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## Hasselblatt, Boris

Compute Distance To:
 Author ID: hasselblatt.boris Published as: Hasselblatt, B.; Hasselblatt, Boris External Links: MGP · Wikidata · GND
 Documents Indexed: 51 Publications since 1989, including 13 Books
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#### Co-Authors

 17 single-authored 7 Katok, Anatole B. 6 Foulon, Patrick 4 Pesin, Yakov Borisovich 3 Propp, James Gary 3 Schmeling, Jorg 2 Brin, Michael 2 Broer, Henk W. 2 Fang, Yong 2 Takens, Floris 2 Wilkinson, Amie 1 Burns, Keith 1 Clay, Erica 1 Coudene, Yves 1 Fisher, Todd L. 1 Gerber, Marlies 1 Guysinsky, Misha 1 Keesing, Daniel 1 Kohel, David R. 1 Nitecki, Zbigniew H. 1 Plante, Donald jun. 1 Pujals, Enrique J. 1 Rayskin, Victoria 1 Shparlinski, Igor E. 1 Troubetzkoy, Serge Eugene
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#### Serials

 7 Ergodic Theory and Dynamical Systems 4 Discrete and Continuous Dynamical Systems 2 Experimental Mathematics 2 Electronic Research Announcements of the American Mathematical Society 2 Encyclopedia of Mathematics and Its Applications 2 Mathematical Sciences Research Institute Publications 2 Journal of Modern Dynamics 2 Electronic Research Announcements in Mathematical Sciences 1 American Mathematical Monthly 1 Israel Journal of Mathematics 1 Journal of Differential Geometry 1 Proceedings of the American Mathematical Society 1 International Journal of Mathematics 1 Notices of the American Mathematical Society 1 Mathematical Research Letters 1 Geometry & Topology 1 Stochastics and Dynamics 1 Lecture Notes in Mathematics 1 SMF Journée Annuelle 1 Zurich Lectures in Advanced Mathematics
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#### Fields

 48 Dynamical systems and ergodic theory (37-XX) 12 Differential geometry (53-XX) 8 General and overarching topics; collections (00-XX) 5 Manifolds and cell complexes (57-XX) 3 History and biography (01-XX) 3 Measure and integration (28-XX) 2 Ordinary differential equations (34-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Partial differential equations (35-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

41 Publications have been cited 1,514 times in 1,418 Documents Cited by Year
Introduction to the modern theory of dynamical systems. Zbl 0878.58020
Katok, Anatole; Hasselblatt, Boris
1995
Introduction to the modern theory of dynamical systems. With a supplement by Anatole Katok and Leonardo Mendoza. Zbl 0878.58019
Katok, Anatole; Hasselblatt, Boris
1997
A first course in dynamics with a panorama of recent developments. Zbl 1027.37001
Hasselblatt, Boris; Katok, Anatole
2003
Partially hyperbolic dynamical systems. Zbl 1130.37355
Hasselblatt, Boris; Pesin, Yakov
2006
Handbook of dynamical systems. Volume 1A. Zbl 1013.00016
Hasselblatt, B. (ed.); Katok, A. (ed.)
