Edit Profile (opens in new tab) Siburg, Karl Friedrich Compute Distance To: Compute Author ID: siburg.karl-friedrich Published as: Siburg, Karl Friedrich; Siburg, Karl F.; Siburg, K. F. more...less Documents Indexed: 26 Publications since 1993, including 1 Book Co-Authors: 13 Co-Authors with 16 Joint Publications 378 Co-Co-Authors all top 5 Co-Authors 10 single-authored 7 Stoimenov, Pavel A. 3 Peyerimhoff, Norbert 2 Polterovich, Leonid Viktorovich 2 Strothmann, Christopher 1 Castle, Simon 1 Dette, Holger 1 Hellermann, Klaus 1 Knauf, Andreas 1 Parker, John R. 1 Paternain, Gabriel Pedro 1 Schulz, Frank 1 Stehling, Katharina 1 Weiß, Gregor N. F. all top 5 Serials 3 Journal of Mathematical Analysis and Applications 2 Israel Journal of Mathematics 2 Statistical Papers 1 Mathematische Semesterberichte 1 Metrika 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Nonlinearity 1 Scandinavian Journal of Statistics 1 Commentarii Mathematici Helvetici 1 Duke Mathematical Journal 1 Manuscripta Mathematica 1 Ergodic Theory and Dynamical Systems 1 Insurance Mathematics & Economics 1 Communications in Statistics. Theory and Methods 1 L’Enseignement Mathématique. 2e Série 1 Calculus of Variations and Partial Differential Equations 1 Mathematical Research Letters 1 Discrete and Continuous Dynamical Systems 1 Conformal Geometry and Dynamics 1 Moscow Mathematical Journal 1 Lecture Notes in Mathematics all top 5 Fields 14 Dynamical systems and ergodic theory (37-XX) 7 Differential geometry (53-XX) 7 Statistics (62-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Probability theory and stochastic processes (60-XX) 2 Functional analysis (46-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 22 Publications have been cited 178 times in 148 Documents Cited by ▼ Year ▼ Gluing copulas. Zbl 1292.60025Siburg, Karl Friedrich; Stoimenov, Pavel A. 32 2008 A measure of mutual complete dependence. Zbl 1182.62124Siburg, Karl Friedrich; Stoimenov, Pavel A. 22 2010 Boundary rigidity for Lagrangian submanifolds, non-removable intersections, and Aubry-Mather theory. Zbl 1048.53058Paternain, Gabriel P.; Polterovich, Leonid; Siburg, Karl Friedrich 22 2003 The principle of least action in geometry and dynamics. Zbl 1060.37048Siburg, Karl Friedrich 19 2004 A scalar product for copulas. Zbl 1151.46023Siburg, Karl Friedrich; Stoimenov, Pavel A. 14 2008 A copula-based non-parametric measure of regression dependence. Zbl 1259.62050Dette, Holger; Siburg, Karl F.; Stoimenov, Pavel A. 14 2013 New minimal geodesics in the group of symplectic diffeomorphisms. Zbl 0828.58028Siburg, Karl Friedrich 10 1995 Symplectic capacities in two dimensions. Zbl 0791.58043Siburg, Karl Friedrich 10 1993 Action-minimizing measures and the geometry of the Hamiltonian diffeomorphism group. Zbl 1054.37506Siburg, Karl Friedrich 6 1998 Symplectic invariants of elliptic fixed points. Zbl 0985.37054Siburg, Karl Friedrich 4 2000 An order of asymmetry in copulas, and implications for risk management. Zbl 1373.62231Siburg, Karl Friedrich; Stehling, Katharina; Stoimenov, Pavel A.; Weiß, Gregor N. F. 3 2016 Billiards in ideal hyperbolic polygons. Zbl 1223.37038Castle, Simon; Peyerimhoff, Norbert; Siburg, Karl Friedrich 3 2011 Symmetry of functions and exchangeability of random variables. Zbl 1247.60021Siburg, Karl Friedrich; Stoimenov, Pavel A. 3 2011 The