# zbMATH — the first resource for mathematics

## Mather, John N.

Compute Distance To:
 Author ID: mather.john-n Published as: Mather, J.; Mather, J. N.; Mather, John; Mather, John N. External Links: MGP · Wikidata
 Documents Indexed: 80 Publications since 1965
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#### Co-Authors

 70 single-authored 2 Yau, Stephen Shing-Toung 1 Bott, Raoul Harry 1 Chaperon, Marc 1 Fathi, Albert 1 Fell, Harriet J. 1 Forni, Giovanni 1 Kaloshin, Vadim Yu. 1 Laudenbach, François 1 McGehee, Richard P. 1 McKean, Henry P. jun. 1 Nirenberg, Louis 1 Rabinowitz, Paul Henry 1 Valdinoci, Enrico
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#### Serials

 9 Commentarii Mathematici Helvetici 5 Uspekhi Matematicheskikh Nauk [N. S.] 5 Ergodic Theory and Dynamical Systems 3 Publications Mathématiques 3 Topology 3 Annals of Mathematics. Second Series 2 Communications in Mathematical Physics 2 Advances in Mathematics 2 Annales de l’Institut Fourier 2 Bulletin of the American Mathematical Society 1 American Mathematical Monthly 1 Communications on Pure and Applied Mathematics 1 Bulletin de la Société Mathématique de France 1 Gazette des Mathématiciens 1 Inventiones Mathematicae 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Journal of the American Mathematical Society 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the American Mathematical Society. New Series 1 Notices of the American Mathematical Society 1 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 Journal of Mathematical Sciences (New York) 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae
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#### Fields

 30 Dynamical systems and ergodic theory (37-XX) 29 Manifolds and cell complexes (57-XX) 29 Global analysis, analysis on manifolds (58-XX) 6 Mechanics of particles and systems (70-XX) 5 Algebraic geometry (14-XX) 5 Measure and integration (28-XX) 5 Algebraic topology (55-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Differential geometry (53-XX) 3 General topology (54-XX) 2 History and biography (01-XX) 2 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX)

#### Citations contained in zbMATH Open

69 Publications have been cited 1,954 times in 1,294 Documents Cited by Year
Action minimizing invariant measures for positive definite Lagrangian systems. Zbl 0696.58027
Mather, John N.
1991
Existence of quasi-periodic orbits for twist homeomorphisms of the annulus. Zbl 0506.58032
Mather, John N.
1982
Variational construction of connecting orbits. Zbl 0803.58019
Mather, John N.
1993
Stability of $$C^ \infty$$ mappings. III: Finitely determined map germs. Zbl 0159.25001
Mather, J. N.
1968
Stability of $$C^ \infty$$ mappings. V: Transversality. Zbl 0207.54303
Mather, J. N.
1970
Stability of $$C^\infty$$ mappings. II: Infinitesimal stability implies stability. Zbl 0177.26002
Mather, J. N.
1969
Stability of $$C^ \infty$$ mappings. IV: Classification of stable germs by R-algebras. Zbl 0202.55102
Mather, J. N.
1969
Stratifications and mappings. Zbl 0286.58003
Mather, John N.
1973
Stability of $$C^ \infty$$ mappings. I: The division theorem. Zbl 0159.24902
Mather, John N.
1968
Classification of isolated hypersurface singularities by their moduli algebras. Zbl 0499.32008
Mather, John N.; Yau, Stephen S.-T.
1982
Characterization of Anosov diffeomorphisms. Zbl 0165.57001
Mather, J. N.
1968
Notes on topological stability. Zbl 1260.57049
Mather, John
2012
A criterion for the non-existence of invariant circles. Zbl 0603.58028
Mather, John
1986
Generic projections. Zbl 0242.58001
Mather, John N.
1973
Commutators of diffeomorphisms. Zbl 0289.57014
Mather, John N.
