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Karpenkov, Oleg Nikolaevich

Author ID: karpenkov.oleg-nikolaevich Recent zbMATH articles by "Karpenkov, Oleg Nikolaevich"
Published as: Karpenkov, Oleg; Karpenkov, O. N.; Karpenkov, O.; Karpenkov, Oleg N.
Homepage: https://www.liverpool.ac.uk/mathematical-sciences/staff/oleg-karpenkov/
External Links: MGP · ResearchGate · Math-Net.Ru

Publications by Year

Citations contained in zbMATH Open

36 Publications have been cited 186 times in 112 Documents Cited by Year
Geometry of continued fractions. Zbl 1297.11002
Karpenkov, Oleg
51
2013
Euler elasticae in the plane and the Whitney-Graustein theorem. Zbl 1287.57004
Avvakumov, S.; Karpenkov, O.; Sossinsky, A.
13
2013
Elementary notions of lattice trigonometry. Zbl 1155.11035
Karpenkov, Oleg
11
2008
On tori triangulations associated with two-dimensional continued fractions of cubic irrationalities. Zbl 1125.11042
Karpenkov, O. N.
10
2004
On offsets and curvatures for discrete and semidiscrete surfaces. Zbl 1293.53005
Karpenkov, Oleg; Wallner, Johannes
10
2014
Constructing multidimensional periodic continued fractions in the sense of Klein. Zbl 1215.11069
Karpenkov, O. N.
8
2009
On an invariant Möbius measure and the Gauss-Kuzmin face distribution. Zbl 1245.52006
Karpenkov, O. N.
7
2007
On two-dimensional continued fractions of hyperbolic integer matrices with a small norm. Zbl 1160.11336
Karpenkov, O. N.
6
2004
Geometry of configuration spaces of tensegrities. Zbl 1213.05181
Doray, Franck; Karpenkov, Oleg; Schepers, Jan
5
2010
Energies of knot diagrams. Zbl 1279.57007
Karpenkov, O.; Sossinsky, A. B.
5
2011
On irrational lattice angles. Zbl 1246.11128
Karpenkov, Oleg
4
2009
On stratifications for planar tensegrities with a small number of vertices. Zbl 1303.52013
Karpenkov, Oleg; Schepers, Jan; Servatius, Brigitte
4
2013
Generalized Perron identity for broken lines. Zbl 1460.11097
Karpenkov, Oleg; van-Son, Matty
4
2019
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.
4
2010
Möbius energy of graphs. Zbl 1141.57302
Karpenkov, O. N.
3
2006
On examples of difference operators for \(\{0,1\}\)-valued functions over finite sets. Zbl 1196.11036
Karpenkov, Oleg
3
2006
Determination of periods of geometric continued fractions for two-dimensional algebraic hyperbolic operators. Zbl 1287.11087
Karpenkov, O. N.
3
2010
Classification of lattice-regular lattice convex polytopes. Zbl 1196.51011
Karpenkov, Oleg
3
2006
Geometric conditions of rigidity in nongeneric settings. Zbl 1421.52021
Karpenkov, Oleg
3
2019
Multidimensional Gauss reduction theory for conjugacy classes of \(\mathrm{SL}(n,\mathbb Z)\). Zbl 1273.11111
Karpenkov, Oleg
3
2013
Energy of a knot: variational principles. Zbl 1104.58300
Karpenkov, O.
2
2002
Classification of three-dimensional multistoried completely hollow convex marked pyramids. Zbl 1167.11311
Karpenkov, O. N.
2
2005
Geometric criteria for realizability of tensegrities in higher dimensions. Zbl 1462.05113
Karpenkov, Oleg; Mueller, Christian
2
2021
Continued fractions and the second Kepler law. Zbl 1422.11155
Karpenkov, Oleg
2
2011
On Hermite’s problem, Jacobi-Perron type algorithms, and Dirichlet groups. Zbl 1492.11115
Karpenkov, Oleg
2
2022
Three examples of three-dimensional continued fractions in the sense of Klein. Zbl 1102.11007
Karpenkov, Oleg
2
2006
Open problems on configuration spaces of tensegrities. Zbl 1402.52025
Karpenkov, Oleg
2
2018
Geometry of continued fractions. 2nd edition. Zbl 1487.11003
Karpenkov, Oleg N.
1
2022
The combinatorial geometry of stresses in frameworks. Zbl 1456.05120
Karpenkov, Oleg
1
2021
Generalised Markov numbers. Zbl 1454.11127
