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Dolbilin, Nikolaĭ Petrovich

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Author ID: dolbilin.nikolai-p Recent zbMATH articles by "Dolbilin, Nikolaĭ Petrovich"
Published as: Dolbilin, N. P.; Dolbilin, Nikolai; Dolbilin, Nikolai P.; Dolbilin, Nikolay; Dolbilin, N.; Dolbilin, Nikolai Petrovich; Dolbilin, Nikolaĭ Petrovich; Dolbilin, Nikolay P.
External Links: MGP · ResearchGate · Math-Net.Ru · dblp
Documents Indexed: 72 Publications since 1970
Biographic References: 1 Publication
all top 5

Co-Authors

14 single-authored
26 Shtogrin, Mikhail Ivanovich
18 Shtan’ko, Mikhail Anatol’evich
6 Delone, Boris Nikolaevich
5 Schulte, Egon
4 Ryshkov, Sergeĭ Sergeevich
4 Zinov’ev, Yuriĭ Mikhaĭlovich
3 Bouniaev, Mikhail M.
3 Mishchenko, Aleksandr Sergeevich
3 Musin, Oleg R.
2 Alexandrov, Victor A.
2 Bukhshtaber, Viktor Matveevich
2 Edelsbrunner, Herbert
2 Erokhovets, Nikolaĭ Yur’evich
2 Faddeev, Dmitriĭ Konstantinovich
2 Galiulin, Ravil Vagizovich
2 Garber, Alexeĭ Igorevich
2 Huson, Daniel H.
2 Itoh, Jin-ichi
2 Magazinov, Alexander Nikolaevich
2 Makarov, V. S.
2 Mal’tsev, Arkadiĭ Anatol’evich
2 Nara, Chie
2 Novikov, Sergeĭ Petrovich
2 Schattschneider, Doris J.
2 Senechal, Marjorie Wikler
2 Tanemura, Masaharu
1 Aminov, Yurii Akhmetovich
1 Andreev, N. N.
1 Andreev, Nikolai
1 Baburin, Igor A.
1 Baranovskiĭ, Evgeniĭ Petrovich
1 Bárány, Imre
1 Beklemishev, Lev D.
1 Danzer, Ludwig
1 Dress, Andreas W. M.
1 Fomenko, Valentin Trofimovich
1 Frettlöh, Dirk
1 Gaifullin, Alexander A.
1 Glazyrin, Alexey
1 Konovalov, S. P.
1 Konovalov, Sergei
1 Kovalev, Mikhail D.
1 Kozachok, A. A.
1 Krivovichev, Sergey V.
1 Lagarias, Jeffrey C.
1 Leopold, Undine
1 Orlov, Dmitri O.
1 Panyunin, N. M.
1 Panyunin, Nikita
1 Parshin, Alexei N.
1 Reshetnyak, Yuriĭ Grigor’evich
1 Sabitov, Idzhad Khakovich
1 Sadovnichiĭ, Viktor Antonovich
1 Sedrakyan, Ara
1 Shchepin, Evgenij V.
1 Sheĭnman, Oleg Karlovich
1 Tanemura, Masahara
1 Tarasov, Alexey S.
1 Treshchev, Dmitriĭ Valer’evich
1 Vasil’ev, Viktor Anatol’evich
1 Vesnin, Andrei Yu.
1 Zalgaller, Viktor Abramovich