1974
Action minimizing orbits in Hamiltonian systems. Zbl 0822.70011
Mather, John N.; Forni, Giovanni
1994
Non-existence of invariant circles. Zbl 0557.58019
Mather, John N.
1984
Glancing billiards. Zbl 0525.58021
Mather, John N.
1982
Variational construction of orbits of twist diffeomorphisms. Zbl 0737.58029
Mather, John N.
1991
Stability of $$C^ \infty$$-mappings. VI: The nice dimensions. Zbl 0211.56105
Mather, J. N.
1971
More Denjoy minimal sets for area preserving diffeomorphisms. Zbl 0597.58015
Mather, John N.
1985
Differentiable invariants. Zbl 0376.58002
Mather, John N.
1977
Differentiability of the minimal average action as a function of the rotation number. Zbl 0766.58033
Mather, John N.
1990
The vanishing of the homology of certain groups of homeomorphisms. Zbl 0207.21903
Mather, John N.
1971
Minimal measures. Zbl 0689.58025
Mather, John N.
1989
Integrability in codimension 1. Zbl 0284.57016
Mather, John N.
1973
Arnold diffusion. I: Announcement of results. Zbl 1069.37044
Mather, J. N.
2003
Destruction of invariant circles. Zbl 0688.58024
Mather, John N.
1988
Commutators of diffeomorphisms. II. Zbl 0299.58008
Mather, John N.
1975
How to stratify mappings and jet spaces. Zbl 0398.58008
Mather, John N.
1976
Solutions of the collinear four body problem which become unbounded in finite time. Zbl 0331.70005
Mather, J. N.; McGehee, R.
1975
On Thom-Boardman singularities. Zbl 0292.58004
Mather, John N.
1973
Examples of Aubry sets. Zbl 1090.37047
Mather, John N.
2004
Failure of convergence of the Lax-Oleinik semi-group in the time-periodic case. Zbl 0989.37035
Fathi, Albert; Mather, John N.
2000
Topological proofs of some purely topological consequences of Caratheodory’s theory of prime ends. Zbl 0506.57005
Mather, John N.
1982
Invariant subsets for area preserving homeomorphisms of surfaces. Zbl 0505.58027
Mather, John N.
1981
On Haefliger’s classifying space. I. Zbl 0224.55022
Mather, John N.
1971
Modulus of continuity for Peierls’s barrier. Zbl 0658.58013
Mather, John N.
1987
Commutators of diffeomorphisms. III: A group which is not perfect. Zbl 0575.58011
Mather, John N.
1985
Total disconnectedness of the quotient Aubry set in low dimensions. Zbl 1046.37039
Mather, John N.
2003
Arnold diffusion by variational methods. Zbl 1350.37067
Mather, John N.
2012
Amount of rotation about a point and the Morse index. Zbl 0558.58010
Mather, John N.
1984
Criterion for biholomorphic equivalence of isolated hypersurface singularities. Zbl 0477.32005
Mather, John N.; Yau, Stephen S.-T.
1981
On Nirenberg’s proof of Malgrange’s preparation theorem. Zbl 0211.56102
Mather, J. N.
1971
Invariance of the homology of a lattice. Zbl 0147.42102
Mather, J.
1966
Distance from a submanifold in euclidean space. Zbl 0519.58015
Mather, John N.
1983
On the homology of Haefliger’s classifying space. Zbl 0469.57021
Mather, John N.
1979
Simplicity of certain groups of diffeomorphisms. Zbl 0275.58007
Mather, John N.
1974
Instability of resonant totally elliptic points of symplectic maps in dimension 4. Zbl 1156.37313
Kaloshin, Vadim; Mather, John N.; Valdinoci, Enrico
2004
Minimal action measures for positive-definite Lagrangian systems. Zbl 0850.70195
Mather, John N.
1989
Non-uniqueness of solutions of Percival’s Euler-Lagrange equation. Zbl 0553.58011
Mather, John N.
