Edit Profile Karpenkov, Oleg Nikolaevich Compute Distance To: Compute Author ID: 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 all top 5 Co-Authors 25 single-authored 2 Boiko, Tetiana 2 Schepers, Jan 2 Sosinskiĭ, Alekseĭ Bronislavovich 2 van Son, Matty 1 Avvakumov, Sergey 1 Chernavskij, A. V. 1 Doray, Franck 1 Fuchs, Dmitry Borisovich 1 Gussein-Zade, S. 1 Ilyashenko, Yulij Sergeevich 1 Kirillov, Alexandre Aleksandrovich 1 Lando, Sergei K. 1 Matveev, Sergey Konstantinovich 1 Nair, Radhakrishnan B. 1 Rakhimberdiev, B. 1 Servatius, Brigitte 1 Skopenkov, Mikhail B. 1 Tikhomirov, Vladimir Mikhaĭlovich 1 Tsfasman, Michael A. 1 Ustinov, Alekseĭ Vladimirovich 1 Vasil’ev, Viktor Anatol’evich 1 Verger-Gaugry, Jean-Louis 1 Vershik, Anatoliĭ Moiseevich 1 Wallner, Johannes Peter all top 5 Serials 4 Mathematical Notes 3 Russian Mathematical Surveys 3 Russian Journal of Mathematical Physics 3 Functional Analysis and Other Mathematics 2 Functional Analysis and its Applications 2 Journal of Number Theory 2 Discrete & Computational Geometry 2 Journal de Théorie des Nombres de Bordeaux 2 Arnold Mathematical Journal 1 Mathematics of Computation 1 Beiträge zur Algebra und Geometrie 1 Geometriae Dedicata 1 Manuscripta Mathematica 1 Mathematica Scandinavica 1 Monatshefte für Mathematik 1 Internationale Mathematische Nachrichten 1 Moscow Mathematical Journal 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Proceedings of the Steklov Institute of Mathematics 1 Algorithms and Computation in Mathematics 1 Journal of Fixed Point Theory and Applications 1 Uniform Distribution Theory 1 Ars Mathematica Contemporanea all top 5 Fields 20 Number theory (11-XX) 10 Convex and discrete geometry (52-XX) 7 Combinatorics (05-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Differential geometry (53-XX) 3 Manifolds and cell complexes (57-XX) 2 History and biography (01-XX) 2 Functions of a complex variable (30-XX) 2 Sequences, series, summability (40-XX) 2 Geometry (51-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of particles and systems (70-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 25 Publications have been cited 117 times in 73 Documents Cited by ▼ Year ▼ Geometry of continued fractions. Zbl 1297.11002Karpenkov, Oleg 29 2013 On tori triangulations associated with two-dimensional continued fractions of cubic irrationalities. Zbl 1125.11042Karpenkov, O. N. 10 2004 Elementary notions of lattice trigonometry. Zbl 1155.11035Karpenkov, Oleg 9 2008 On offsets and curvatures for discrete and semidiscrete surfaces. Zbl 1293.53005Karpenkov, Oleg; Wallner, Johannes 7 2014 Constructing multidimensional periodic continued fractions in the sense of Klein. Zbl 1215.11069Karpenkov, O. N. 7 2009 Euler elasticae in the plane and the Whitney-Graustein theorem. Zbl 1287.57004Avvakumov, S.; Karpenkov, O.; Sossinsky, A. 6 2013 On two-dimensional continued fractions of hyperbolic integer matrices with a small norm. Zbl 1160.11336Karpenkov, O. N. 5 2004 Energies of knot diagrams. Zbl 1279.57007Karpenkov, O.; Sossinsky, A. B. 4 2011 On an invariant Möbius measure and the Gauss-Kuzmin face distribution. Zbl 1245.52006Karpenkov, O. N. 4 2007 Completely empty pyramids on integer lattices and two-dimensional faces of multidimensional continued fractions. Zbl 1167.11025Karpenkov, O. N. 4 2007 On the flexibility of Kokotsakis meshes. Zbl 1198.52016Karpenkov, Oleg N. 3 2010 On irrational lattice angles. Zbl 1246.11128Karpenkov, Oleg 3 2009 On examples of difference operators for \(\{0,1\}\)-valued functions over finite sets. Zbl 1196.11036Karpenkov, Oleg 3 2006 Classification of lattice-regular lattice convex polytopes. Zbl 1196.51011Karpenkov, Oleg 3 2006 Möbius energy of graphs. Zbl 1141.57302Karpenkov, O. N. 3 2006 On stratifications for planar tensegrities with a small number of vertices. Zbl 1303.52013Karpenkov, Oleg; Schepers, Jan; Servatius, Brigitte 2 2013 Continued fractions and the second Kepler law. Zbl 1422.11155Karpenkov, Oleg 2 2011 Determination of periods of geometric continued fractions for two-dimensional algebraic hyperbolic operators. Zbl 1287.11087Karpenkov, O. N. 2 2010 Geometry of configuration spaces of tensegrities. Zbl 