Publications by Year

Citations contained in zbMATH Open

46 Publications have been cited 145 times in 92 Documents Cited by Year
A local criterion for regularity of a system of points. Zbl 0338.50007
Delone, B. N.; Dolbilin, N. P.; Shtogrin, M. I.; Galiulin, R. V.
20
1976
Multiregular point systems. Zbl 0915.51017
Dolbilin, N. P.; Lagarias, J. C.; Senechal, M.
11
1998
The combinatorial and metric theory of planigons. Zbl 0461.52008
Delone, B. N.; Dolbilin, N. P.; Shtogrin, M. I.
11
1978
Properties of faces of parallelohedra. Zbl 1185.52020
Dolbilin, N. P.
10
2009
Cubic manifolds in lattices. Zbl 0880.57010
Dolbilin, N. P.; Shtan’ko, M. A.; Shtogrin, M. I.
6
1994
The two-dimensional Ising model and the Kac-Ward determinant. Zbl 0990.82003
Dolbilin, N. P.; Zinov’ev, Yu. M.; Mishchenko, A. S.; Shtan’ko, M. A.; Shtogrin, M. I.
5
1999
Minkowski’s theorems on parallelohedra and their generalisations. Zbl 1145.52008
Dolbilin, N. P.
5
2007
The extension theorem. Zbl 0970.52011
Dolbilin, Nikolai P.
4
2000
One Corona is enough for the Euclidean plane. Zbl 0918.52006
Schattschneider, Doris; Dolbilin, Nikolai
4
1998
Combinatorial and metric theory of planigons. Zbl 0473.52009
Delone, B. N.; Dolbilin, N. P.; Shtogrin, M. I.
4
1980
Affine equivalent classes of parallelohedra. Zbl 1349.52013
Dolbilin, Nikolai; Itoh, Jin-ichi; Nara, Chie
4
2011
Locally antipodal Delaunay sets. Zbl 1352.52022
Dolbilin, N. P.; Magazinov, A. N.
4
2015
Delone graphs; some species and local rules. Zbl 0881.05034
Danzer, Ludwig; Dolbilin, Nikolai
3
1997
The countability of a tiling family and the periodicity of a tiling. Zbl 0824.52024
Dolbilin, N.
3
1995
Local properties of discrete regular systems. Zbl 0368.50004
Dolbilin, N. P.
3
1976
Ein neuer Aufbau der Theorie der gitterförmigen Überdeckungen des n- dimensionalen Raumes vermittels gleicher Kugeln. Zbl 0204.55301
Delone, B. N.; Dolbilin, N. P.; Ryshkov, S. S.; Shtogrin, M. I.
3
1970
Boris Nikolaevich Delone (Delaunay): life and work. Zbl 1294.01039
Dolbilin, N. P.
3
2011
Rigidity of a quadrillage of the torus. Zbl 0981.52015
Dolbilin, N. P.; Shtan’ko, M. A.; Shtogrin, M. I.
2
1999
A topology for the family of parametrizations of two-dimensional cycles arising in the three-dimensional Ising model. Zbl 0645.55003
Dolbilin, N. P.; Sedrakyan, A. G.; Shtan’ko, M. A.; Shtogrin, M. I.
2
1987
A stability property of the densest circle packing. Zbl 0653.52009
Bárány, I.; Dolbilin, N. P.
2
1988
Homological properties of dimer configurations for lattices on surfaces. Zbl 0879.60115
Dolbilin, N. P.; Mishchenko, A. S.; Shtan’ko, M. A.; Shtogrin, M. I.; Zinoviev, Yu. M.
2
1996
On rigidity of polyhedral spheres with even-angle faces. Zbl 0874.52012
Dolbilin, N. P.; Shtan’ko, M. A.; Shtogrin, M. I.
2
1996
The local theorem for tilings. Zbl 0918.52007
Dolbilin, Nikolai; Schattschneider, Doris
2
1998