1982
Solutions of generic linear equations. Zbl 0272.26008
Mather, John N.
1973
A curious remark concerning the geometric transfer map. Zbl 0535.58006
Mather, John N.
1984
Stable map-germs and algebraic geometry. Zbl 0217.04903
Mather, J. N.
1971
A property of compact, connected, laminated subsets of manifolds. Zbl 1079.37057
Mather, John N.
2002
Stratifications and mappings. Zbl 0253.58005
Mather, John N.
1972
Concavity of the Lagrangian for quasi-periodic orbits. Zbl 0508.58037
Mather, John N.
1982
Foliations and local homology of groups of diffeomorphisms. Zbl 0333.57015
Mather, John N.
1975
Structural stability of mappings. Zbl 0216.20801
Mather, J.
1968
Topics in topology and differential geometry. Zbl 0177.26001
Bott, Raoul; Mather, J.
1968
Order structure on action minimizing orbits. Zbl 1211.37076
Mather, John N.
2010
Dynamics of area preserving maps. Zbl 0674.58026
Mather, John N.
1987
Stability of $$C^\infty$$ mappings. V: Transversality. Zbl 0286.58006
Mather, John N.
1974
Stability of $$C^\infty$$ mappings. VI: The nice dimensions. Zbl 0286.58005
Mather, J. N.
1974
Characterization of stable mappings. Zbl 0167.51803
Mather, J. N.
1968
Area preserving twist homeomorphism of the annulus. Zbl 0414.57002
Mather, John N.
1979
Loops and foliations. Zbl 0309.57009
Mather, John N.
1975
Stability of $$C^ \infty$$ mappings. III: Finitely determined map germs. Zbl 0208.52001
Mather, J. N.
1970
Some non-finitely determined map-germs. Zbl 0187.20504
Mather, J. N.
1969
Notes on topological stability. Zbl 1260.57049
Mather, John
2012
Arnold diffusion by variational methods. Zbl 1350.37067
Mather, John N.
2012
Order structure on action minimizing orbits. Zbl 1211.37076
Mather, John N.
2010
Examples of Aubry sets. Zbl 1090.37047
Mather, John N.
2004
Instability of resonant totally elliptic points of symplectic maps in dimension 4. Zbl 1156.37313
Kaloshin, Vadim; Mather, John N.; Valdinoci, Enrico
2004
Arnold diffusion. I: Announcement of results. Zbl 1069.37044
Mather, J. N.
2003
Total disconnectedness of the quotient Aubry set in low dimensions. Zbl 1046.37039
Mather, John N.
2003
A property of compact, connected, laminated subsets of manifolds. Zbl 1079.37057
Mather, John N.
2002
Failure of convergence of the Lax-Oleinik semi-group in the time-periodic case. Zbl 0989.37035
Fathi, Albert; Mather, John N.
2000
Action minimizing orbits in Hamiltonian systems. Zbl 0822.70011
Mather, John N.; Forni, Giovanni
1994
Variational construction of connecting orbits. Zbl 0803.58019
Mather, John N.
1993
Action minimizing invariant measures for positive definite Lagrangian systems. Zbl 0696.58027
Mather, John N.
1991
Variational construction of orbits of twist diffeomorphisms. Zbl 0737.58029
Mather, John N.
1991
Differentiability of the minimal average action as a function of the rotation number. Zbl 0766.58033
Mather, John N.
1990
Minimal measures. Zbl 0689.58025
Mather, John N.
1989
Minimal action measures for positive-definite Lagrangian systems. Zbl 0850.70195
Mather, John N.
1989
Destruction of invariant circles. Zbl 0688.58024
Mather, John N.
1988
Modulus of continuity for Peierls’s barrier. Zbl 0658.58013
Mather, John N.
1987
Dynamics of area preserving maps. Zbl 0674.58026
Mather, John N.
