Dolbilin, Nikolai Petrovich

Total publications: 107 (81)
in MathSciNet: 68 (59)
in zbMATH: 57 (51)
in Web of Science: 42 (36)
in Scopus: 40 (36)
Cited articles: 50
Citations in Math-Net.Ru: 170
Citations in MathSciNet: 155
Citations in Web of Science: 201
Citations in Scopus: 175
Presentations: 20

Number of views:
This page:9638
Abstract pages:14561
Full texts:4917
Dolbilin, Nikolai Petrovich
Doctor of physico-mathematical sciences (2000)
Speciality: 01.01.04 (Geometry and topology)
Keywords: lattices and tilings of space, crystals and quasicrystals, aperiodic tilings, polytopes, Rigid and flexible polyhedra, Ising model, mathematics education.


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. Stanko, and M. I. Stogrin).
  • Multiregular point systems // Discr. and Comput. Geometry, 20, 1998, 477–498 (jointly with J. C. Lagarias and M. Seneshal).
List of publications on Google Scholar

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

1. Nikolay Dolbilin, “Local groups in Delone sets”, Lecture Notes in Computational Sciences and Engineering by Springer International Publishing, vol. 143, (2021), 10 pp. (Published online) , arXiv: 2011.00558
2. Nikolay Dolbilin,, “Foreword to the volume”, Lecture Notes in Computational Sciences and Engineering by Springer International Publishing, 143, (2021), 2pp. (Published online)
3. N. P. Dolbilin, M. I. Shtogrin, “O kristallografichnosti lokalnykh grupp mnozhestva Delone na evklidovoi ploskosti”, Zh. vychisl. matem. i matem. fiz., 2021, 1-12 (to appear)
4. Nikolay Dolbilin, Alexey Garber, Undine Leopold, Egon Schulte, Marjorie Senechal, “On the regularity radius of Delone sets in $\mathbb R^3$”, Discrete Comput. Geom., 66 (2021), 996–1024 , arXiv: 1909.05805  mathnet  crossref  isi  scopus;

5. Mikhail M. Bouniaev, Nikolay P. Dolbilin, Mikhail I. Shtogrin, “Tilings by hexagonal prisms and embeddings into primitive cubic networks”, Acta Crystallogr. Sect. A, 76:5 (2020), 627–629  mathnet  crossref  isi  scopus

6. N. Dolbilin, M. Bouniaev, “Regular $t$-bonded systems in $R^3$”, European J. Combin., 80 (2019), 89–101  mathnet  crossref  mathscinet  zmath  isi  scopus (cited: 1)
7. N. P. Dolbilin, “Ot lokalnoi identichnosti k globalnomu poryadku”, Diskretnaya matematika i ee prilozheniya, Materialy XIII Mezhdunarodnogo seminara imeni akademika O.B. Lupanova (Moskva, 17-22 iyunya 2019 g.), Izd-vo mekhaniko-matematicheskogo fakulteta MGU, M., 2019 , 10 pp.  elib
8. N. P. Dolbilin, Kvant, 2019, no. 1, 12–20  mathnet  crossref
9. V. A. Alexandrov, L. D. Beklemishev, V. M. Buchstaber, A. Yu. Vesnin, A. A. Gaifullin, N. P. Dolbilin, N. Yu. Erokhovets, M. D. Kovalev, V. S. Makarov, S. P. Novikov, D. O. Orlov, A. N. Parshin, I. Kh. Sabitov, D. V. Treschev, O. K. Sheinman, E. V. Shchepin, “Mikhail Ivanovich Shtogrin (on his 80th birthday)”, Russian Math. Surveys, 74:6 (2019), 1159–1162  mathnet  crossref  crossref  mathscinet  adsnasa  isi
10. N. P. Dolbilin, “Geometricheskaya kristallografiya”, Matematicheskaya sostavlyayuschaya, 2-e izd., rassh. i dop., eds. N. N. Andreev, S. P. Konovalov, N. M. Panyunin, Matematicheskie etyudy, M., 2019, 214

