Persons: Dolbilin, Nikolay Petrovich

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Dolbilin, Nikolay Petrovich

Statistics
in MathSciNet:	72 (63)
in zbMATH:	61 (54)
in Web of Science:	47 (41)
in Scopus:	45 (41)

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. Stanko, and M. I. Stogrin).
Multiregular point systems // Discr. and Comput. Geometry, 20, 1998, 477–498 (jointly with J. C. Lagarias and M. Seneshal).

https://www.mathnet.ru/eng/person8890

https://ru.wikipedia.org/wiki/Dolbilin,_Nikolai_Petrovich

List of publications on Google Scholar

https://zbmath.org/authors/ai:dolbilin.nikolai-p

https://mathscinet.ams.org/mathscinet/MRAuthorID/238380

https://elibrary.ru/author_items.asp?authorid=4571

https://www.webofscience.com/wos/author/record/Q-5832-2016

https://www.scopus.com/authid/detail.url?authorId=6602708068

https://www.researchgate.net/profile/Nikolai_Dolbilin

List of publications:

scientific publications

		Citations (Crossref Cited-By Service + Math-Net.Ru)

1.	N. P. Dolbilin, “Delone sets: local rules, countable families and periodicity”, Lobachevskii J. Math., 46:3 (2025), 1040–1056
2.	Nikolay Dolbilin, Alexey Garber, Egon Schulte, Marjorie Senechal, “Bounds for the regularity radius of Delone sets”, Discrete Comput. Geom., 74 (2025), 78–94 , arXiv: 2306.11127	1 ^[x]
3.	N. P. Dolbilin, M. I. Shtogrin, “On isometric embeddings of prisms”, Sb. Math., 215:2 (2024), 157–168
4.	N. P. Dolbilin, “Local Theory of Regular Systems and Delone Sets”, Proc. Steklov Inst. Math., 325 (2024), 120–135
5.	Nikolay Dolbilin, “G.F. Voronoy: from Numbers to Parallelohedra”, Saint Petersburg Mathematicians and their Discoveries, Matematiki Sankt-Peterburga i ikh otkrytiya. Sb. statei na angliiskom yazyke, eds. Editors: Nikita Kalinin, Stanislav Smirnov, Nikolai Reshetikhin et al., MCCME, Moscow, 2024, 174-189 https://sites.google.com/view/spbmath
6.	Nikolay Dolbilin, “Boris Delone and Diophantine equations of degree three”, Saint Petersburg Mathematicians and their Discoveries, eds. Nikita Kalinin, Stanislav Smirnov, Nikolai Reshetikhin et al., MCCME, Moscow, 2024, 263–266 https://sites.google.com/view/spbmath
7.	N. P. Dolbilin, M. I. Shtogrin, “Mnozhestva i razbieniya Delone: lokalnyi podkhod”, Toricheskaya topologiya, deistviya grupp, geometriya i kombinatorika. Chast 2, Sbornik statei, Trudy MIAN, 318, MIAN, M., 2022, 73–98	2 ^[x]
8.	N. P. Dolbilin, M. I. Shtogrin, “Crystallographic properties of local groups of a Delone set in a Euclidean plane”, Comput. Math. Math. Phys., 62:8 (2022), 1265–1274
9.	N. P. Dolbilin, M. I. Shtogrin, “Local groups in Delone sets in the Euclidean space”, Acta Crystallogr. Sect. A, 78 (2022), 452–478	1 ^[x]
10.	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	12 ^[x]
11.	Nikolay Dolbilin, “Local groups in Delone sets”, Numerical Geometry, Grid Generation and Scientific Computing, Lect. Notes Comput. Sci. Eng., 143, Springer, Cham, 2021, 3–11 , arXiv: 2011.00558	4 ^[x]
12.	N. P. Dolbilin, M. I. Shtogrin, “Local groups in Delone sets: a conjecture and results”, Russian Math. Surveys, 76:6 (2021), 1137–1139
13.	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
14.	N. Dolbilin, M. Bouniaev, “Regular $t$-bonded systems in $R^3$”, European J. Combin., 80 (2019), 89–101	2 ^[x]
15.	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.
16.	Mikhail Bouniaev, Nikolay Dolbilin, “The local theory for regular systems in the context of $t$-bonded sets”, Symmetry, 10:5 (2018), 159 , 17 pp.	1 ^[x]
17.	N. P. Dolbilin, “Delone sets in $\mathbb R^3$ with $2R$-regularity conditions”, Proc. Steklov Inst. Math., 302 (2018), 161–185
18.	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	5 ^[x]
19.	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	20 ^[x]
20.	Mikhail Bouniaev, Nikolai Dolbilin, “Regular and Multiregular $t$-Systems”, J. Inform. Proc., 25 (2017), 735–740
21.	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
22.	N. P. Dolbilin, A. N. Magazinov, “Uniqueness theorem for locally antipodal Delaunay sets”, Proc. Steklov Inst. Math., 294 (2016), 215–221
23.	Nikolay Dolbilin, “Delone sets with congruent clusters”, Structural Chemistry, 26:6, Dedicated to the 75th anniversary of academician V. Ya. Schevchenko (2016), 1725–1732	13 ^[x]
24.	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
