Persons: Dolbilin Nikolai Petrovich

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Dolbilin Nikolai Petrovich

Statistics Math-Net.Ru
Total publications:	21
Scientific articles:	17
Citations to the author:	26
Cited articles:	14
Citing authors:	13
Presentations:	2

Number of views:
This page:	660
Abstract pages:	1393
Full texts:	222
References:	71

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:

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

Publications in Math-Net.Ru

1.	Properties of Faces of Parallelohedra N. P. Dolbilin Tr. Mat. Inst. Steklova, 2009, 266, 112–126
2.	Minkowski's theorems on parallelohedra and their generalisations N. P. Dolbilin UMN, 2007, 62:4(376), 157–158
3.	Extension Theorem in the Theory of Isohedral Tilings and Its Applications N. P. Dolbilin, V. S. Makarov Tr. 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. Shtogrin Izv. 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. Shtogrin UMN, 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. Shtogrin Tr. 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. Shtogrin UMN, 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. Shtogrin Funkts. 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. Shtogrin UMN, 1996, 51:3(309), 197–198
10.	Rigidity of zonohedra N. P. Dolbilin, M. A. Shtan'ko, M. I. Shtogrin UMN, 1996, 51:2(308), 157–158
11.	Cubic manifolds in lattices N. P. Dolbilin, M. A. Shtan'ko, M. I. Shtogrin Izv. RAN. Ser. Mat., 1994, 58:2, 93–107
12.	Quadrillages and parametrizations of lattice cycles N. P. Dolbilin, M. A. Shtan'ko, M. I. Shtogrin Trudy Mat. Inst. Steklov., 1992, 193, 108–114
13.	Quadrillages and parametrizations of lattice cycles N. P. Dolbilin, M. A. Shtan'ko, M. I. Shtogrin Trudy 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. Shtogrin Trudy 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. Shtogrin Izv. 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. Shtogrin Trudy 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. Shtogrin Izv. 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. Fomenko UMN, 2008, 63:6(384), 183–186
19.	Sergei Sergeevich Ryshkov (On his 70th Birthday) E. P. Baranovskii, N. P. Dolbilin, A. A. Mal'tsev Tr. 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. Shtogrin UMN, 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. Shtogrin Trudy 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

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