Two finiteness theorems for periodic tilings of \(d\)-dimensional Euclidean space. Zbl 0917.52018
Dolbilin, N. P.; Dress, A. W. M.; Huson, D. H.
2
1998
Parallelohedra: a retrospective and new results. Zbl 1271.52013
Dolbilin, N. P.
2
2012
Cubic subcomplexes in regular lattices. Zbl 0634.51012
Dolbilin, N. P.; Shtan’ko, M. A.; Shtogrin, M. I.
2
1987
Functionals on triangulations of Delaunay sets. Zbl 1315.52016
Dolbilin, Nikolay P.; Edelsbrunner, Herbert; Glazyrin, Alexey; Musin, Oleg R.
2
2014
Extension theorem in the theory of isohedral tilings and its applications. Zbl 1068.52027
Dolbilin, N. P.; Makarov, V. S.
2
2002
Delone sets: local identity and global symmetry. Zbl 1416.52014
Dolbilin, Nikolay
2
2018
Uniqueness theorem for locally antipodal Delaunay sets. Zbl 1365.52020
Dolbilin, N. P.; Magazinov, A. N.
2
2016
Which clusters can form a crystal? Zbl 0955.51012
Dolbilin, Nikolai P.
1
1998
Nonbendability of a division of a sphere into squares. Zbl 0968.52016
Dolbilin, N. P.; Shtan’ko, M. A.; Shtogrin, M. I.
1
1997
The problem of parametrization of cycles modulo 2 in a three-dimensional cubic lattice. Zbl 0654.55005
Dolbilin, N. P.; Shtan’ko, M. A.; Shtogrin, M. I.
1
1988
The problem of parametrization of cycles modulo 2 in a three-dimensional cubic lattice. Zbl 0663.55005
Dolbilin, N. P.; Shtan’ko, M. A.; Shtogrin, M. I.
1
1989
Rigidity of zonohedra. Zbl 0886.52012
Dolbilin, N. P.; Shtan’ko, M. A.; Shtogrin, M. I.
1
1996
Periodic Delone tilings. Zbl 0880.52016
Dolbilin, N. P.; Huson, D. H.
1
1997
The Kac-Ward determinant. Zbl 0990.82001
Dolbilin, N. P.; Zinov’ev, Yu. M.; Mishchenko, A. S.; Shtan’ko, M. A.; Shtogrin, M. I.
1
1999
On the optimality of functionals over triangulations of Delaunay sets. Zbl 1316.52030
Dolbilin, N. P.; Edelsbrunner, H.; Musin, O. R.
1
2012
The local theorem for monotypic tilings. Zbl 1059.52024
Dolbilin, Nikolai; Schulte, Egon
1
2004
Combinatorial problems in the two-dimensional Ising model. Zbl 0744.57008
Dolbilin, N. P.; Shtan’ko, M. A.; Shtogrin, M. I.
1
1991
Quadrillages and parametrizations of lattice cycles. Zbl 0744.57019
Dolbilin, N. P.; Shtan’ko, M. A.; Shtogrin, M. I.
1
1991
Voronoï tilings for the Clifford torus in a 3-sphere. Zbl 1333.52024
Dolbilin, Nikolai; Tanemura, Masahara
1
2008
On the origin of crystallinity: a lower bound for the regularity radius of Delone sets. Zbl 1444.82010
Baburin, Igor A.; Bouniaev, Mikhail; Dolbilin, Nikolay; Erokhovets, Nikolay Yu.; Garber, Alexey; Krivovichev, Sergey V.; Schulte, Egon
1
2018
Properties of Böröczky tilings in high-dimensional hyperbolic spaces. Zbl 1198.52015
Dolbilin, Nikolai; Frettlöh, Dirk
1
2010
A new construction in the theory of lattice coverings of an \(n\)-dimensional space by equal spheres. Zbl 0217.18601
Delone, B. N.; Dolbilin, N. P.; Ryshkov, S. S.; Shtogrin, M. I.
1
1971
Delone sets in \(\mathbb{R}^3\) with \(2R\)-regularity conditions. Zbl 07144713