25.	N. P. Dolbilin, “Delone sets in $\mathbb{R}^3$: regularity conditions”, J. Math. Sci., 248:6 (2020), 743–761
26.	N. P. Dolbilin, “Kriterii kristalla i lokalno antipodalnye mnozhestva Delone”, Trudy Mezhdunarodnoi konferentsii “Kvantovaya topologiya”, Vestnik ChelGU, no. 3 (358), 2015, 6–17	4 ^[x]
27.	N. P. Dolbilin, A. N. Magazinov, “Locally antipodal Delaunay sets”, Russian Math. Surveys, 70:5 (2015), 958–960
28.	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
29.	N. P. Dolbilin, H. Edelsbrunner, A. A. Glazyrin, O. R. Musin, “Functionals on Delaunay triangulations”, Mosc. Math. J., 14:3 (2014), 491–504	3 ^[x]
30.	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
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
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
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 http://www.mathematik.uni-wuerzburg.de/~oswald/voronoiconf.pdf
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 http://vmb70.mi.ras.ru/abstracts.pdf
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
38.	N. P. Dolbilin, Trans. Moscow Math. Soc., 2012, 207–220
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
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
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	4 ^[x]
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. Dolbilin, D. Frettlöh, “Properties of Böröczky tilings in high-dimensional hyperbolic spaces”, European J. Combin., 31:4 (2010), 1181–1195 , arXiv: 0705.0291	2 ^[x]
44.	N. P. Dolbilin, M. A. Kozachok, “Polytopes with centrally symmetric faces”, Chebyshev Sb., XI:1(33) (2010), 109–115
45.	N. P. Dolbilin, “Properties of Faces of Parallelohedra”, Proc. Steklov Inst. Math., 266 (2009), 105–119
46.	N. Dolbilin, E. Schulte, “A local characterization of combinatorial multihedrality in tilings”, Contrib. Discrete Math., 4:1 (2009), 1–11 , arXiv: 0809.2291
47.	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
48.	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
49.	N. P. Dolbilin, “Minkowski's theorems on parallelohedra and their generalisations”, Russian Math. Surveys, 62:4 (2007), 793–795
50.	N. P. Dolbilin, “Teoremy Minkovskogo o vypuklykh mnogogrannikakh i paralleloedrakh”, Materialy IX Mezhdunarodnogo seminara “Diskretnaya matematika i ee prilozheniya”, posvyaschennogo 75-letiyu so dnya rozhdeniya akademika O.B. Lupanova (Moskva, 18–23 iyunya 2007 g.), eds. Red. O.M. Kasim-Zade, Izd. mekhaniko-matematicheskogo fakulteta MGU, Moskva, 2007, 43–49
51.	N. Dolbilin, M. Tanemura, “How many facets on average can a tile have in a tiling?”, Forma, 21:3 (2006), 177–196
52.	N. Dolbilin, M. Tanemura, “On tilings whose tiles have many facets”, Rev. Roumaine Math. Pures Appl., 50:5-6 (2005), 595–611
53.	Dolbilin N, Itoh Y. and Poyarkov A., “On random tilings and packings of space by cubes”, The Proceedings of COE workshop on sphere packings., Kuyshu University,, Fukuoka, 2005, 70–79
54.	N. Dolbilin, E. Schulte, “The local theorem for monotypic tilings”, Electron. J. Combin., 11:2 (2004), Research Paper 7 , 19 pp.	4 ^[x]
55.	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
56.	N. P. Dolbilin, “The extension theorem”, Discrete Math., 221:1-3, Selected papers in honor of Ludwig Danzer (2000), 43–59	6 ^[x]
57.	N. Dolbilin, “Self-similar mosaics”, Quantum, 10:6 (2000), 4–9
58.	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
59.	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
60.	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
61.	N. P. Dolbilin, J. C. Lagarias, M. Senechal, “Multiregular point systems”, Discrete Comput. Geom., 20:4 (1998), 477–498	30 ^[x]
62.	N. P. Dolbilin, “Rigidity of convex polyhedrons”, Quantum, 9:1 (1998), 8–13
63.	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
64.	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
65.	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	1 ^[x]
66.	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
67.	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
68.	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	10 ^[x]
69.	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
70.	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
71.	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
72.	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