Karpenkov, Oleg; van Son, Matty
1
2020
Equilibrium stressability of multidimensional frameworks. Zbl 1504.52020
Karpenkov, Oleg; Müller, Christian; Panina, Gaiane; Servatius, Brigitte; Servatius, Herman; Siersma, Dirk
1
2022
Martin integral representation for nonharmonic functions and discrete co-Pizzetti series. Zbl 1436.31027
Boiko, T.; Karpenkov, O.
1
2019
Geometry and combinatoric of Minkowski-Voronoi 3-dimensional continued fractions. Zbl 1364.11133
Karpenkov, Oleg; Ustinov, Alexey
1
2017
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
On Hermite’s problem, Jacobi-Perron type algorithms, and Dirichlet groups. Zbl 1492.11115
Karpenkov, Oleg
2
2022
Geometry of continued fractions. 2nd edition. Zbl 1487.11003
Karpenkov, Oleg N.
1
2022
Equilibrium stressability of multidimensional frameworks. Zbl 1504.52020
Karpenkov, Oleg; Müller, Christian; Panina, Gaiane; Servatius, Brigitte; Servatius, Herman; Siersma, Dirk
1
2022
Geometric criteria for realizability of tensegrities in higher dimensions. Zbl 1462.05113
Karpenkov, Oleg; Mueller, Christian
2
2021
The combinatorial geometry of stresses in frameworks. Zbl 1456.05120
Karpenkov, Oleg
1
2021
Generalised Markov numbers. Zbl 1454.11127
Karpenkov, Oleg; van Son, Matty
1
2020
Generalized Perron identity for broken lines. Zbl 1460.11097
Karpenkov, Oleg; van-Son, Matty
4
2019
Geometric conditions of rigidity in nongeneric settings. Zbl 1421.52021
Karpenkov, Oleg
3
2019
Martin integral representation for nonharmonic functions and discrete co-Pizzetti series. Zbl 1436.31027
Boiko, T.; Karpenkov, O.
1
2019
Open problems on configuration spaces of tensegrities. Zbl 1402.52025
Karpenkov, Oleg
2
2018
Geometry and combinatoric of Minkowski-Voronoi 3-dimensional continued fractions. Zbl 1364.11133
Karpenkov, Oleg; Ustinov, Alexey
1
2017
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
10
2014
Geometry of continued fractions. Zbl 1297.11002
Karpenkov, Oleg
51
2013
Euler elasticae in the plane and the Whitney-Graustein theorem. Zbl 1287.57004
Avvakumov, S.; Karpenkov, O.; Sossinsky, A.
13
2013
On stratifications for planar tensegrities with a small number of vertices. Zbl 1303.52013
Karpenkov, Oleg; Schepers, Jan; Servatius, Brigitte
4
2013
Multidimensional Gauss reduction theory for conjugacy classes of \(\mathrm{SL}(n,\mathbb Z)\). Zbl 1273.11111
Karpenkov, Oleg
3
2013
Energies of knot diagrams. Zbl 1279.57007
Karpenkov, O.; Sossinsky, A. B.
5
2011
Continued fractions and the second Kepler law. Zbl 1422.11155
Karpenkov, Oleg
2
2011
Geometry of configuration spaces of tensegrities. Zbl 1213.05181
Doray, Franck; Karpenkov, Oleg; Schepers, Jan
5
2010
On the flexibility of Kokotsakis meshes. Zbl 1198.52016
Karpenkov, Oleg N.
4
2010
Determination of periods of geometric continued fractions for two-dimensional algebraic hyperbolic operators. Zbl 1287.11087
Karpenkov, O. N.
3
2010
Constructing multidimensional periodic continued fractions in the sense of Klein. Zbl 1215.11069
Karpenkov, O. N.
8
2009
On irrational lattice angles. Zbl 1246.11128
Karpenkov, Oleg
4
2009
Elementary notions of lattice trigonometry. Zbl 1155.11035
Karpenkov, Oleg
11
2008
On an invariant Möbius measure and the Gauss-Kuzmin face distribution. Zbl 1245.52006
Karpenkov, O. N.
7
2007
Completely empty pyramids on integer lattices and two-dimensional faces of multidimensional continued fractions. Zbl 1167.11025
Karpenkov, O. N.
4
2007
Möbius energy of graphs. Zbl 1141.57302
Karpenkov, O. N.
3
2006
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
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.
6
2004
Energy of a knot: variational principles. Zbl 1104.58300
Karpenkov, O.
2
2002
all top 5