11. Mikhail Bouniaev, Nikolay Dolbilin, “The local theory for regular systems in the context of $t$-bonded sets”, Symmetry, 10:5 (2018), 159 , 17 pp.  mathnet  crossref  isi  scopus
12. N. P. Dolbilin, “Delone sets in $\mathbb R^3$ with $2R$-regularity conditions”, Proc. Steklov Inst. Math., 302 (2018), 161–185  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib  scopus (cited: 2)
13. N. Dolbilin, “Delone Sets: Local Identity and Global Symmetry”, Discrete Geometry and Symmetry, Geometry and Symmetry Conference GSC 2015, Springer Volume dedicated to the 60th anniversary of Professors Karoly Bezdek and Egon Schulte, Springer Proc. Math. Statist., 234, Springer, Cham, 2018, 109–125  mathnet  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 5)
14. I. A. Baburin, M. Bouniaev, N. Dolbilin, N. Yu. Erokhovets, A. Garber, S. V. Krivovichev, E. Schulte, “On the origin of crystallinity: on a lower bound for the regularity radius of Delone sets”, Acta Crystallogr. Sect. A, 74:6 (2018), 616–629  mathnet  crossref  mathscinet  isi (cited: 8)  scopus (cited: 9)
15. N. P. Dolbilin, Kvant, 2018, no. 12, 2–7  mathnet  crossref
16. N. P. Dolbilin, “Georgy Feodosevich Voronoy (1868–1908)”, Chebyshevskii Sb., 19:3 (2018), 318–327  mathnet  crossref  elib

17. Mikhail Bouniaev, Nikolai Dolbilin, “Regular and Multiregular $t$-Systems”, J. Inform. Proc., 25 (2017), 735–740  mathnet  crossref  mathscinet  scopus (cited: 2)

18. 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 (cited: 1)
19. 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 (cited: 4)  elib  elib  scopus (cited: 5)
20. 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  mathscinet  isi (cited: 7)  elib  scopus (cited: 11)
21. 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
22. N. P. Dolbilin, “Mnozhestva Delone v $\mathbb{R}^3$: uslovie pravilnosti”, Fundament. i prikl. matem., 21:6 (2016), 115–141  mathnet (cited: 5)  mathnet (cited: 5)  mathscinet

23. 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)
24. 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: 6)  elib  elib  scopus (cited: 7)
25. 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  elib
26. 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

27. 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: 2)  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 1)  scopus (cited: 3)
28. 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
29. Gyunter M. Tsigler, Teoriya mnogogrannikov, perevod s angliiskogo pod redaktsiei N. P. Dolbilina, MTsNMO, M., 2014 , 565 pp., Predislovie redaktora perevoda
30. 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

31. 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
32. 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
33. 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
34. 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
35. 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
36. 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

37. 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  adsnasa  isi (cited: 2)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 3)
38. N. P. Dolbilin, Trans. Moscow Math. Soc., 2012, 207–220  mathnet  crossref  mathscinet  zmath  elib  elib  scopus (cited: 3)
39. 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
40. 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

41. 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  zmath  isi (cited: 3)  elib (cited: 2)  scopus (cited: 5)
42. 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
43. 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)

44. 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  zmath  isi (cited: 3)  elib (cited: 2)  scopus (cited: 3)
45. N. P. Dolbilin, M. A. Kozachok, “Polytopes with centrally symmetric faces”, Chebyshev Sb., XI:1(33) (2010), 109–115  mathnet  mathscinet  zmath  elib
46. N. P. Dolbilin, “Mnogogrannyi Delone”, Kvant, 1–2 (2010), 2–7, 2–9  mathnet
47. N. Dolbilin, Kvant, 2010, no. 2, 2–9  mathnet

48. N. P. Dolbilin, “Properties of Faces of Parallelohedra”, Proc. Steklov Inst. Math., 266 (2009), 105–119  mathnet  crossref  mathscinet  zmath  isi (cited: 9)  elib (cited: 5)  elib (cited: 5)  scopus (cited: 6)
49. 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

50. 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
51. 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
52. 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
53. 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
54. N. Dolbilin, Kvant, 2008, no. 1, 9–14  mathnet

55. 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: 4)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 3)

