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Karpenkov, Oleg Nikolaevich

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Author ID: karpenkov.oleg-nikolaevich Recent zbMATH articles by "Karpenkov, Oleg Nikolaevich"
Published as: Karpenkov, O.; Karpenkov, O. N.; Karpenkov, Oleg; Karpenkov, Oleg N.
Homepage: https://www.liverpool.ac.uk/mathematical-sciences/staff/oleg-karpenkov/
External Links: MGP · Math-Net.Ru · ResearchGate
Documents Indexed: 38 Publications since 2002, including 1 Book
Reviewing Activity: 153 Reviews

Publications by Year

Citations contained in zbMATH

25 Publications have been cited 117 times in 73 Documents Cited by Year
Geometry of continued fractions. Zbl 1297.11002
Karpenkov, Oleg
29
2013
On tori triangulations associated with two-dimensional continued fractions of cubic irrationalities. Zbl 1125.11042
Karpenkov, O. N.
10
2004
Elementary notions of lattice trigonometry. Zbl 1155.11035
Karpenkov, Oleg
9
2008
On offsets and curvatures for discrete and semidiscrete surfaces. Zbl 1293.53005
Karpenkov, Oleg; Wallner, Johannes
7
2014
Constructing multidimensional periodic continued fractions in the sense of Klein. Zbl 1215.11069
Karpenkov, O. N.
7
2009
Euler elasticae in the plane and the Whitney-Graustein theorem. Zbl 1287.57004
Avvakumov, S.; Karpenkov, O.; Sossinsky, A.
6
2013
On two-dimensional continued fractions of hyperbolic integer matrices with a small norm. Zbl 1160.11336
Karpenkov, O. N.
5
2004
Energies of knot diagrams. Zbl 1279.57007
Karpenkov, O.; Sossinsky, A. B.
4
2011
On an invariant Möbius measure and the Gauss-Kuzmin face distribution. Zbl 1245.52006
Karpenkov, O. N.
4
2007
Completely empty pyramids on integer lattices and two-dimensional faces of multidimensional continued fractions. Zbl 1167.11025
Karpenkov, O. N.
4
2007
On the flexibility of Kokotsakis meshes. Zbl 1198.52016
Karpenkov, Oleg N.
3
2010
On irrational lattice angles. Zbl 1246.11128
Karpenkov, Oleg
3
2009
On examples of difference operators for \(\{0,1\}\)-valued functions over finite sets. Zbl 1196.11036
Karpenkov, Oleg
3
2006
Classification of lattice-regular lattice convex polytopes. Zbl 1196.51011
Karpenkov, Oleg
3
2006
Möbius energy of graphs. Zbl 1141.57302
Karpenkov, O. N.
3
2006
On stratifications for planar tensegrities with a small number of vertices. Zbl 1303.52013
Karpenkov, Oleg; Schepers, Jan; Servatius, Brigitte
2
2013
Continued fractions and the second Kepler law. Zbl 1422.11155
Karpenkov, Oleg
2
2011
Determination of periods of geometric continued fractions for two-dimensional algebraic hyperbolic operators. Zbl 1287.11087
Karpenkov, O. N.
2
2010
Geometry of configuration spaces of tensegrities. Zbl 1213.05181
Doray, Franck; Karpenkov, Oleg; Schepers, Jan
2
2010
Three examples of three-dimensional continued fractions in the sense of Klein. Zbl 1102.11007
Karpenkov, Oleg
2
2006
Classification of three-dimensional multistoried completely hollow convex marked pyramids. Zbl 1167.11311
Karpenkov, O. N.
2
2005
Energy of a knot: variational principles. Zbl 1104.58300
Karpenkov, O.