Dolbilin, N. P.
1
2018
Delone sets: local identity and global symmetry. Zbl 1416.52014
Dolbilin, Nikolay
2
2018
On the origin of crystallinity: a lower bound for the regularity radius of Delone sets. Zbl 1444.82010
Baburin, Igor A.; Bouniaev, Mikhail; Dolbilin, Nikolay; Erokhovets, Nikolay Yu.; Garber, Alexey; Krivovichev, Sergey V.; Schulte, Egon
1
2018
Delone sets in \(\mathbb{R}^3\) with \(2R\)-regularity conditions. Zbl 07144713
Dolbilin, N. P.
1
2018
Uniqueness theorem for locally antipodal Delaunay sets. Zbl 1365.52020
Dolbilin, N. P.; Magazinov, A. N.
2
2016
Locally antipodal Delaunay sets. Zbl 1352.52022
Dolbilin, N. P.; Magazinov, A. N.
4
2015
Functionals on triangulations of Delaunay sets. Zbl 1315.52016
Dolbilin, Nikolay P.; Edelsbrunner, Herbert; Glazyrin, Alexey; Musin, Oleg R.
2
2014
Parallelohedra: a retrospective and new results. Zbl 1271.52013
Dolbilin, N. P.
2
2012
On the optimality of functionals over triangulations of Delaunay sets. Zbl 1316.52030
Dolbilin, N. P.; Edelsbrunner, H.; Musin, O. R.
1
2012
Affine equivalent classes of parallelohedra. Zbl 1349.52013
Dolbilin, Nikolai; Itoh, Jin-ichi; Nara, Chie
4
2011
Boris Nikolaevich Delone (Delaunay): life and work. Zbl 1294.01039
Dolbilin, N. P.
3
2011
Properties of Böröczky tilings in high-dimensional hyperbolic spaces. Zbl 1198.52015
Dolbilin, Nikolai; Frettlöh, Dirk
1
2010
Properties of faces of parallelohedra. Zbl 1185.52020
Dolbilin, N. P.
10
2009
Voronoï tilings for the Clifford torus in a 3-sphere. Zbl 1333.52024
Dolbilin, Nikolai; Tanemura, Masahara
1
2008
Minkowski’s theorems on parallelohedra and their generalisations. Zbl 1145.52008
Dolbilin, N. P.
5
2007
The local theorem for monotypic tilings. Zbl 1059.52024
Dolbilin, Nikolai; Schulte, Egon
1
2004
Extension theorem in the theory of isohedral tilings and its applications. Zbl 1068.52027
Dolbilin, N. P.; Makarov, V. S.
2
2002
The extension theorem. Zbl 0970.52011
Dolbilin, Nikolai P.
4
2000
The two-dimensional Ising model and the Kac-Ward determinant. Zbl 0990.82003
Dolbilin, N. P.; Zinov’ev, Yu. M.; Mishchenko, A. S.; Shtan’ko, M. A.; Shtogrin, M. I.
5
1999
Rigidity of a quadrillage of the torus. Zbl 0981.52015
Dolbilin, N. P.; Shtan’ko, M. A.; Shtogrin, M. I.
2
1999
The Kac-Ward determinant. Zbl 0990.82001
Dolbilin, N. P.; Zinov’ev, Yu. M.; Mishchenko, A. S.; Shtan’ko, M. A.; Shtogrin, M. I.
1
1999
Multiregular point systems. Zbl 0915.51017
Dolbilin, N. P.; Lagarias, J. C.; Senechal, M.
11
1998
One Corona is enough for the Euclidean plane. Zbl 0918.52006
Schattschneider, Doris; Dolbilin, Nikolai
4
1998
The local theorem for tilings. Zbl 0918.52007
Dolbilin, Nikolai; Schattschneider, Doris
2
1998
Two finiteness theorems for periodic tilings of \(d\)-dimensional Euclidean space. Zbl 0917.52018
Dolbilin, N. P.; Dress, A. W. M.; Huson, D. H.
2
1998