56. N. Dolbilin, M. Tanemura, “How many facets on average can a tile have in a tiling?”, Forma, 21:3 (2006), 177–196  mathscinet
57. N. P. Dolbilin, A. A. Maltsev, “Sergei Sergeevich Ryshkov”, Chebyshevskii sb., 7:2(18) (2006), 4–12  mathscinet  zmath
58. N. Dolbilin, Kvant, 2006, no. 4, 2–8  mathnet

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

60. N. Dolbilin, E. Schulte, “The local theorem for monotypic tilings”, Electron. J. Combin., 11:2 (2004), Research Paper 7 , 19 pp.  mathscinet  zmath  isi (cited: 4)

61. 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
62. 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

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

64. N. P. Dolbilin, “The extension theorem”, Discrete Math., 221:1-3, Selected papers in honor of Ludwig Danzer (2000), 43–59  crossref  mathscinet  zmath  isi (cited: 6)  elib (cited: 9)  scopus (cited: 7)
65. N. Dolbilin, “Self-similar mosaics”, Quantum, 10:6 (2000), 4–9  mathscinet
66. 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.

67. 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: 4)  scopus (cited: 2)
68. 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)
69. 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

70. N. P. Dolbilin, J. C. Lagarias, M. Senechal, “Multiregular point systems”, Discrete Comput. Geom., 20:4 (1998), 477–498  crossref  mathscinet  zmath  isi (cited: 29)  elib (cited: 23)  scopus (cited: 36)
71. N. P. Dolbilin, “Rigidity of convex polyhedrons”, Quantum, 9:1 (1998), 8–13  mathscinet
72. 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  zmath
73. 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  zmath
74. 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  zmath  isi (cited: 2)  elib (cited: 1)  scopus (cited: 2)
75. 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)
76. 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

77. 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  zmath  elib (cited: 2)  scopus (cited: 13)
78. 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)
79. 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  zmath  isi (cited: 3)
80. N.P. Dolbilin, “Igra “Khaos” i fraktaly”, Kvant, 4 (1997), 2–9  mathnet

81. 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: 13)  elib (cited: 10)  scopus (cited: 14)
82. 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)
83. 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: 2)  scopus (cited: 1)

84. 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  zmath  isi (cited: 5)  elib (cited: 3)  scopus (cited: 6)
85. N. P. Dolbilin, M. A. Shtan'ko, M. I. Shtogrin, “Cubic manifolds in lattices”, Russian Acad. Sci. Izv. Math., 44:2 (1995), 301–313  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 13)  scopus (cited: 9)

86. N. P. Dolbilin, M. A. Shtan'ko, M. I. Shtogrin, “Quadrillages and parametrizations of lattice cycles”, Proc. Steklov Inst. Math., 193 (1993), 117–123  mathnet  mathscinet  zmath

87. N. P. Dolbilin, M. A. Shtan'ko, M. I. Shtogrin, “Quadrillages and parametrizations of lattice cycles”, Proc. Steklov Inst. Math., 196 (1992), 73–93  mathnet  mathscinet  zmath
88. 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  mathnet  mathscinet  zmath

89. 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  scopus

90. 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  mathnet  mathscinet  zmath

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

92. I. Bárány, N. P. Dolbilin, “A stability property of the densest circle packing”, Monatsh. Math., 106:2 (1988), 107–114  crossref  mathscinet  zmath  isi (cited: 5)  scopus (cited: 5)

93. 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  mathnet  crossref  mathscinet  zmath  isi  scopus

94. N. P. Dolbilin, M. I. Shtogrin, “Lokalnyi kriterii dlya kristallicheskikh struktur”, Tezisy IX Vsesoeznoi Geometricheskoi konferentsii (Kishinev, 1988), Institut matematiki AN MSSR, 1988, s. 99
95. N. P. Dolbilin, “Zhestkost vypuklykh mnogogrannikov”, Kvant, 5 (1988), 6–14

96. N. P. Dolbilin, “A characteristic of lattices and the inhomogeneous Minkowski problem”, Studia Sci. Math. Hungar., 22:1-4 (1987), 107–113  mathscinet  zmath

97. 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  mathnet  mathscinet  zmath  isi (cited: 6)