dynamics of magnetic flows for energies above Mañé’s critical value. Zbl 1051.37034Peyerimhoff, N.; Siburg, K. F. 3 2003 A dynamical systems approach to Birkhoff’s theorem. Zbl 0968.37014Siburg, Karl Friedrich 2 1998 Aubry-Mather theory and the inverse spectral problem for planar convex domains. Zbl 0996.37051Siburg, Karl Friedrich 2 1999 On the asymptotic geometry of area-preserving maps. Zbl 0976.37030Polterovich, Leonid; Siburg, Karl Friedrich 2 2000 Positive topological entropy for multi-bump magnetic fields. Zbl 1291.37114Knauf, Andreas; Schulz, Frank; Siburg, Karl Friedrich 2 2013 Almost opposite regression dependence in bivariate distributions. Zbl 1416.62318Siburg, Karl Friedrich; Stoimenov, Pavel A. 2 2015 A Markov product for tail dependence functions. Zbl 1473.62168Siburg, Karl Friedrich; Strothmann, Christopher 1 2021 Rigidity of integrable twist maps and a theorem of Moser. Zbl 0923.58038Siburg, Karl Friedrich 1 1998 Bi-invariant metrics for symplectic twist mappings on \(T^*\mathbb T^n\) and an application in Aubry-Mather theory. Zbl 1120.37311Siburg, Karl Friedrich 1 1998 A Markov product for tail dependence functions. Zbl 1473.62168Siburg, Karl Friedrich; Strothmann, Christopher 1 2021 An order of asymmetry in copulas, and implications for risk management. Zbl 1373.62231Siburg, Karl Friedrich; Stehling, Katharina; Stoimenov, Pavel A.; Weiß, Gregor N. F. 3 2016 Almost opposite regression dependence in bivariate distributions. Zbl 1416.62318Siburg, Karl Friedrich; Stoimenov, Pavel A. 2 2015 A copula-based non-parametric measure of regression dependence. Zbl 1259.62050Dette, Holger; Siburg, Karl F.; Stoimenov, Pavel A. 14 2013 Positive topological entropy for multi-bump magnetic fields. Zbl 1291.37114Knauf, Andreas; Schulz, Frank; Siburg, Karl Friedrich 2 2013 Billiards in ideal hyperbolic polygons. Zbl 1223.37038Castle, Simon; Peyerimhoff, Norbert; Siburg, Karl Friedrich 3 2011 Symmetry of functions and exchangeability of random variables. Zbl 1247.60021Siburg, Karl Friedrich; Stoimenov, Pavel A. 3 2011 A measure of mutual complete dependence. Zbl 1182.62124Siburg, Karl Friedrich; Stoimenov, Pavel A. 22 2010 Gluing copulas. Zbl 1292.60025Siburg, Karl Friedrich; Stoimenov, Pavel A. 32 2008 A scalar product for copulas. Zbl 1151.46023Siburg, Karl Friedrich; Stoimenov, Pavel A. 14 2008 The principle of least action in geometry and dynamics. Zbl 1060.37048Siburg, Karl Friedrich 19 2004 Boundary rigidity for Lagrangian submanifolds, non-removable intersections, and Aubry-Mather theory. Zbl 1048.53058Paternain, Gabriel P.; Polterovich, Leonid; Siburg, Karl Friedrich 22 2003 The dynamics of magnetic flows for energies above Mañé’s critical value. Zbl 1051.37034Peyerimhoff, N.; Siburg, K. F. 3 2003 Symplectic invariants of elliptic fixed points. Zbl 0985.37054Siburg, Karl Friedrich 4 2000 On the asymptotic geometry of area-preserving maps. Zbl 0976.37030Polterovich, Leonid; Siburg, Karl Friedrich 2 2000 Aubry-Mather theory and the inverse spectral problem for planar convex domains. Zbl 0996.37051Siburg, Karl Friedrich 2 1999 Action-minimizing measures and the geometry of the Hamiltonian diffeomorphism group. Zbl 1054.37506Siburg, Karl Friedrich 6 1998 A dynamical systems approach to Birkhoff’s theorem. Zbl 0968.37014Siburg, Karl Friedrich 2 1998 Rigidity of integrable twist maps and a