Which clusters can form a crystal? Zbl 0955.51012
Dolbilin, Nikolai P.
1
1998
Delone graphs; some species and local rules. Zbl 0881.05034
Danzer, Ludwig; Dolbilin, Nikolai
3
1997
Nonbendability of a division of a sphere into squares. Zbl 0968.52016
Dolbilin, N. P.; Shtan’ko, M. A.; Shtogrin, M. I.
1
1997
Periodic Delone tilings. Zbl 0880.52016
Dolbilin, N. P.; Huson, D. H.
1
1997
Homological properties of dimer configurations for lattices on surfaces. Zbl 0879.60115
Dolbilin, N. P.; Mishchenko, A. S.; Shtan’ko, M. A.; Shtogrin, M. I.; Zinoviev, Yu. M.
2
1996
On rigidity of polyhedral spheres with even-angle faces. Zbl 0874.52012
Dolbilin, N. P.; Shtan’ko, M. A.; Shtogrin, M. I.
2
1996
Rigidity of zonohedra. Zbl 0886.52012
Dolbilin, N. P.; Shtan’ko, M. A.; Shtogrin, M. I.
1
1996
The countability of a tiling family and the periodicity of a tiling. Zbl 0824.52024
Dolbilin, N.
3
1995
Cubic manifolds in lattices. Zbl 0880.57010
Dolbilin, N. P.; Shtan’ko, M. A.; Shtogrin, M. I.
6
1994
Combinatorial problems in the two-dimensional Ising model. Zbl 0744.57008
Dolbilin, N. P.; Shtan’ko, M. A.; Shtogrin, M. I.
1
1991
Quadrillages and parametrizations of lattice cycles. Zbl 0744.57019
Dolbilin, N. P.; Shtan’ko, M. A.; Shtogrin, M. I.
1
1991
The problem of parametrization of cycles modulo 2 in a three-dimensional cubic lattice. Zbl 0663.55005
Dolbilin, N. P.; Shtan’ko, M. A.; Shtogrin, M. I.
1
1989
A stability property of the densest circle packing. Zbl 0653.52009
Bárány, I.; Dolbilin, N. P.
2
1988
The problem of parametrization of cycles modulo 2 in a three-dimensional cubic lattice. Zbl 0654.55005
Dolbilin, N. P.; Shtan’ko, M. A.; Shtogrin, M. I.
1
1988
A topology for the family of parametrizations of two-dimensional cycles arising in the three-dimensional Ising model. Zbl 0645.55003
Dolbilin, N. P.; Sedrakyan, A. G.; Shtan’ko, M. A.; Shtogrin, M. I.
2
1987
Cubic subcomplexes in regular lattices. Zbl 0634.51012
Dolbilin, N. P.; Shtan’ko, M. A.; Shtogrin, M. I.
2
1987
Combinatorial and metric theory of planigons. Zbl 0473.52009
Delone, B. N.; Dolbilin, N. P.; Shtogrin, M. I.
4
1980
The combinatorial and metric theory of planigons. Zbl 0461.52008
Delone, B. N.; Dolbilin, N. P.; Shtogrin, M. I.
11
1978
A local criterion for regularity of a system of points. Zbl 0338.50007
Delone, B. N.; Dolbilin, N. P.; Shtogrin, M. I.; Galiulin, R. V.
20
1976
Local properties of discrete regular systems. Zbl 0368.50004
Dolbilin, N. P.
3
1976
A new construction in the theory of lattice coverings of an \(n\)-dimensional space by equal spheres. Zbl 0217.18601
Delone, B. N.; Dolbilin, N. P.; Ryshkov, S. S.; Shtogrin, M. I.
1
1971
Ein neuer Aufbau der Theorie der gitterförmigen Überdeckungen des n- dimensionalen Raumes vermittels gleicher Kugeln. Zbl 0204.55301
Delone, B. N.; Dolbilin, N. P.; Ryshkov, S. S.; Shtogrin, M. I.
3
1970
all top 5

