Dolbilin Nikolai Petrovich
Statistics Math-Net.Ru
Total publications:
21
Scientific articles:
17
Citations to the author:
40
Cited articles:
14
Citing authors:
13
Presentations:
3
Number of views:
This page: 849 Abstract pages: 1830 Full texts: 332 References: 94
Scientific degree:
Doctor of physico-mathematical sciences (2001)
Speciality:
01.01.04 (Geometry and topology)
Phone:
+7 (499) 135 14 90
Fax:
+7 (499) 135 05 55
E-mail:
dolbilin®mi.ras¸ru
Keywords:
lattices and tilings in $n$ dimensions; quasicrystals, aperiodic tilings; Rigid and flexible polyhedra; Ising model; mathematics education.
UDC:
511.9 , 514.1 , 514.174 , 514.172.45 , 514.154 , 511 , 515.162 , 514.87 , 512.817.7 , 513
MSC:
552A15 , 52B11 , 52B70 , 52C05 , 52C07 , 52C17 , 52C22 , 52C23 , 97-01
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).
List of publications on Google Scholar
List of publications on ZentralBlatt
Personal webpage on MathSciNet
Publications in Math-Net.Ru
1.
Properties of Faces of Parallelohedra N. P. DolbilinTr. Mat. Inst. Steklova , 2009 , 266 , 112–126
2.
Minkowski's theorems on parallelohedra and their generalisations N. P. DolbilinUspekhi Mat. Nauk , 2007 , 62 :4(376), 157–158
3.
Extension Theorem in the Theory of Isohedral Tilings and Its Applications N. P. Dolbilin, V. S. MakarovTr. Mat. Inst. Steklova , 2002 , 239 , 146–169
4.
The two-dimensional Ising model and the Kac–Ward determinant N. P. Dolbilin, Yu. M. Zinoviev, A. S. Mishchenko, M. A. Shtan'ko, M. I. ShtogrinIzv. RAN. Ser. Mat. , 1999 , 63 :4, 79–100
5.
Rigidity of a quadrillage of the torus N. P. Dolbilin, M. A. Shtan'ko, M. I. ShtogrinUspekhi Mat. Nauk , 1999 , 54 :4(328), 167–168
6.
The Kac–Ward Determinant N. P. Dolbilin, Yu. M. Zinoviev, A. S. Mishchenko, M. A. Shtan'ko, M. I. ShtogrinTr. Mat. Inst. Steklova , 1999 , 225 , 177–194
7.
The Kac–Ward combinatorial method N. P. Dolbilin, Yu. M. Zinoviev, M. A. Shtan'ko, M. I. ShtogrinUspekhi Mat. Nauk , 1998 , 53 :6(324), 247–248
8.
Homological Properties of Dimer Configurations for Lattices on Surfaces N. P. Dolbilin, Yu. M. Zinoviev, A. S. Mishchenko, M. A. Shtan'ko, M. I. ShtogrinFunkts. Anal. Prilozh. , 1996 , 30 :3, 19–33
9.
On rigidity of polyhedral spheres with even-angle faces N. P. Dolbilin, M. A. Shtan'ko, M. I. ShtogrinUspekhi Mat. Nauk , 1996 , 51 :3(309), 197–198
10.
Rigidity of zonohedra N. P. Dolbilin, M. A. Shtan'ko, M. I. ShtogrinUspekhi Mat. Nauk , 1996 , 51 :2(308), 157–158
11.
Cubic manifolds in lattices N. P. Dolbilin, M. A. Shtan'ko, M. I. ShtogrinIzv. RAN. Ser. Mat. , 1994 , 58 :2, 93–107
12.
Quadrillages and parametrizations of lattice cycles N. P. Dolbilin, M. A. Shtan'ko, M. I. ShtogrinTrudy Mat. Inst. Steklov. , 1992 , 193 , 108–114
13.
Quadrillages and parametrizations of lattice cycles N. P. Dolbilin, M. A. Shtan'ko, M. I. ShtogrinTrudy Mat. Inst. Steklov. , 1991 , 196 , 66–85
14.
Combinatorial questions of the two-dimensional Ising model N. P. Dolbilin, M. A. Shtan'ko, M. I. ShtogrinTrudy Mat. Inst. Steklov. , 1991 , 196 , 51–65
15.
The problem of parametrization of cycles modulo 2 in a three-dimensional cubic lattice N. P. Dolbilin, M. A. Shtan'ko, M. I. ShtogrinIzv. Akad. Nauk SSSR Ser. Mat. , 1988 , 52 :2, 355–377
16.
Combinatorial and metric theory of planigons B. N. Delone, N. P. Dolbilin, M. I. ShtogrinTrudy Mat. Inst. Steklov. , 1978 , 148 , 109–140
17.
A new construction in the theory of lattice coverings of an $n$ -dimensional space by equal spheres B. N. Delone, N. P. Dolbilin, S. S. Ryshkov, M. I. ShtogrinIzv. Akad. Nauk SSSR Ser. Mat. , 1970 , 34 :2, 289–298
18.
Idzhad Khakovich Sabitov (on his 70th birthday) 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. FomenkoUspekhi Mat. Nauk , 2008 , 63 :6(384), 183–186
19.
Sergei Sergeevich Ryshkov (On his 70th Birthday) E. P. Baranovskii, N. P. Dolbilin, A. A. Mal'tsevTr. Mat. Inst. Steklova , 2002 , 239 , 7–19
20.
Sergei Sergeevich Ryshkov (on his sixtieth birthday) E. P. Baranovskii, N. P. Dolbilin, V. S. Makarov, A. A. Mal'tsev, S. P. Novikov, M. I. ShtogrinUspekhi Mat. Nauk , 1991 , 46 :3(279), 227–229
21.
Boris Nikolaevich Delone. On his life and creative work D. K. Faddeev, N. P. Dolbilin, S. S. Ryshkov, M. I. ShtogrinTrudy Mat. Inst. Steklov. , 1991 , 196 , 3–10
Presentations
Minkowski theorem on convex polytopes and its applications
Lectures of the Summer School "Contemporary Mathematics"
July 21, 2007 17:40
A. Alexandrov's uniqueness theorem on convex polytops
Lectures of the Summer School "Contemporary Mathematics"
July 28, 2008 15:30
Opening ceremony of the conference “GEOMETRY, TOPOLOGY, ALGEBRA and NUMBER THEORY, APPLICATIONS”
International conference "GEOMETRY, TOPOLOGY, ALGEBRA and NUMBER THEORY, APPLICATIONS" dedicated to the 120th anniversary of Boris Delone (1890–1980)
August 16, 2010 09:45
Organisations