theorem of Moser. Zbl 0923.58038Siburg, Karl Friedrich 1 1998 Bi-invariant metrics for symplectic twist mappings on \(T^*\mathbb T^n\) and an application in Aubry-Mather theory. Zbl 1120.37311Siburg, Karl Friedrich 1 1998 New minimal geodesics in the group of symplectic diffeomorphisms. Zbl 0828.58028Siburg, Karl Friedrich 10 1995 Symplectic capacities in two dimensions. Zbl 0791.58043Siburg, Karl Friedrich 10 1993 all cited Publications top 5 cited Publications all top 5 Cited by 194 Authors 11 Durante, Fabrizio 10 Siburg, Karl Friedrich 8 Mesiar, Radko 8 Sorrentino, Alfonso 7 Tasena, Santi 6 Kaloshin, Vadim Yu. 6 Kolesárová, Anna 5 Jaworski, Piotr 5 Stoimenov, Pavel A. 4 De Baets, Bernard 4 De Meyer, Hans E. 4 Paternain, Gabriel Pedro 4 Sumetkijakan, Songkiat 4 Trutschnig, Wolfgang 3 Arnaud, Marie-Claude 3 Klement, Erich Peter 3 Lalonde, François 3 McDuff, Dusa 3 Saminger-Platz, Susanne 3 Santiwipanont, Tippawan 3 Sempi, Carlo 3 Úbeda-Flores, Manuel 2 Bagré, Remi Guillaume 2 Bere, Frederic 2 Cieliebak, Kai 2 Dhompongsa, Sompong 2 Fernández-Sánchez, Juan 2 Frauenfelder, Urs Adrian 2 Galante, Joseph R. 2 González-Barrios, José María 2 Griessenberger, Florian 2 Huang, Guan 2 Junker, Robert R. 2 Kalická, Jana 2 Kerman, Ely 2 Kim, Daeyoung 2 Loyara, Vini Yves Bernadin 2 Lu, Dawei 2 Macarini, Leonardo 2 Milinković, Darko 2 Ostrover, Yaron 2 Polterovich, Leonid Viktorovich 2 Rosen, Daniel 2 Sarkoci, Peter 2 Schlenk, Felix 2 Shan, Qingsong 2 Strothmann, Christopher 2 Wang, Xiaoguang 2 Wei, Zheng 2 Weiß, Gregor N. F. 2 Wolansky, Gershon 2 Zhang, Lingyue 1 Abbondandolo, Alberto 1 Abdesselam, Abdelmalek 1 Amorim, Lino 1 Artstein-Avidan, Shiri 1 Azadkia, Mona 1 Barro, Diakarya 1 Beliakov, Gleb 1 BenSaïda, Ahmed 1 Bernard, Patrick 1 Bernardi, Olga 1 Bialy, Misha 1 Bisgaard, Mads R. 1 Boonmee, Therdsak 1 Borgonovo, Emanuele 1 Boubaker, Sabri 1 Bücher, Axel 1 Buhovsky, Lev 1 Burns, Keith 1 Bustince, Humberto 1 Butler, Leo T. 1 Cardin, Franco 1 Chaidee, Nattakarn 1 Chanthorn, Pharunyou 1 Compaoré, Abdoulaye 1 Cui, Xiaojun 1 Dette, Holger 1 Di Bernardino, Elena 1 Di Lascio, F. Marta L. 1 Dias Carneiro, Mario Jorge 1 Emura, Takeshi 1 Epstein, Jonathan A. 1 Erdely, Arturo 1 Fathi, Albert 1 Fernández Fernández, Francisco Javier 1 Florentin, Dan Itzhak 1 Fraser, Maia 1 Fuchs, Sebastian L. 1 Giakoumakis, Stylianos 1 Gluskin, Efim D. 1 Gornet, Ruth 1 Guiotto, Paolo 1 Hernández-Cedillo, Maria Magdalena 1 Horanská, Ľubomíra 1 Ignazzi, Claudio 1 Irresberger, Felix 1 Ismail, A. Haj 1 Iturriaga, Renato 1 Jágr, Vladimír ...and 94 more Authors all top 5 Cited in 90 Serials 9 Journal of Mathematical Analysis and Applications 8 Communications in Statistics. Theory and Methods 6 International Journal of Approximate Reasoning 4 Information Sciences 4 Calculus of Variations and Partial Differential Equations 4 Geometry & Topology 3 Israel Journal of Mathematics 3 Duke Mathematical Journal 3 Fuzzy Sets and Systems 3 Inventiones Mathematicae 3 Kybernetika 3 Ergodic Theory and Dynamical Systems 3 Communications in Contemporary Mathematics 3 Dependence Modeling 2 Nonlinearity 2 Journal of Multivariate Analysis 2 Manuscripta Mathematica 2 Insurance Mathematics & Economics 2 Statistics & Probability Letters 2 Differential Geometry and its Applications 2 Geometric and Functional Analysis. GAFA 2 Statistical Papers 2 NoDEA. Nonlinear