1213.05181Doray, Franck; Karpenkov, Oleg; Schepers, Jan 2 2010 Three examples of three-dimensional continued fractions in the sense of Klein. Zbl 1102.11007Karpenkov, Oleg 2 2006 Classification of three-dimensional multistoried completely hollow convex marked pyramids. Zbl 1167.11311Karpenkov, O. N. 2 2005 Energy of a knot: variational principles. Zbl 1104.58300Karpenkov, O. 2 2002 Geometric conditions of rigidity in nongeneric settings. Zbl 1421.52021Karpenkov, Oleg 1 2019 Finite and infinitesimal flexibility of semidiscrete surfaces. Zbl 1358.53007Karpenkov, Oleg 1 2015 On existence and uniqueness conditions for an integer triangle with given angles. Zbl 1141.51014Karpenkov, O. N. 1 2006 Geometric conditions of rigidity in nongeneric settings. Zbl 1421.52021Karpenkov, Oleg 1 2019 Finite and infinitesimal flexibility of semidiscrete surfaces. Zbl 1358.53007Karpenkov, Oleg 1 2015 On offsets and curvatures for discrete and semidiscrete surfaces. Zbl 1293.53005Karpenkov, Oleg; Wallner, Johannes 7 2014 Geometry of continued fractions. Zbl 1297.11002Karpenkov, Oleg 29 2013 Euler elasticae in the plane and the Whitney-Graustein theorem. Zbl 1287.57004Avvakumov, S.; Karpenkov, O.; Sossinsky, A. 6 2013 On stratifications for planar tensegrities with a small number of vertices. Zbl 1303.52013Karpenkov, Oleg; Schepers, Jan; Servatius, Brigitte 2 2013 Energies of knot diagrams. Zbl 1279.57007Karpenkov, O.; Sossinsky, A. B. 4 2011 Continued fractions and the second Kepler law. Zbl 1422.11155Karpenkov, Oleg 2 2011 On the flexibility of Kokotsakis meshes. Zbl 1198.52016Karpenkov, Oleg N. 3 2010 Determination of periods of geometric continued fractions for two-dimensional algebraic hyperbolic operators. Zbl 1287.11087Karpenkov, O. N. 2 2010 Geometry of configuration spaces of tensegrities. Zbl 1213.05181Doray, Franck; Karpenkov, Oleg; Schepers, Jan 2 2010 Constructing multidimensional periodic continued fractions in the sense of Klein. Zbl 1215.11069Karpenkov, O. N. 7 2009 On irrational lattice angles. Zbl 1246.11128Karpenkov, Oleg 3 2009 Elementary notions of lattice trigonometry. Zbl 1155.11035Karpenkov, Oleg 9 2008 On an invariant Möbius measure and the Gauss-Kuzmin face distribution. Zbl 1245.52006Karpenkov, O. N. 4 2007 Completely empty pyramids on integer lattices and two-dimensional faces of multidimensional continued fractions. Zbl 1167.11025Karpenkov, O. N. 4 2007 On examples of difference operators for \(\{0,1\}\)-valued functions over finite sets. Zbl 1196.11036Karpenkov, Oleg 3 2006 Classification of lattice-regular lattice convex polytopes. Zbl 1196.51011Karpenkov, Oleg 3 2006 Möbius energy of graphs. Zbl 1141.57302Karpenkov, O. N. 3 2006 Three examples of three-dimensional continued fractions in the sense of Klein. Zbl 1102.11007Karpenkov, Oleg 2 2006 On existence and uniqueness conditions for an integer triangle with given angles. Zbl 1141.51014Karpenkov, O. N. 1 2006 Classification of three-dimensional multistoried completely hollow convex marked pyramids. Zbl 1167.11311Karpenkov, O. N. 2 2005 On tori triangulations associated with two-dimensional continued fractions of cubic irrationalities. Zbl 1125.11042Karpenkov, O. N. 10 2004 On two-dimensional continued fractions of hyperbolic integer matrices with a small norm. Zbl 1160.11336Karpenkov, O. N. 5 2004 Energy of a knot: variational principles. Zbl 1104.58300Karpenkov, O. 2 2002 all cited Publications top 5 cited Publications 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 all top 5 Cited in 30 Fields 38 Number theory (11-XX) 23 Convex and discrete geometry (52-XX) 12 Differential geometry (53-XX) 6 Algebraic geometry (14-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Manifolds and cell complexes (57-XX) 5 Group theory and generalizations (20-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Combinatorics (05-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Geometry (51-XX) 2 Field theory and polynomials (12-XX) 2 Topological groups, Lie groups (22-XX) 2 Real functions (26-XX) 2 Measure and integration (28-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 deformable solids (74-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year