmath  isi (cited: 6); N. P. Dolbilin, A. G. Sedrakyan, M. A. Shtan'ko, M. I. Shtogrin, “A topology for the family of parametrizations of two-dimensional cycles arising in the three-dimensional Ising model”, Soviet Math. Dokl., 36:1 (1988), 11–15  mathscinet  zmath  isi (cited: 6)

   1986
79. N. P. Dolbilin, M. A. Shtanko, M. I. Shtogrin, “Kubicheskie podkompleksy v pravilnykh reshetkakh”, Dokl. AN SSSR, 291:2 (1986), 277–279  mathnet (cited: 7)  mathscinet (cited: 5)  isi (cited: 5)
80. N. P. Dolbilin, “Pik Delone”, Kvant, 3 (1986), 10–16 http://kvant.mccme.ru/1986/03/pik_delone.htm

   1978
81. B. N. Delone, N. P. Dolbilin, M. I. Shtogrin, “Kombinatornaya i metricheskaya teoriya planigonov”, Algebra, teoriya chisel i ikh prilozheniya, Tr. MIAN SSSR, 148, 1978, 109–140  mathnet (cited: 5)  mathscinet (cited: 3)  zmath; B. N. Delone, N. P. Dolbilin, M. I. Shtogrin, “Combinatorial and metric theory of planigons”, Proc. Steklov Inst. Math., 148 (1980), 111–141  mathscinet  zmath
82. N. P. Dolbilin, Symmetry, News in Science, Znanie [Knowledge] Publishing House, Moscow, 1978 , 65 pp.

   1976
83. N. P. Dolbilin, “O lokalnykh svoistvakh diskretnykh pravilnykh sistem”, Dokl. AN SSSR, 230:3 (1976), 516–519  mathscinet (cited: 3)  zmath  isi
84. B. N. Delone, N. P. Dolbilin, M. I. Shtogrin, R. V. Galiulin, “Lokalnyi kriterii pravilnosti sistemy tochek”, Dokl. AN SSSR, 227:1 (1976), 19–21  mathscinet (cited: 4)  zmath  isi

   1974
85. N. P. Dolbilin, “The covering radius of hyperbolically equivalent $n$-dimensional lattices, and the boundedness of the index of a divided parallelepiped”, Dokl. AN SSSR, 214 (1974), 1002–1004  mathscinet  zmath

   1973
86. B. N. Delone, R. V. Galiulin, N. P. Dolbilin, V. A. Zalgaller, M. I. Štogrin, “Three successive minima of a three-dimensional lattice”, Dokl. AN SSSR, 209 (1973), 25–28  mathscinet (cited: 1)  zmath

   1971
87. N. P. Dolbilin, “On 3- and 4-dimensional simple forms”, Problems of Crystallology, Collected papers dedicated to 80-anniversary of academician N. V. Belov, MSU Publishing House, Moscow, 1971, 315–323

   1970
88. B. N. Delone, N. P. Dolbilin, S. S. Ryshkov, M. I. Shtogrin, “A new construction in the theory of lattice coverings of an $n$-dimensional space by equal spheres”, Math. USSR-Izv., 4:2 (1970), 293–302  mathnet  crossref  mathscinet  zmath

Presentations in Math-Net.Ru
1. Множества Делоне с транзитивной группой симметрий
N. P. Dolbilin
Seminar of the Department of Discrete Mathematics, Steklov Mathematical Institute of RAS
October 3, 2017 14:00
2. On the regular systems
N. P. Dolbilin
А.A.Karatsuba's 80th Birthday Conference in Number Theory and Applications
May 26, 2017 13:20   
3. Locally Antipodal Delone Sets
N. P. Dolbilin
Conference to the Memory of Anatoly Alekseevitch Karatsuba on Number theory and Applications
January 28, 2016 15:00   
4. Круглый стол «Геометрия в школе»
N. P. Dolbilin, V. M. Tikhomirov
Conference "Moscow Mathematical Society and Lomonosov Moscow State University" dedicated to the 150th anniversary of Moscow Mathematical Society
December 25, 2014 11:30
5. Локальные теоремы о структуре кристаллов
N. P. Dolbilin
Discrete and Computational Geometry
March 11, 2014 13:00
6. Polytopes with centrally symmetric faces and parallelohedra
N. P. Dolbilin
Discrete and Computational Geometry
October 2, 2013 13:00
7. Polytopes with centrally symmetrical faces and Parallelohedra
N. P. Dolbilin
International Conference "Geometry Days in Novosibirsk, 2013"
August 28, 2013 11:10   
8. Parallelohedra and the Voronoi Conjecture
Nikolay Dolbilin
International conference "Algebraic Topology and Abelian Functions" in honour of Victor Buchstaber on occasion of his 70th birthday
June 18, 2013 15:50   
9. Opening ceremony of the conference “GEOMETRY, TOPOLOGY, ALGEBRA and NUMBER THEORY, APPLICATIONS”
V. M. Buchstaber, A. G. Sergeev, N. P. Dolbilin
International conference "GEOMETRY, TOPOLOGY, ALGEBRA and NUMBER THEORY, APPLICATIONS" dedicated to the 120th anniversary of Boris Delone (1890–1980)
August 16, 2010 09:45   
10. Теоремы Минковского о параллелоэдрах
N. P. Dolbilin
Summer School "Contemporary Mathematics", 2009
July 28, 2009 12:45   
11. A. Alexandrov's uniqueness theorem on convex polytops
N. P. Dolbilin
Summer School "Contemporary Mathematics", 2008
July 28, 2008 15:30   
12. Minkowski theorem on convex polytopes and its applications
N. P. Dolbilin
Summer School "Contemporary Mathematics", 2007
July 21, 2007 17:40   
13. On geometric works of Euler
N. P. Dolbilin
Scientific conference "Leonhard Euler and Contemporary Mathematics"
May 17, 2007
14. A cycle of work on the theory of regular decompositions of spaces
S. S. Ryshkov, M. I. Shtogrin, N. P. Dolbilin
Steklov Mathematical Institute Seminar
March 15, 2001

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