2002
Regularity of the Anosov splitting and of horospheric foliations. Zbl 0821.58032
Hasselblatt, Boris
1994
Hyperbolic dynamical systems. Zbl 1047.37018
Hasselblatt, Boris
2002
Contact Anosov flows on hyperbolic 3-manifolds. Zbl 1277.37057
Foulon, Patrick; Hasselblatt, Boris
2013
Degree-growth of monomial maps. Zbl 1143.37032
Hasselblatt, Boris; Propp, James
2007
Differentiability of the Hartman-Grobman linearization. Zbl 1024.37022
Guysinsky, Misha; Hasselblatt, Boris; Rayskin, Victoria
2003
Principal structures. Zbl 1047.37001
Hasselblatt, Boris; Katok, Anatole
2002
Prevalence of non-Lipschitz Anosov foliations. Zbl 1069.37031
Hasselblatt, Boris; Wilkinson, Amie
1999
Regularity of the Anosov splitting. II. Zbl 0872.58045
Hasselblatt, Boris
1997
Horospheric foliations and relative pinching. Zbl 0795.53026
Hasselblatt, Boris
1994
A new construction of the Margulis measure for Anosov flows. Zbl 0664.58026
Hasselblatt, Boris
1989
The Riccati equation: pinching of forcing and solutions. Zbl 1059.34004
Gerber, Marlies; Hasselblatt, Boris; Keesing, Daniel
2003
Topological entropy for nonuniformly continuous maps. Zbl 1153.37319
Hasselblatt, Boris; Nitecki, Zbigniew; Propp, James
2008
Handbook of dynamical systems. Volume 1B. Zbl 1081.00006
Hasselblatt, B. (ed.); Katok, A. (ed.)
2006
Hyperbolic flows. Zbl 1430.37002
Fisher, Todd; Hasselblatt, Boris
2019
The Sharkovsky theorem: a natural direct proof. Zbl 1218.37045
Burns, Keith; Hasselblatt, Boris
2011
Dimension product structure of hyperbolic sets. Zbl 1147.37310
Hasselblatt, Boris; Schmeling, Jörg
2004
Periodic bunching and invariant foliations. Zbl 0845.58043
Hasselblatt, Boris
1994
Introduction to hyperbolic dynamics and ergodic theory. Zbl 1394.37001
Hasselblatt, Boris
2017
Godbillon-Vey invariants for maximal isotropic $$C^2$$ foliations. Zbl 1386.53096
Foulon, Patrick; Hasselblatt, Boris
2017
Pointwise hyperbolicity implies uniform hyperbolicity. Zbl 1358.37062
Hasselblatt, Boris; Pesin, Yakov; Schmeling, Jörg
2014
Zygmund strong foliations in higher dimension. Zbl 1246.37048
Fang, Yong; Foulon, Patrick; Hasselblatt, Boris
2010
Handbook of dynamical systems. Volume 3. Zbl 1216.37002
Broer, Henk (ed.); Hasselblatt, Boris (ed.); Takens, Floris (ed.)
2010
Problems in dynamical systems and related topics. Zbl 1153.37300
Hasselblatt, Boris
2007
Dimension product structure of hyperbolic sets. Zbl 1068.37016
Hasselblatt, Boris; Schmeling, Jorg
2004
The development of dynamics in the 20th century and the contribution of Jürgen Moser. Zbl 1018.37001
Hasselblatt, Boris; Katok, Anatole
2002
Prevalence of non-Lipschitz Anosov foliations. Zbl 0887.58043
Hasselblatt, Boris; Wilkinson, Amie
1997
Bootstrapping regularity of the Anosov splitting. Zbl 0790.58029
Hasselblatt, Boris
1992
Ergodic theory and negative curvature. CIRM Jean-Morlet Chair, Fall 2013. Zbl 1395.37001
Hasselblatt, Boris (ed.)
2017
Handbook of dynamical systems. Volume 3. Reprint of the 2010 hardback edition. Zbl 1349.37002
Broer, Henk (ed.); Hasselblatt, Boris (ed.); Takens, Floris (ed.)
2016
Multiple mixing from weak hyperbolicity by the Hopf argument. Zbl 1354.37005
Coudène, Yves; Hasselblatt, Boris; Troubetzkoy, Serge
2016
On the interior of “fat” Sierpiński triangles. Zbl 1310.28006
Hasselblatt, Boris; Plante, Donald jun.
2014
Lipschitz continuous invariant forms for algebraic Anosov systems. Zbl 1211.37002
Foulon, Patrick; Hasselblatt, Boris
2010
Corrigendum to ‘Degree-growth of monomial maps’. Zbl 1147.37337
Hasselblatt, Boris; Propp, James
2007
Modern dynamical systems and applications. Dedicated to Anatole Katok on his 60th birthday. Zbl 1051.00012
Brin, Michael (ed.); Hasselblatt, Boris (ed.); Pesin, Yakov (ed.)
