## Siburg, Karl Friedrich

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 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
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### 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.
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### 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
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### 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)

### Citations contained in zbMATH Open

22 Publications have been cited 178 times in 148 Documents Cited by Year
Gluing copulas. Zbl 1292.60025
Siburg, Karl Friedrich; Stoimenov, Pavel A.
2008
A measure of mutual complete dependence. Zbl 1182.62124
Siburg, Karl Friedrich; Stoimenov, Pavel A.
2010
Boundary rigidity for Lagrangian submanifolds, non-removable intersections, and Aubry-Mather theory. Zbl 1048.53058
Paternain, Gabriel P.; Polterovich, Leonid; Siburg, Karl Friedrich
2003
The principle of least action in geometry and dynamics. Zbl 1060.37048
Siburg, Karl Friedrich
2004
A scalar product for copulas. Zbl 1151.46023
Siburg, Karl Friedrich; Stoimenov, Pavel A.
2008
A copula-based non-parametric measure of regression dependence. Zbl 1259.62050
Dette, Holger; Siburg, Karl F.; Stoimenov, Pavel A.
2013
New minimal geodesics in the group of symplectic diffeomorphisms. Zbl 0828.58028
Siburg, Karl Friedrich
1995
Symplectic capacities in two dimensions. Zbl 0791.58043
Siburg, Karl Friedrich
1993
Action-minimizing measures and the geometry of the Hamiltonian diffeomorphism group. Zbl 1054.37506
Siburg, Karl Friedrich
1998
Symplectic invariants of elliptic fixed points. Zbl 0985.37054
Siburg, Karl Friedrich
2000
An order of asymmetry in copulas, and implications for risk management. Zbl 1373.62231
Siburg, Karl Friedrich; Stehling, Katharina; Stoimenov, Pavel A.; Weiß, Gregor N. F.
2016
Billiards in ideal hyperbolic polygons. Zbl 1223.37038
Castle, Simon; Peyerimhoff, Norbert; Siburg, Karl Friedrich
2011
Symmetry of functions and exchangeability of random variables. Zbl 1247.60021
Siburg, Karl Friedrich; Stoimenov, Pavel A.
2011
The dynamics of magnetic flows for energies above Mañé’s critical value. Zbl 1051.37034
Peyerimhoff, N.; Siburg, K. F.
2003
A dynamical systems approach to Birkhoff’s theorem. Zbl 0968.37014
Siburg, Karl Friedrich
1998
Aubry-Mather theory and the inverse spectral problem for planar convex domains. Zbl 0996.37051
Siburg, Karl Friedrich
1999
On the asymptotic geometry of area-preserving maps. Zbl 0976.37030
Polterovich, Leonid; Siburg, Karl Friedrich
2000
Positive topological entropy for multi-bump magnetic fields. Zbl 1291.37114
Knauf, Andreas; Schulz, Frank; Siburg, Karl Friedrich
2013
Almost opposite regression dependence in bivariate distributions. Zbl 1416.62318
Siburg, Karl Friedrich; Stoimenov, Pavel A.
2015
A Markov product for tail dependence functions. Zbl 1473.62168
Siburg, Karl Friedrich; Strothmann, Christopher
2021
Rigidity of integrable twist maps and a theorem of Moser. Zbl 0923.58038
Siburg, Karl Friedrich
1998
Bi-invariant metrics for symplectic twist mappings on $$T^*\mathbb T^n$$ and an application in Aubry-Mather theory. Zbl 1120.37311
Siburg, Karl Friedrich
1998
A Markov product for tail dependence functions. Zbl 1473.62168
Siburg, Karl Friedrich; Strothmann, Christopher
2021
An order of asymmetry in copulas, and implications for risk management. Zbl 1373.62231
Siburg, Karl Friedrich; Stehling, Katharina; Stoimenov, Pavel A.; Weiß, Gregor N. F.
2016
Almost opposite regression dependence in bivariate distributions. Zbl 1416.62318
Siburg, Karl Friedrich; Stoimenov, Pavel A.
2015
A copula-based non-parametric measure of regression dependence. Zbl 1259.62050
Dette, Holger; Siburg, Karl F.; Stoimenov, Pavel A.
2013
Positive topological entropy for multi-bump magnetic fields. Zbl 1291.37114
Knauf, Andreas; Schulz, Frank; Siburg, Karl Friedrich
2013
Billiards in ideal hyperbolic polygons. Zbl 1223.37038
Castle, Simon; Peyerimhoff, Norbert; Siburg, Karl Friedrich
2011
Symmetry of functions and exchangeability of random variables. Zbl 1247.60021
Siburg, Karl Friedrich; Stoimenov, Pavel A.
2011
A measure of mutual complete dependence. Zbl 1182.62124
Siburg, Karl Friedrich; Stoimenov, Pavel A.
2010
Gluing copulas. Zbl 1292.60025
Siburg, Karl Friedrich; Stoimenov, Pavel A.
2008
A scalar product for copulas. Zbl 1151.46023
Siburg, Karl Friedrich; Stoimenov, Pavel A.
2008
The principle of least action in geometry and dynamics. Zbl 1060.37048
Siburg, Karl Friedrich
2004
Boundary rigidity for Lagrangian submanifolds, non-removable intersections, and Aubry-Mather theory. Zbl 1048.53058
Paternain, Gabriel P.; Polterovich, Leonid; Siburg, Karl Friedrich
2003
The dynamics of magnetic flows for energies above Mañé’s critical value. Zbl 1051.37034
Peyerimhoff, N.; Siburg, K. F.
2003
Symplectic invariants of elliptic fixed points. Zbl 0985.37054
Siburg, Karl Friedrich
2000
On the asymptotic geometry of area-preserving maps. Zbl 0976.37030
Polterovich, Leonid; Siburg, Karl Friedrich
2000
Aubry-Mather theory and the inverse spectral problem for planar convex domains. Zbl 0996.37051
Siburg, Karl Friedrich
1999
Action-minimizing measures and the geometry of the Hamiltonian diffeomorphism group. Zbl 1054.37506
Siburg, Karl Friedrich
1998
A dynamical systems approach to Birkhoff’s theorem. Zbl 0968.37014
Siburg, Karl Friedrich
1998
Rigidity of integrable twist maps and a theorem of Moser. Zbl 0923.58038
Siburg, Karl Friedrich
1998
Bi-invariant metrics for symplectic twist mappings on $$T^*\mathbb T^n$$ and an application in Aubry-Mather theory. Zbl 1120.37311
Siburg, Karl Friedrich
1998
New minimal geodesics in the group of symplectic diffeomorphisms. Zbl 0828.58028
Siburg, Karl Friedrich
1995
Symplectic capacities in two dimensions. Zbl 0791.58043
Siburg, Karl Friedrich
1993
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### 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
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### 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
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### 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)