1987
A criterion for the non-existence of invariant circles. Zbl 0603.58028
Mather, John
1986
More Denjoy minimal sets for area preserving diffeomorphisms. Zbl 0597.58015
Mather, John N.
1985
Commutators of diffeomorphisms. III: A group which is not perfect. Zbl 0575.58011
Mather, John N.
1985
Non-existence of invariant circles. Zbl 0557.58019
Mather, John N.
1984
Amount of rotation about a point and the Morse index. Zbl 0558.58010
Mather, John N.
1984
A curious remark concerning the geometric transfer map. Zbl 0535.58006
Mather, John N.
1984
Distance from a submanifold in euclidean space. Zbl 0519.58015
Mather, John N.
1983
Existence of quasi-periodic orbits for twist homeomorphisms of the annulus. Zbl 0506.58032
Mather, John N.
1982
Classification of isolated hypersurface singularities by their moduli algebras. Zbl 0499.32008
Mather, John N.; Yau, Stephen S.-T.
1982
Glancing billiards. Zbl 0525.58021
Mather, John N.
1982
Topological proofs of some purely topological consequences of Caratheodory’s theory of prime ends. Zbl 0506.57005
Mather, John N.
1982
Non-uniqueness of solutions of Percival’s Euler-Lagrange equation. Zbl 0553.58011
Mather, John N.
1982
Concavity of the Lagrangian for quasi-periodic orbits. Zbl 0508.58037
Mather, John N.
1982
Invariant subsets for area preserving homeomorphisms of surfaces. Zbl 0505.58027
Mather, John N.
1981
Criterion for biholomorphic equivalence of isolated hypersurface singularities. Zbl 0477.32005
Mather, John N.; Yau, Stephen S.-T.
1981
On the homology of Haefliger’s classifying space. Zbl 0469.57021
Mather, John N.
1979
Area preserving twist homeomorphism of the annulus. Zbl 0414.57002
Mather, John N.
1979
Differentiable invariants. Zbl 0376.58002
Mather, John N.
1977
How to stratify mappings and jet spaces. Zbl 0398.58008
Mather, John N.
1976
Commutators of diffeomorphisms. II. Zbl 0299.58008
Mather, John N.
1975
Solutions of the collinear four body problem which become unbounded in finite time. Zbl 0331.70005
Mather, J. N.; McGehee, R.
1975
Foliations and local homology of groups of diffeomorphisms. Zbl 0333.57015
Mather, John N.
1975
Loops and foliations. Zbl 0309.57009
Mather, John N.
1975
Commutators of diffeomorphisms. Zbl 0289.57014
Mather, John N.
1974
Simplicity of certain groups of diffeomorphisms. Zbl 0275.58007
Mather, John N.
1974
Stability of $$C^\infty$$ mappings. V: Transversality. Zbl 0286.58006
Mather, John N.
1974
Stability of $$C^\infty$$ mappings. VI: The nice dimensions. Zbl 0286.58005
Mather, J. N.
1974
Stratifications and mappings. Zbl 0286.58003
Mather, John N.
1973
Generic projections. Zbl 0242.58001
Mather, John N.
1973
Integrability in codimension 1. Zbl 0284.57016
Mather, John N.
1973
On Thom-Boardman singularities. Zbl 0292.58004
Mather, John N.
1973
Solutions of generic linear equations. Zbl 0272.26008
Mather, John N.
1973
Stratifications and mappings. Zbl 0253.58005
Mather, John N.
1972
Stability of $$C^ \infty$$-mappings. VI: The nice dimensions. Zbl 0211.56105
Mather, J. N.
1971
The vanishing of the homology of certain groups of homeomorphisms. Zbl 0207.21903
Mather, John N.
1971
On Haefliger’s classifying space. I. Zbl 0224.55022
Mather, John N.
1971
On Nirenberg’s proof of Malgrange’s preparation theorem. Zbl 0211.56102
Mather, J. N.
1971
Stable map-germs and algebraic geometry. Zbl 0217.04903
Mather, J. N.