2
2002
Geometric conditions of rigidity in nongeneric settings. Zbl 1421.52021
Karpenkov, Oleg
1
2019
Finite and infinitesimal flexibility of semidiscrete surfaces. Zbl 1358.53007
Karpenkov, Oleg
1
2015
On existence and uniqueness conditions for an integer triangle with given angles. Zbl 1141.51014
Karpenkov, O. N.
1
2006
Geometric conditions of rigidity in nongeneric settings. Zbl 1421.52021
Karpenkov, Oleg
1
2019
Finite and infinitesimal flexibility of semidiscrete surfaces. Zbl 1358.53007
Karpenkov, Oleg
1
2015
On offsets and curvatures for discrete and semidiscrete surfaces. Zbl 1293.53005
Karpenkov, Oleg; Wallner, Johannes
7
2014
Geometry of continued fractions. Zbl 1297.11002
Karpenkov, Oleg
29
2013
Euler elasticae in the plane and the Whitney-Graustein theorem. Zbl 1287.57004
Avvakumov, S.; Karpenkov, O.; Sossinsky, A.
6
2013
On stratifications for planar tensegrities with a small number of vertices. Zbl 1303.52013
Karpenkov, Oleg; Schepers, Jan; Servatius, Brigitte
2
2013
Energies of knot diagrams. Zbl 1279.57007
Karpenkov, O.; Sossinsky, A. B.
4
2011
Continued fractions and the second Kepler law. Zbl 1422.11155
Karpenkov, Oleg
2
2011
On the flexibility of Kokotsakis meshes. Zbl 1198.52016
Karpenkov, Oleg N.
3
2010
Determination of periods of geometric continued fractions for two-dimensional algebraic hyperbolic operators. Zbl 1287.11087
Karpenkov, O. N.
2
2010
Geometry of configuration spaces of tensegrities. Zbl 1213.05181
Doray, Franck; Karpenkov, Oleg; Schepers, Jan
2
2010
Constructing multidimensional periodic continued fractions in the sense of Klein. Zbl 1215.11069
Karpenkov, O. N.
7
2009
On irrational lattice angles. Zbl 1246.11128
Karpenkov, Oleg
3
2009
Elementary notions of lattice trigonometry. Zbl 1155.11035
Karpenkov, Oleg
9
2008
On an invariant Möbius measure and the Gauss-Kuzmin face distribution. Zbl 1245.52006
Karpenkov, O. N.
4
2007
Completely empty pyramids on integer lattices and two-dimensional faces of multidimensional continued fractions. Zbl 1167.11025
Karpenkov, O. N.
4
2007
On examples of difference operators for \(\{0,1\}\)-valued functions over finite sets. Zbl 1196.11036
Karpenkov, Oleg
3
2006
Classification of lattice-regular lattice convex polytopes. Zbl 1196.51011
Karpenkov, Oleg
3
2006
Möbius energy of graphs. Zbl 1141.57302
Karpenkov, O. N.
3
2006
Three examples of three-dimensional continued fractions in the sense of Klein. Zbl 1102.11007
Karpenkov, Oleg
2
2006
On existence and uniqueness conditions for an integer triangle with given angles. Zbl 1141.51014
Karpenkov, O. N.
1
2006
Classification of three-dimensional multistoried completely hollow convex marked pyramids. Zbl 1167.11311
Karpenkov, O. N.
2
2005
On tori triangulations associated with two-dimensional continued fractions of cubic irrationalities. Zbl 1125.11042
Karpenkov, O. N.
10
2004
On two-dimensional continued fractions of hyperbolic integer matrices with a small norm. Zbl 1160.11336
Karpenkov, O. N.
5
2004
Energy of a knot: variational principles. Zbl 1104.58300
Karpenkov, O.
2
2002
all top 5