Cited by 114 Authors

22 Karpenkov, Oleg Nikolaevich
9 Sosinskiĭ, Alekseĭ Bronislavovich
4 Garrity, Thomas A.
4 Hančl, Jaroslav
4 Murru, Nadir
3 Avvakumov, Sergey Ya.
3 Carl, Wolfgang
3 Illarionov, Andrei A.
3 van Son, Matty
2 Baalbaki, Wael
2 German, Oleg N.
2 Miura, Tatsuya
2 Nguyen, Danny
2 Panina, Gaiane Yu.
2 Spalding, K.
2 Terracini, Lea
2 Urech, Christian
2 Veselov, Alexander Petrovich
2 Yasumoto, Masashi
2 Yoshizawa, Kensuke
1 Arnold, Maxim
1 Arnol’d, Vladimir Igorevich
1 Ashikaga, Tadashi
1 Bahnerová, Silvie
1 Bekki, Hohto
1 Bogart, Tristram
1 Boiko, Tetiana
1 Bonanno, Claudio
1 Castryck, Wouter
1 Dasaratha, Krishna
1 Dayrens, François
1 Del Vigna, Alessio
1 Dunning, Ryan P.
1 Eick, Bettina
1 Esterov, Alexander I.
1 Eydelzon, Anatoly
1 Ferone, Vincenzo
1 Flapan, Laure
1 Garber, Alexeĭ Igorevich
1 Goodrick, John
1 He, An-ling
1 He, Fan
1 He, Xuansen
1 Hockman, Meira
1 Hoffmann, Tim
1 Hofmann, Tommy
1 Isola, Stefano
1 Jimenez, Michael Robert
1 Kala, Vítězslav
1 Kalman, Dan
1 Kawohl, Bernd
1 Kikuta, Kohei
1 Kozlov, Ivan Konstantinovich
1 Kushwaha, Seema
1 Lam, Wai Yeung
1 Lee, Chansoo
1 Lodkin, A. A.
1 Maehara, Hiroshi
1 Martini, Horst
1 Masnou, Simon
1 McDonald, Peter M.
1 McMullen, Peter
1 Mena, Robert
1 Mihaila, Cornelia
1 Molchanov, Ilya S.
1 Morales-Almazán, Pedro
1 Morier-Genoud, Sophie
1 Myslo, Yuliya
1 Nathanson, Melvyn Bernard
1 Nawratil, Georg
1 Neumann-Chun, Nicholas
1 Nitsch, Carlo
1 Nødland, Bernt Ivar Utstøl
1 Novaga, Matteo
1 Novichkov, P. P.
1 O’Brien, Eamonn A.
1 Ovsienko, Valentin Yu.
1 Pahirya, Mykhaĭlo
1 Pak, Igor
1 Peluse, Sarah
1 Penedo, J. T.
1 Petcov, Serguey T.
1 Peters, Justin R.
1 Pottmann, Helmut
1 Power, Stephen Charles
1 Řada, Hanka
1 Romeo, Giuliano
1 Rossman, Wayne
1 Sanyatit, Preechaya
1 Sarma, Ritumoni
1 Schulze, Bernd
1 Servatius, Brigitte
1 Servatius, Herman
1 Short, Ian
1 Sidorov, Sergeĭ Vladimirovich
1 Siersma, Dirk
1 Simmons, David
1 Stachel, Hellmuth
1 Stanier, Margaret Rosemary
1 Starosta, Štěpán
...and 14 more Authors
all top 5