1971
Stability of $$C^ \infty$$ mappings. V: Transversality. Zbl 0207.54303
Mather, J. N.
1970
Stability of $$C^ \infty$$ mappings. III: Finitely determined map germs. Zbl 0208.52001
Mather, J. N.
1970
Stability of $$C^\infty$$ mappings. II: Infinitesimal stability implies stability. Zbl 0177.26002
Mather, J. N.
1969
Stability of $$C^ \infty$$ mappings. IV: Classification of stable germs by R-algebras. Zbl 0202.55102
Mather, J. N.
1969
Some non-finitely determined map-germs. Zbl 0187.20504
Mather, J. N.
1969
Stability of $$C^ \infty$$ mappings. III: Finitely determined map germs. Zbl 0159.25001
Mather, J. N.
1968
Stability of $$C^ \infty$$ mappings. I: The division theorem. Zbl 0159.24902
Mather, John N.
1968
Characterization of Anosov diffeomorphisms. Zbl 0165.57001
Mather, J. N.
1968
Structural stability of mappings. Zbl 0216.20801
Mather, J.
1968
Topics in topology and differential geometry. Zbl 0177.26001
Bott, Raoul; Mather, J.
1968
Characterization of stable mappings. Zbl 0167.51803
Mather, J. N.
1968
Invariance of the homology of a lattice. Zbl 0147.42102
Mather, J.
1966
all top 5

#### Cited by 1,206 Authors

 26 de la Llave, Rafael 16 Damon, James Norman 16 Mather, John N. 15 Yau, Stephen Shing-Toung 14 Izumiya, Shyuichi 14 MacKay, Robert Sinclair 14 Yan, Jun 13 Cheng, Chong-Qing 13 Cui, Xiaojun 13 Sorrentino, Alfonso 12 Cheng, Wei 11 Bernard, Patrick 11 Gomes, Diogo Luís Aguiar 11 Meiss, James D. 10 Arnaud, Marie-Claude 10 Kaloshin, Vadim Yu. 10 Rabinowitz, Paul Henry 10 Soares Ruas, Maria Aparecida 10 Wang, Kaizhi 9 Bruce, James William 9 Rybicki, Tomasz 9 Valdinoci, Enrico 9 Wall, Charles Terence Clegg 8 Barreira, Luis Manuel 8 Bessi, Ugo 8 Celletti, Alessandra 8 Fathi, Albert 8 Isaev, Alexander 8 Ishikawa, Goo 8 Iturriaga, Renato 8 Mitake, Hiroyoshi 8 Saeki, Osamu 8 Valls Anglés, Cláudia 7 Bangert, Victor 7 Li, Xia 7 Nishimura, Takashi 7 Pei, Donghe 7 Qin, Wenxin 7 Sánchez-Morgado, Héctor 7 Tran Vinh Hung 7 Trotman, David John Angelo 6 Berger, Pierre 6 Bialy, Misha 6 Chierchia, Luigi 6 Delshams, Amadeu 6 Dragičević, Davor 6 Gaffney, Terence 6 Gidea, Marian 6 Greenberg, Peter 6 Greuel, Gert-Martin 6 Koropecki, Andres 6 Massart, Daniel 6 Michor, Peter Wolfram 6 Moser, Jürgen K. 6 M-Seara, Tere 6 Shiota, Masahiro 6 Wang, Yanan 6 Zuo, Huaiqing 5 Bernardi, Olga 5 Chen, Hao 5 Chen, Qinbo 5 Contreras, Gonzalo 5 Dias Carneiro, Mario Jorge 5 Dubois, Jean-Guy 5 Franks, John M. 5 Fukuda, Takuo 5 Goresky, Robert Mark 5 Gutkin, Eugene 5 Handel, Michael 5 Haro, Àlex 5 Ishii, Hitoshi 5 Le Calvez, Patrice 5 Lopes, Artur Oscar 5 Marò, Stefano 5 Mond, David Michael Quentin 5 Paternain, Gabriel Pedro 5 Pnevmatikos, Spyros N. 5 Su, Xifeng 5 Thieullen, Philippe 5 Wang, Lin 5 Wang, Lin 5 Zhang, Jianlu 4 Ando, Yoshifumi 4 Baesens, Claude 4 Bierstone, Edward 4 Bolotin, Sergeĭ Vladimirovich 4 Boyland, Philip L. 4 Cannarsa, Piermarco 4 Cardin, Franco 4 du Plessis, Andrew Allan 4 Dufour, Jean-Paul 4 Figalli, Alessio 4 Fuchs, Dmitry Borisovich 4 Fukui, Kazuhiko 4 Galligo, André 4 Golubitsky, Martin A. 4 Guzzo, Massimiliano 4 Hauser, Herwig 4 Knill, Oliver 4 Latushkin, Yuri ...and 1,106 more Authors