98. 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  zmath  isi (cited: 5)
99. N. P. Dolbilin, “Pik Delone”, Kvant, 3 (1986), 10–16  mathnet

100. B. N. Delone, N. P. Dolbilin, M. I. Shtogrin, “Combinatorial and metric theory of planigons”, Proc. Steklov Inst. Math., 148 (1980), 111–141  mathnet  mathscinet  zmath

101. N. P. Dolbilin, Symmetry, News in Science, Znanie [Knowledge] Publishing House, Moscow, 1978 , 65 pp.

102. N. P. Dolbilin, “O lokalnykh svoistvakh diskretnykh pravilnykh sistem”, Dokl. AN SSSR, 230:3 (1976), 516–519  mathnet (cited: 4)  mathscinet  mathscinet  zmath  isi (cited: 5)
103. 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  mathnet (cited: 12)  mathscinet  mathscinet  zmath  isi (cited: 35)

104. 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  mathnet  mathscinet  mathscinet  zmath

105. 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  mathnet  mathscinet  mathscinet  zmath

106. 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

107. 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  scopus (cited: 2)

Presentations in Math-Net.Ru
1. On Crystallinity of $2R$-isometric Delone Sets: New Results and Open Problems
Nikolay Dolbilin
XVI International Conference «Algebra, Number Theory and Discrete Geometry: modern problems, applications and problems of history» dedicated to the 80th anniversary of the birth of Professor Michel Desa
May 14, 2019 09:00
2. Локальные условия регулярности дискретных множеств
N. P. Dolbilin
Steklov Mathematical Institute Seminar
June 21, 2018 16:00   
3. Delone sets and the regularity radius
N. P. Dolbilin
XV International Conference «Algebra, Number Theory and Discrete Geometry: modern problems and applications», dedicated to the centenary of the birth of the Doctor of Physical and Mathematical Sciences, Professor of the Moscow State University Korobov Nikolai Mikhailovich
May 30, 2018 09:50
4. Locally Isometric Delone Sets
Nikolay P. Dolbilin
International conference "Algebraic Topology, Combinatorics, and Mathematical Physics" on occasion of Victor Buchstaber's 75th birthday
May 29, 2018 10:00   
5. Множества Делоне с транзитивной группой
N. P. Dolbilin
Mathematical Colloquium of the Bauman Moscow State Technical University
April 19, 2018 17:30
6. Local conditions for the regularity of discrete sets
N. P. Dolbilin
Scientific session of the Steklov Mathematical Institute of RAS dedicated to the results of 2017
November 29, 2017 11:15   
7. Множества Делоне с транзитивной группой симметрий
N. P. Dolbilin
Seminar by Department of Discrete Mathematic, Steklov Mathematical Institute of RAS
October 3, 2017 14:00
8. On the regular systems
N. P. Dolbilin
А.A.Karatsuba's 80th Birthday Conference in Number Theory and Applications
May 26, 2017 13:20   
9. 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   
10. 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
11. Локальные теоремы о структуре кристаллов
N. P. Dolbilin
Discrete and Computational Geometry
March 11, 2014 13:00
12. Polytopes with centrally symmetric faces and parallelohedra
N. P. Dolbilin
Discrete and Computational Geometry
October 2, 2013 13:00
13. Polytopes with centrally symmetrical faces and Parallelohedra
N. P. Dolbilin
International Conference "Geometry Days in Novosibirsk, 2013"
August 28, 2013 11:10   
14. 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   
15. 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   
16. Теоремы Минковского о параллелоэдрах
N. P. Dolbilin
Summer School "Contemporary Mathematics", 2009
July 28, 2009 12:45   
17. A. Alexandrov's uniqueness theorem on convex polytops
N. P. Dolbilin
Summer School "Contemporary Mathematics", 2008
July 28, 2008 15:30   
18. Minkowski theorem on convex polytopes and its applications
N. P. Dolbilin
Summer School "Contemporary Mathematics", 2007
July 21, 2007 17:40   
19. On geometric works of Euler
N. P. Dolbilin
Scientific conference "Leonhard Euler and Contemporary Mathematics"
May 17, 2007
20. 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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