2004
Zygmund strong foliations. Zbl 1330.37030
Foulon, Patrick; Hasselblatt, Boris
2003
Anosov obstructions in higher dimension. Zbl 0787.58015
Hasselblatt, Boris
1993
Hyperbolic flows. Zbl 1430.37002
Fisher, Todd; Hasselblatt, Boris
2019
Introduction to hyperbolic dynamics and ergodic theory. Zbl 1394.37001
Hasselblatt, Boris
2017
Godbillon-Vey invariants for maximal isotropic $$C^2$$ foliations. Zbl 1386.53096
Foulon, Patrick; Hasselblatt, Boris
2017
Ergodic theory and negative curvature. CIRM Jean-Morlet Chair, Fall 2013. Zbl 1395.37001
Hasselblatt, Boris (ed.)
2017
Handbook of dynamical systems. Volume 3. Reprint of the 2010 hardback edition. Zbl 1349.37002
Broer, Henk (ed.); Hasselblatt, Boris (ed.); Takens, Floris (ed.)
2016
Multiple mixing from weak hyperbolicity by the Hopf argument. Zbl 1354.37005
Coudène, Yves; Hasselblatt, Boris; Troubetzkoy, Serge
2016
Pointwise hyperbolicity implies uniform hyperbolicity. Zbl 1358.37062
Hasselblatt, Boris; Pesin, Yakov; Schmeling, Jörg
2014
On the interior of “fat” Sierpiński triangles. Zbl 1310.28006
Hasselblatt, Boris; Plante, Donald jun.
2014
Contact Anosov flows on hyperbolic 3-manifolds. Zbl 1277.37057
Foulon, Patrick; Hasselblatt, Boris
2013
The Sharkovsky theorem: a natural direct proof. Zbl 1218.37045
Burns, Keith; Hasselblatt, Boris
2011
Zygmund strong foliations in higher dimension. Zbl 1246.37048
Fang, Yong; Foulon, Patrick; Hasselblatt, Boris
2010
Handbook of dynamical systems. Volume 3. Zbl 1216.37002
Broer, Henk (ed.); Hasselblatt, Boris (ed.); Takens, Floris (ed.)
2010
Lipschitz continuous invariant forms for algebraic Anosov systems. Zbl 1211.37002
Foulon, Patrick; Hasselblatt, Boris
2010
Topological entropy for nonuniformly continuous maps. Zbl 1153.37319
Hasselblatt, Boris; Nitecki, Zbigniew; Propp, James
2008
Degree-growth of monomial maps. Zbl 1143.37032
Hasselblatt, Boris; Propp, James
2007
Problems in dynamical systems and related topics. Zbl 1153.37300
Hasselblatt, Boris
2007
Corrigendum to ‘Degree-growth of monomial maps’. Zbl 1147.37337
Hasselblatt, Boris; Propp, James
2007
Partially hyperbolic dynamical systems. Zbl 1130.37355
Hasselblatt, Boris; Pesin, Yakov
2006
Handbook of dynamical systems. Volume 1B. Zbl 1081.00006
Hasselblatt, B. (ed.); Katok, A. (ed.)
2006
Dimension product structure of hyperbolic sets. Zbl 1147.37310
Hasselblatt, Boris; Schmeling, Jörg
2004
Dimension product structure of hyperbolic sets. Zbl 1068.37016
Hasselblatt, Boris; Schmeling, Jorg
2004
Modern dynamical systems and applications. Dedicated to Anatole Katok on his 60th birthday. Zbl 1051.00012
Brin, Michael (ed.); Hasselblatt, Boris (ed.); Pesin, Yakov (ed.)