73.	N. P. Dolbilin, M. A. Shtan'ko, M. I. Shtogrin, “Rigidity of zonohedra”, Russian Math. Surveys, 51:2 (1996), 326–328
74.	N. Dolbilin, “The countability of a tiling family and the periodicity of a tiling”, Discrete Comput. Geom., 13:3-4 (1995), 405–414	10 ^[x]
75.	N. P. Dolbilin, M. A. Shtan'ko, M. I. Shtogrin, “Cubic manifolds in lattices”, Russian Acad. Sci. Izv. Math., 44:2 (1995), 301–313
76.	N. P. Dolbilin, M. A. Shtan'ko, M. I. Shtogrin, “Quadrillages and parametrizations of lattice cycles”, Proc. Steklov Inst. Math., 193 (1993), 117–123
77.	N. P. Dolbilin, M. A. Shtan'ko, M. I. Shtogrin, “Quadrillages and parametrizations of lattice cycles”, Proc. Steklov Inst. Math., 196 (1992), 73–93
78.	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
79.	I. Bárány, N. P. Dolbilin, “A stability property of the densest circle packing”, Monatsh. Math., 106:2 (1988), 107–114	4 ^[x]
80.	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
81.	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
82.	N. P. Dolbilin, “A characteristic of lattices and the inhomogeneous Minkowski problem”, Studia Sci. Math. Hungar., 22:1-4 (1987), 107–113
83.	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
84.	N. P. Dolbilin, M. A. Shtanko, M. I. Shtogrin, “Kubicheskie podkompleksy v pravilnykh reshetkakh”, Dokl. AN SSSR, 291:2 (1986), 277–279	7 ^[x]
85.	B. N. Delone, N. P. Dolbilin, M. I. Shtogrin, “Combinatorial and metric theory of planigons”, Proc. Steklov Inst. Math., 148 (1980), 111–141
86.	N. P. Dolbilin, “O lokalnykh svoistvakh diskretnykh pravilnykh sistem”, Dokl. AN SSSR, 230:3 (1976), 516–519	5 ^[x]
87.	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	16 ^[x]
88.	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
89.	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
90.	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
91.	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
92.	N. Dolbilin, Kvant, 2023, no. 7, 2–10
93.	N. Dolbilin, Kvant, 2023, no. 6, 15–23
94.	Nikolay Dolbilin, “Foreword”, Numerical Geometry, Grid Generation and Scientific Computing, Lect. Notes Comput. Sci. Eng., 143, 2021, vii-viii https://link.springer.com/content/pdf/bfm
95.	N. P. Dolbilin, Kvant, 2019, no. 1, 12–20
96.	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
97.	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 https://book.etudes.ru/toc/crystallography/
98.	N. P. Dolbilin, Kvant, 2018, no. 12, 2–7
99.	N. P. Dolbilin, “Georgy Feodosevich Voronoy (1868–1908)”, Chebyshevskii Sb., 19:3 (2018), 318–327
100.	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
101.	Gyunter M. Tsigler, Teoriya mnogogrannikov, perevod s angliiskogo pod redaktsiei N. P. Dolbilina, MTsNMO, M., 2014 , 565 pp., Predislovie redaktora perevoda
102.	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	1 ^[x]
103.	N. P. Dolbilin, “Boris Nikolaevich Delone (Delaunay): life and work”, Proc. Steklov Inst. Math., 275 (2011), 1–14
104.	N. P. Dolbilin, “Mnogogrannyi Delone”, Kvant, 1–2 (2010), 2–7, 2–9 http://elementy.ru/lib/431017
105.	N. Dolbilin, Kvant, 2010, no. 2, 2–9
106.	N. Dolbilin, E. Schulte, “Special issue in honor of Ludwig Danzer's 80th birthday (Foreword)”, European J. Combin., 29:8 (2008), 1801–1802
107.	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
108.	N. Dolbilin, Kvant, 2008, no. 1, 9–14
109.	N. P. Dolbilin, A. A. Maltsev, “Sergei Sergeevich Ryshkov”, Chebyshevskii sb., 7:2(18) (2006), 4–12
110.	N. Dolbilin, Kvant, 2006, no. 4, 2–8
111.	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
112.	N. Dolbilin, “Tri teoremy o vypuklykh mnogogrannikakh”, Kvant, 5,6 (2001), 7–12, 3–10
113.	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.
114.	N.P. Dolbilin, “Igra “Khaos” i fraktaly”, Kvant, 4 (1997), 2–9
115.	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
116.	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
117.	N. P. Dolbilin, “Boris Nikolaevich Delone (on the centennial of his birth)”, Matematika v shkole, 1990, no. 1, i, 68–70
118.	N. P. Dolbilin, “Zhestkost vypuklykh mnogogrannikov”, Kvant, 5 (1988), 6–14 http://kvant.mccme.ru/au/dolbilin_n.htm
119.	N. P. Dolbilin, “Pik Delone”, Kvant, 3 (1986), 10–16 http://kvant.mccme.ru/1986/03/pik_delone.htm
120.	N. P. Dolbilin, Symmetry, News in Science, Znanie [Knowledge] Publishing House, Moscow, 1978 , 65 pp.