Cited in 74 Serials

5 Mathematical Notes
5 Discrete & Computational Geometry
5 Russian Journal of Mathematical Physics
4 Journal of Number Theory
3 Mathematics of Computation
3 Monatshefte für Mathematik
3 Sbornik: Mathematics
3 The Ramanujan Journal
3 Arnold Mathematical Journal
2 Advances in Mathematics
2 Bulletin of the London Mathematical Society
2 Journal für die Reine und Angewandte Mathematik
2 Mathematische Annalen
2 Journal of Knot Theory and its Ramifications
2 Journal de Théorie des Nombres de Bordeaux
2 Journal of Mathematical Sciences (New York)
2 International Journal of Number Theory
2 Proceedings of the Steklov Institute of Mathematics
2 Functional Analysis and Other Mathematics
1 American Mathematical Monthly
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 Nuclear Physics. B
1 Russian Mathematical Surveys
1 The Mathematical Intelligencer
1 Acta Arithmetica
1 Archiv der Mathematik
1 Commentarii Mathematici Helvetici
1 Functiones et Approximatio. Commentarii Mathematici
1 Inventiones Mathematicae
1 Journal of the London Mathematical Society. Second Series
1 Journal of Pure and Applied Algebra
1 Manuscripta Mathematica
1 Mathematische Zeitschrift
1 Michigan Mathematical Journal
1 Osaka Journal of Mathematics
1 Proceedings of the American Mathematical Society
1 Results in Mathematics
1 SIAM Journal on Computing
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 SIAM Journal on Discrete Mathematics
1 Journal of the Ramanujan Mathematical Society
1 Computational Geometry
1 Aequationes Mathematicae
1 Bulletin of the American Mathematical Society. New Series
1 Expositiones Mathematicae
1 Experimental Mathematics
1 Mathematical Logic Quarterly (MLQ)
1 The Electronic Journal of Combinatorics
1 Advances in Computational Mathematics
1 Izvestiya: Mathematics
1 Discrete and Continuous Dynamical Systems
1 Doklady Mathematics
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Journal for Geometry and Graphics
1 Communications in Contemporary Mathematics
1 Foundations of Computational Mathematics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Chebyshevskiĭ Sbornik
1 Journal of Fixed Point Theory and Applications
1 Advances in Calculus of Variations
1 Ars Mathematica Contemporanea
1 Kyoto Journal of Mathematics
1 Proceedings of the International Geometry Center
1 European Journal of Mathematics
1 Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva
1 The Art of Discrete and Applied Mathematics
all top 5

Cited in 40 Fields

56 Number theory (11-XX)
27 Convex and discrete geometry (52-XX)
15 Differential geometry (53-XX)
9 Manifolds and cell complexes (57-XX)
8 Group theory and generalizations (20-XX)
8 Calculus of variations and optimal control; optimization (49-XX)
7 Algebraic geometry (14-XX)
7 Dynamical systems and ergodic theory (37-XX)
6 Global analysis, analysis on manifolds (58-XX)
5 Combinatorics (05-XX)
5 Geometry (51-XX)
5 Mechanics of deformable solids (74-XX)
3 Field theory and polynomials (12-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Topological groups, Lie groups (22-XX)
3 Measure and integration (28-XX)
3 Partial differential equations (35-XX)
3 Computer science (68-XX)
2 Mathematical logic and foundations (03-XX)
2 Real functions (26-XX)
2 Functions of a complex variable (30-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Difference and functional equations (39-XX)
2 Functional analysis (46-XX)
2 Probability theory and stochastic processes (60-XX)
2 Mechanics of particles and systems (70-XX)
1 History and biography (01-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Commutative algebra (13-XX)
1 Category theory; homological algebra (18-XX)
1 Potential theory (31-XX)
1 Ordinary differential equations (34-XX)
1 Sequences, series, summability (40-XX)
1 Approximations and expansions (41-XX)
1 Integral transforms, operational calculus (44-XX)
1 Numerical analysis (65-XX)
1 Quantum theory (81-XX)
1 Operations research, mathematical programming (90-XX)
1 Biology and other natural sciences (92-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year