Cited by 76 Authors

17 Karpenkov, Oleg Nikolaevich
6 Sosinskiĭ, Alekseĭ Bronislavovich
4 Murru, Nadir
3 Avvakumov, Sergey
3 Carl, Wolfgang
3 Illarionov, Andrei A.
3 van Son, Matty
2 Garrity, Thomas A.
2 Müller, Christian R.
2 Terracini, Lea
2 Urech, Christian
1 Arnol’d, Vladimir Igorevich
1 Ashikaga, Tadashi
1 Bekki, Hohto
1 Castryck, Wouter
1 Dasaratha, Krishna
1 Dayrens, François
1 Dunning, Ryan P.
1 Esterov, Alexander I.
1 Ferone, Vincenzo
1 Flapan, Laure
1 Garber, Alexeĭ Igorevich
1 Hančl, Jaroslav
1 He, An-ling
1 He, Fan
1 He, Xuansen
1 Hockman, Meira
1 Jimenez, Michael R.
1 Kawohl, Bernd
1 Kikuta, Kohei
1 Krishnan, Raishma
1 Kushwaha, Seema
1 Kushwaha, Shivam
1 Lam, Wai Yeung
1 Lee, Chansoo
1 Lerner, Éduard Yul’evich
1 Lodkin, A. A.
1 Maehara, Hiroshi
1 Martini, Horst
1 Masnou, Simon
1 McDonald, Peter M.
1 McMullen, Peter
1 Mihaila, Cornelia
1 Miura, Tatsuya
1 Molchanov, Ilya S.
1 Morales-Almazán, Pedro
1 Morier-Genoud, Sophie
1 Nathanson, Melvyn Bernard
1 Neumann-Chun, Nicholas
1 Nitsch, Carlo
1 Nødland, Bernt Ivar Utstøl
1 Novaga, Matteo
1 Ovsienko, Valentin Yu.
1 Peluse, Sarah
1 Peters, Justin R.
1 Pottmann, Helmut
1 Power, Stephen Charles
1 Ramos, A. Diaz
1 Rossman, Wayne
1 Sanyatit, Preechaya
1 Sarma, Rishabh
1 Sarma, Ritumoni
1 Schulze, Bernd
1 Simmons, David
1 Spalding, K.
1 Stachel, Hellmuth
1 Stoffregen, Matthew
1 Toom, André
1 Ustinov, Alekseĭ Vladimirovich
1 Vandehey, Joseph
1 Vershik, Anatoliĭ Moiseevich
1 Veselov, Alexander Petrovich
1 Wallner, Johannes Peter
1 Weiss, Barak
1 Yasumoto, Masashi
1 Živaljević, Rade T.
all top 5

Cited in 45 Serials

5 Discrete & Computational Geometry
5 Russian Journal of Mathematical Physics
4 Journal of Number Theory
3 Mathematical Notes
3 Mathematics of Computation
3 Monatshefte für Mathematik
3 Sbornik: Mathematics
3 Arnold Mathematical Journal
2 Advances in Mathematics
2 Mathematische Annalen
2 Journal de Théorie des Nombres de Bordeaux
2 The Ramanujan Journal
2 International Journal of Number Theory
2 Proceedings of the Steklov Institute of Mathematics
2 Functional Analysis and Other Mathematics
1 Discrete Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Statistical Physics
1 Lithuanian Mathematical Journal
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Bulletin of the London Mathematical Society
1 Commentarii Mathematici Helvetici
1 Functiones et Approximatio. Commentarii Mathematici
1 Inventiones Mathematicae
1 Journal of Pure and Applied Algebra
1 Journal für die Reine und Angewandte Mathematik
1 Manuscripta Mathematica
1 Mathematische Zeitschrift
1 Michigan Mathematical Journal
1 Osaka Journal of Mathematics
1 Transactions of the Moscow Mathematical Society
1 European Journal of Combinatorics
1 Circuits, Systems, and Signal Processing
1 Acta Mathematica Hungarica
1 Computer Aided Geometric Design
1 Aequationes Mathematicae
1 Journal of Knot Theory and its Ramifications
1 Journal of Mathematical Sciences (New York)
1 Advances in Computational Mathematics
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Communications in Contemporary Mathematics
1 Foundations of Computational Mathematics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of Fixed Point Theory and Applications
1 Kyoto Journal of Mathematics

Citations by Year