Presentations in Math-Net.Ru

1.	От многогранника к развертке и обратно Николай Долбилин Mathematical seminar Faculty of Computer Science HSE November 14, 2025 18:10
2.	От многогранника к развертке и обратно. N. P. Dolbilin Workshop on the discrete geometry and the geometry of numbers November 12, 2025 17:00
3.	Delone sets: local rules, countable families and periodicity N. P. Dolbilin Differential geometry and applications September 22, 2025 16:45
4.	Множества Делоне: локальные правила, счетность семейства и периодичность. (Продолжение доклада от 28.05.25) N. P. Dolbilin Workshop on the discrete geometry and the geometry of numbers September 17, 2025 18:30
5.	Множества Делоне: локальные правила и периодичность. N. P. Dolbilin Workshop on the discrete geometry and the geometry of numbers May 28, 2025 16:45
6.	Local Conditions of Crystal Structures N. P. Dolbilin Beijing–Moscow Mathematics Colloquium June 2, 2023 12:00
7.	Локальные группы в множествах Делоне: новые гипотезы и результаты N. P. Dolbilin XXI International Conference «Algebra, Number Theory, Discrete Geometry and Multiscale Modeling: Modern Problems, Applications and Problems of History», Dedicated to the 85th Anniversaryof the Birth of A. A. Karatsuba May 17, 2022 15:00
8.	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
9.	Локальные условия регулярности дискретных множеств N. P. Dolbilin Steklov Mathematical Institute Seminar June 21, 2018 16:00
10.	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
11.	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
12.	Множества Делоне с транзитивной группой N. P. Dolbilin Mathematical Colloquium of the Bauman Moscow State Technical University April 19, 2018 17:30
13.	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
14.	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
15.	On the regular systems N. P. Dolbilin А.A.Karatsuba's 80th Birthday Conference in Number Theory and Applications May 26, 2017 13:20
16.	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
17.	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
18.	Локальные теоремы о структуре кристаллов N. P. Dolbilin Discrete and Computational Geometry March 11, 2014 13:00
19.	Polytopes with centrally symmetric faces and parallelohedra N. P. Dolbilin Discrete and Computational Geometry October 2, 2013 13:00
20.	Polytopes with centrally symmetrical faces and Parallelohedra N. P. Dolbilin International Conference "Geometry Days in Novosibirsk, 2013" August 28, 2013 11:10
21.	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
22.	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
23.	Теоремы Минковского о параллелоэдрах N. P. Dolbilin Summer School "Contemporary Mathematics", 2009 July 28, 2009 12:45
24.	A. Alexandrov's uniqueness theorem on convex polytops N. P. Dolbilin Summer School "Contemporary Mathematics", 2008 July 28, 2008 15:30
25.	Minkowski theorem on convex polytopes and its applications N. P. Dolbilin Summer School "Contemporary Mathematics", 2007 July 21, 2007 17:40
26.	On geometric works of Euler N. P. Dolbilin Scientific conference "Leonhard Euler and Contemporary Mathematics" May 17, 2007
27.	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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