2004
A first course in dynamics with a panorama of recent developments. Zbl 1027.37001
Hasselblatt, Boris; Katok, Anatole
2003
Differentiability of the Hartman-Grobman linearization. Zbl 1024.37022
Guysinsky, Misha; Hasselblatt, Boris; Rayskin, Victoria
2003
The Riccati equation: pinching of forcing and solutions. Zbl 1059.34004
Gerber, Marlies; Hasselblatt, Boris; Keesing, Daniel
2003
Zygmund strong foliations. Zbl 1330.37030
Foulon, Patrick; Hasselblatt, Boris
2003
Handbook of dynamical systems. Volume 1A. Zbl 1013.00016
Hasselblatt, B. (ed.); Katok, A. (ed.)
2002
Hyperbolic dynamical systems. Zbl 1047.37018
Hasselblatt, Boris
2002
Principal structures. Zbl 1047.37001
Hasselblatt, Boris; Katok, Anatole
2002
The development of dynamics in the 20th century and the contribution of Jürgen Moser. Zbl 1018.37001
Hasselblatt, Boris; Katok, Anatole
2002
Prevalence of non-Lipschitz Anosov foliations. Zbl 1069.37031
Hasselblatt, Boris; Wilkinson, Amie
1999
Introduction to the modern theory of dynamical systems. With a supplement by Anatole Katok and Leonardo Mendoza. Zbl 0878.58019
Katok, Anatole; Hasselblatt, Boris
1997
Regularity of the Anosov splitting. II. Zbl 0872.58045
Hasselblatt, Boris
1997
Prevalence of non-Lipschitz Anosov foliations. Zbl 0887.58043
Hasselblatt, Boris; Wilkinson, Amie
1997
Introduction to the modern theory of dynamical systems. Zbl 0878.58020
Katok, Anatole; Hasselblatt, Boris
1995
Regularity of the Anosov splitting and of horospheric foliations. Zbl 0821.58032
Hasselblatt, Boris
1994
Horospheric foliations and relative pinching. Zbl 0795.53026
Hasselblatt, Boris
1994
Periodic bunching and invariant foliations. Zbl 0845.58043
Hasselblatt, Boris
1994
Anosov obstructions in higher dimension. Zbl 0787.58015
Hasselblatt, Boris
1993
Bootstrapping regularity of the Anosov splitting. Zbl 0790.58029
Hasselblatt, Boris
1992
A new construction of the Margulis measure for Anosov flows. Zbl 0664.58026
Hasselblatt, Boris
1989
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#### Cited by 1,704 Authors

 19 Morales, Carlos Arnoldo 17 Kuznetsov, Sergey P. 15 Gelfert, Katrin Grit 14 Barreira, Luis Manuel 14 Mesón, Alejandro M. 14 Vericat, Fernando 13 de la Llave, Rafael 13 Oertel-Jäger, Tobias Hendrik 12 Mihailescu, Eugen Gh. 11 Kalinin, Boris 11 Pesin, Yakov Borisovich 10 Kawan, Christoph 10 Sadovskaya, Victoria 10 Tien Cuong Dinh 9 Hasselblatt, Boris 9 Llibre, Jaume 9 Paternain, Gabriel Pedro 9 Potrie, Rafael 9 Sibony, Nessim 9 Valls Anglés, Cláudia 8 Bonatti, Christian 8 Giona, Massimiliano 8 Katok, Anatole B. 8 Stoyanov, Luchezar N. 7 Araújo, Vítor 7 Arbieto, Alexander 7 Backes, Lucas H. 7 Gogolev, Andrey 7 Kolesov, Andreĭ Yur’evich 7 Qin, Wenxin 7 Rozov, Nikolaĭ Khristovich 7 Sun, Wenxiang 7 Thompson, Daniel J. 7 Varandas, Paulo 7 Wolf, Christian 6 Andres, Jan 6 Bunimovich, Leonid Abramovich 6 Cao, Yongluo 6 Climenhaga, Vaughn 6 Colonius, Fritz 6 de Thélin, Henry 6 Diller, Jeffrey 6 Efremova, Lyudmila S. 6 Glyzin, Sergeĭ D. 6 Gorodetski, Anton 6 Grines, Vyacheslav Zigmundovich 6 Guillarmou, Colin 6 Gutkin, Eugene 6 Lin, Jan-Li 6 Liverani, Carlangelo 6 Neunhäuserer, Jörg 6 Ramírez-Ros, Rafael 6 Spatzier, Ralf J. 6 Wilkinson, Amie 6 Zhang, Meirong 6 Zhu, Yujun 5 Asaoka, Masayuki 5 Bessa, Mário 5 Blackmore, Denis L. 5 Butterley, Oliver 5 Crovisier, Sylvain 5 Damanik, David 