Differential Equations and Applications 2 Regular and Chaotic Dynamics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Topology and Analysis 1 Communications in Mathematical Physics 1 Journal d’Analyse Mathématique 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Metrika 1 Physica A 1 Scandinavian Journal of Statistics 1 Journal of Geometry and Physics 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 The Annals of Statistics 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Publications Mathématiques 1 Journal of Differential Equations 1 Journal of Statistical Planning and Inference 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Annals of Global Analysis and Geometry 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Statistics 1 Statistical Science 1 Journal of the American Mathematical Society 1 International Journal of Mathematics 1 L’Enseignement Mathématique. 2e Série 1 European Journal of Operational Research 1 Journal of Statistical Computation and Simulation 1 Bulletin of the American Mathematical Society. New Series 1 Computational Statistics and Data Analysis 1 Celestial Mechanics and Dynamical Astronomy 1 Journal of Dynamics and Differential Equations 1 Experimental Mathematics 1 Topological Methods in Nonlinear Analysis 1 Bernoulli 1 Discrete and Continuous Dynamical Systems 1 Journal of Nonparametric Statistics 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Conformal Geometry and Dynamics 1 Annals of Mathematics. Second Series 1 Acta Mathematica Sinica. English Series 1 Applied Stochastic Models in Business and Industry 1 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 1 Quantitative Finance 1 Entropy 1 Bulletin of the Brazilian Mathematical Society. New Series 1 North American Actuarial Journal 1 Hacettepe Journal of Mathematics and Statistics 1 Theoretical and Applied Mechanics 1 Thai Journal of Mathematics 1 Statistical Methods and Applications 1 Journal of Modern Dynamics 1 European Journal of Pure and Applied Mathematics 1 Electronic Journal of Statistics 1 Advances in Differential Equations and Control Processes 1 São Paulo Journal of Mathematical Sciences 1 Journal of Geometric Mechanics 1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 1 Annales Mathématiques du Québec 1 Electronic Journal of Mathematical Analysis and Applications EJMAA 1 Journal of Mathematics 1 Journal of Function Spaces 1 European Journal of Mathematics 1 AIMS Mathematics all top 5 Cited in 32 Fields 65 Statistics (62-XX) 55 Dynamical systems and ergodic theory (37-XX) 43 Differential geometry (53-XX) 27 Probability theory and stochastic processes (60-XX) 10 Global analysis, analysis on manifolds (58-XX) 8 Mechanics of particles and systems (70-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Functional analysis (46-XX) 5 Manifolds and cell complexes (57-XX) 5 Numerical analysis (65-XX) 4 Measure and integration (28-XX) 4 Partial differential equations (35-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Convex and discrete geometry (52-XX) 2 Number theory (11-XX) 2 Real functions (26-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Ordinary differential equations (34-XX) 2 Optics, electromagnetic theory (78-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Algebraic geometry (14-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year