Cited by 109 Authors

11 Dolbilin, Nikolaĭ Petrovich
5 Grishukhin, Vyacheslav Petrovich
4 Senechal, Marjorie Wikler
4 Zamorzaeva, Elizaveta
3 Bouniaev, Mikhail M.
3 Garber, Alexeĭ Igorevich
3 Lis, Marcin
3 Mignosi, Filippo
3 Schulte, Egon
3 Shtogrin, Mikhail Ivanovich
2 Blanc, Xavier
2 Cimasoni, David
2 de las Penas, Ma. Louise Antonette N.
2 Durand, Bruno
2 Dutour-Sikiric, Mathieu
2 Epifanio, Chiara
2 Frettlöh, Dirk
2 Gavrilyuk, A. A.
2 Huson, Daniel H.
2 Krivovichev, Sergey V.
2 Le Bris, Claude
2 Lions, Pierre-Louis
2 Magazinov, Alexander Nikolaevich
2 Musin, Oleg R.
2 Ryshkov, Sergeĭ Sergeevich
2 Tarasov, Alexey S.
1 Adler, Vsevolod Eduardovich
1 Akiyama, Jin
1 Akiyama, Shigeki
1 Alexandrov, Victor A.
1 Alicandro, Roberto
1 Amendola, Gennaro
1 Baake, Michael
1 Baburin, Igor A.
1 Baek, Jongmin
1 Bagina, Ol’ga Georgievna
1 Baker, Timothy J.
1 Bezdek, Károly
1 Caroli, Manuel
1 Cicalese, Marco
1 Danilov, Vladimir I.
1 Davydov, Youri
1 Delgado-Friedrichs, Olaf
1 Deza, Michel Marie
1 Dickinson, William C.
1 Dolson, Jennifer
1 Dress, Andreas W. M.
1 Duke, Andrew C.
1 Duval, Jean-Pierre
1 Edelsbrunner, Herbert
1 Erokhovets, Nikolaĭ Yur’evich
1 Evans, Myfanwy E.
1 Funar, Louis
1 Glazyrin, Alexey
1 Gloria, Antoine
1 Goodman-Strauss, Chaim
1 Grigorieva, Elena Gennadievna
1 Grigor’yan, Alexander Asaturovich
1 Gruber, Peter Manfred
1 Grünbaum, Branko
1 Guillot, Daniel
1 Helmuth, Tyler
1 Hofstetter, Kurt
1 Horvath, J. G.
1 Huck, Christian
1 Imai, Katsunobu
1 James, Richard D.
1 Jiménez Benitez, Rolando
1 Kager, Wouter
1 Keaton, Anna
1 Klyachin, Vladimir Aleksandrovich
1 Kolbe, Benedikt
1 Koskas, Michel
1 Lagarias, Jeffrey C.
1 Leopold, Undine
1 Makarov, P. V.
1 Makarov, V. S.
1 McColm, Gregory L.
1 Meester, Ronald W. J.
1 Melotti, Paul
1 Michel, Louis
1 Molchanov, Ilya S.
1 Muranov, Yuriĭ Vladimirovich
1 Nardone, Mario
1 Nikitenko, Anton V.
1 Novikov, Sergeĭ Petrovich
1 Pébay, Philippe P.
1 Pham, Anh Minh
1 Restivo, Antonio
1 Sabitov, Idzhad Khakovich
1 Sato, Ikuro
1 Scharlau, Rudolf
1 Schürmann, Achill
1 Schwartz, Alexander
1 Seong, Hyunwoo
1 Shephard, Geoffrey Colin
1 Taganap, Eduard C.
1 Tanemura, Masaharu
1 Taylor, Jean Ellen
1 Teillaud, Monique
...and 9 more Authors
all top 5

Cited in 44 Serials

14 Proceedings of the Steklov Institute of Mathematics
7 Mathematical Notes
7 Theoretical Computer Science
5 Communications in Mathematical Physics
4 Geometriae Dedicata
4 Discrete & Computational Geometry
3 European Journal of Combinatorics
3 Buletinul Academiei de Științe a Republicii Moldova. Matematica
2 Archive for Rational Mechanics and Analysis
2 Journal of Mathematical Physics
2 Siberian Mathematical Journal
2 Journal of Mathematical Sciences (New York)
1 Computers & Mathematics with Applications
1 Discrete Mathematics
1 Journal of the Mechanics and Physics of Solids
1 Journal of Statistical Physics
1 Physics Reports
1 Russian Mathematical Surveys
1 Mathematics of Computation
1 The Mathematical Intelligencer
1 Beiträge zur Algebra und Geometrie
1 Annales de l’Institut Fourier
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Journal of Combinatorial Theory. Series A
1 Journal of Geometry
1 Transactions of the Moscow Mathematical Society
1 Combinatorica
1 Acta Applicandae Mathematicae
1 Bulletin of the American Mathematical Society. New Series
1 Expositiones Mathematicae
1 Journal of Mathematical Imaging and Vision
1 Experimental Mathematics
1 Bernoulli
1 Sbornik: Mathematics
1 Annals of Combinatorics
1 Algebraic & Geometric Topology
1 Forma
1 Journal of Statistical Mechanics: Theory and Experiment
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Chebyshevskiĭ Sbornik
1 Journal of Mathematics and the Arts
1 Acta Crystallographica. Section A
1 Winter Braids Lecture Notes

Citations by Year