5 Dupont, Christophe 5 Fang, Yong 5 Fisher, Todd L. 5 Kruglov, Vyacheslav Pavlovich 5 Kryzhevich, Sergeĭ Gennad’evich 5 Liao, Gang 5 Niţică, Viorel 5 Petkov, Vesselin M. 5 Pochinka, Olga Vital’evna 5 Pollicott, Mark 5 Rodriguez-Hertz, Federico 5 Tikhomirov, Sergey B. 5 Troubetzkoy, Serge Eugene 5 Vásquez, Carlos H. 5 Vetokhin, A. N. 5 Zhang, Weinian 5 Zworski, Maciej 4 Addas-Zanata, Salvador 4 Adrover, Alessandra 4 Alves, Marcelo R. R. 4 Anosov, Dmitriĭ Viktorovich 4 Berger, Arno 4 Bochi, Jairo 4 Bolotin, Sergeĭ Vladimirovich 4 Bruin, Henk 4 Buzzi, Jérôme 4 Cantat, Serge 4 Cerbelli, Stefano 4 Cheng, Wenchiao 4 Collins, Peter J. 4 Díaz, Lorenzo Justiniano 4 Dolgopyat, Dmitry 4 Dyatlov, Semyon 4 Faure, Frédéric 4 Forni, Giovanni 4 Froeschlé, Claude 4 Galatolo, Stefano 4 Gedeon, Tomáš ...and 1,604 more Authors
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#### Cited in 290 Serials

 86 Ergodic Theory and Dynamical Systems 52 Journal of Differential Equations 50 Discrete and Continuous Dynamical Systems 46 Proceedings of the American Mathematical Society 45 Physica D 40 Communications in Mathematical Physics 39 Transactions of the American Mathematical Society 35 Journal of Statistical Physics 29 Israel Journal of Mathematics 22 Chaos, Solitons and Fractals 22 Annales de l’Institut Fourier 21 Duke Mathematical Journal 20 Journal of Mathematical Analysis and Applications 20 Topology and its Applications 20 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 18 Nonlinearity 18 Advances in Mathematics 18 Inventiones Mathematicae 18 Journal of Dynamics and Differential Equations 17 Regular and Chaotic Dynamics 16 Mathematische Annalen 16 Journal of Modern Dynamics 15 Annals of Mathematics. Second Series 14 Dynamical Systems 13 Mathematische Zeitschrift 13 Proceedings of the Steklov Institute of Mathematics 12 Geometry & Topology 12 Chaos 12 Journal of the European Mathematical Society (JEMS) 12 Qualitative Theory of Dynamical Systems 12 Bulletin of the Brazilian Mathematical Society. New Series 11 Physics Letters. A 11 Geometriae Dedicata 11 Journal of Mathematical Sciences (New York) 11 Annales Henri Poincaré 10 Mathematical Notes 10 Geometric and Functional Analysis. GAFA 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Journal of the American Mathematical Society 9 Electronic Research Announcements of the American Mathematical Society 9 Journal of Dynamical and Control Systems 8 Bulletin of the American Mathematical Society. New Series 8 Stochastics and Dynamics 7 Journal of Mathematical Biology 7 Monatshefte für Mathematik 7 Journal of Nonlinear Science 7 Journal of Difference Equations and Applications 7 Communications in Nonlinear Science and Numerical Simulation 7 Differential Equations 7 Discrete and Continuous Dynamical Systems. Series B 6 Journal of Computational Physics 6 Journal of Geometry and Physics 6 Functional Analysis and its Applications 6 Journal of Functional Analysis 6 Michigan Mathematical Journal 6 Systems & Control Letters 6 The Journal of Geometric Analysis 6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Automatica 5 Journal of Computational and Applied Mathematics 5 Linear Algebra and its Applications 5 Russian Mathematics 5 Acta Mathematica Sinica. English Series 5 Journal of Dynamical Systems and Geometric Theories 5 SIAM Journal on Applied Dynamical Systems 5 Journal de l’École Polytechnique – Mathématiques 5 Nelineĭnaya Dinamika 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Acta Mathematica 4 Applied Mathematics and Computation 4 Commentarii Mathematici Helvetici 4 Theoretical Computer Science 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Differential Geometry and its Applications 4 St. Petersburg Mathematical Journal 4 Mathematical Physics, Analysis and Geometry 4 Entropy 4 Science China. Mathematics 3 Computers & Mathematics with Applications 3 Journal d’Analyse Mathématique 3 Moscow University Mathematics Bulletin 3 Physica A 3 Physics Reports 3 Bulletin of Mathematical Biology 3 Journal of Optimization Theory and Applications 3 Memoirs of the American Mathematical Society 3 MCSS. Mathematics of Control, Signals, and Systems 3 Annals of Physics 3 Automation and Remote Control 3 Stochastic Processes and their Applications 3 Experimental Mathematics 3 Conformal Geometry and Dynamics 3 Journal of the Institute of Mathematics of Jussieu 3 Mathematical Modelling of Natural Phenomena 3 Discrete and Continuous Dynamical Systems. Series S 3 Arnold Mathematical Journal 2 Archive for Rational Mechanics and Analysis 2 International Journal of Theoretical Physics ...and 190 more Serials
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#### Cited in 59 Fields

 1,141 Dynamical systems and ergodic theory (37-XX) 139 Ordinary differential equations (34-XX) 139 Differential geometry (53-XX) 72 Measure and integration (28-XX) 63 Several complex variables and analytic spaces (32-XX) 62 General topology (54-XX) 62 Manifolds and cell complexes (57-XX) 60 Mechanics of particles and systems (70-XX) 55 Partial differential equations (35-XX) 49 Statistical mechanics, structure of matter (82-XX) 48 Probability theory and stochastic processes (60-XX) 47 Systems theory; control (93-XX) 40 Operator theory (47-XX) 38 Quantum theory (81-XX) 37 Global analysis, analysis on manifolds (58-XX) 34 Biology and other natural sciences (92-XX) 33 Number theory (11-XX) 32 Numerical analysis (65-XX) 29 Information and communication theory, circuits (94-XX) 26 Computer science (68-XX) 25 Group theory and generalizations (20-XX) 25 Topological groups, Lie groups (22-XX) 24 Functions of a complex variable (30-XX) 21 Difference and functional equations (39-XX) 20 Fluid mechanics (76-XX) 19 Functional analysis (46-XX) 17 Algebraic geometry (14-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 13 Combinatorics (05-XX) 13 Real functions (26-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Algebraic topology (55-XX) 9 Statistics (62-XX) 8 Mathematical logic and foundations (03-XX) 8 Abstract harmonic analysis (43-XX) 8 Operations research, mathematical programming (90-XX) 7 Geophysics (86-XX) 6 Special functions (33-XX) 5 Convex and discrete geometry (52-XX) 5 Mechanics of deformable solids (74-XX) 5 Optics, electromagnetic theory (78-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Commutative algebra (13-XX) 3 Geometry (51-XX) 2 Field theory and polynomials (12-XX) 2 Category theory; homological algebra (18-XX) 2 $$K$$-theory (19-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Associative rings and algebras (16-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX)

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