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#### Cited in 245 Serials

 49 Communications in Mathematical Physics 49 Journal of Differential Equations 41 Inventiones Mathematicae 41 Transactions of the American Mathematical Society 39 Annales de l’Institut Fourier 38 Physica D 34 Topology and its Applications 34 Ergodic Theory and Dynamical Systems 29 Advances in Mathematics 29 Proceedings of the American Mathematical Society 27 Mathematische Annalen 24 Mathematische Zeitschrift 23 Compositio Mathematica 19 Duke Mathematical Journal 17 Journal of Statistical Physics 17 Geometry & Topology 16 Calculus of Variations and Partial Differential Equations 15 Journal of Mathematical Analysis and Applications 14 Mathematical Proceedings of the Cambridge Philosophical Society 14 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 14 Geometriae Dedicata 14 Publications Mathématiques 14 Discrete and Continuous Dynamical Systems 13 Israel Journal of Mathematics 13 Manuscripta Mathematica 13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 13 Bulletin of the American Mathematical Society 12 Journal of Geometry and Physics 12 Journal of Pure and Applied Algebra 12 Chaos 11 Annali di Matematica Pura ed Applicata. Serie Quarta 11 Science China. Mathematics 10 Boletim da Sociedade Brasileira de Matemática 10 Journal of Algebra 10 Regular and Chaotic Dynamics 9 Communications on Pure and Applied Mathematics 9 Nonlinearity 9 Functional Analysis and its Applications 9 Journal of Functional Analysis 9 Science in China. Series A 9 Differential Geometry and its Applications 8 Journal of Mathematical Physics 8 Geometric and Functional Analysis. GAFA 8 Boletim da Sociedade Brasileira de Matemática. Nova Série 8 Algebraic & Geometric Topology 8 Bulletin of the Brazilian Mathematical Society. New Series 7 Archive for Rational Mechanics and Analysis 7 Proceedings of the Japan Academy. Series A 7 Annals of Global Analysis and Geometry 7 Communications in Partial Differential Equations 7 Bulletin of the American Mathematical Society. New Series 7 Acta Mathematica Sinica. English Series 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 Journal of Mathematical Sciences (New York) 6 Annales Henri Poincaré 5 Communications in Algebra 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Journal of the Mathematical Society of Japan 5 Kodai Mathematical Journal 5 Memoirs of the American Mathematical Society 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 5 Tohoku Mathematical Journal. Second Series 5 Chinese Annals of Mathematics. Series B 5 International Journal of Mathematics 5 Journal of Dynamics and Differential Equations 5 Journal of Nonlinear Science 5 Annals of Mathematics. Second Series 5 Advanced Nonlinear Studies 4 Journal d’Analyse Mathématique 4 Acta Mathematica 4 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 4 Journal of Mathematical Economics 4 Journal of Soviet Mathematics 4 The Journal of Geometric Analysis 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 NoDEA. Nonlinear Differential Equations and Applications 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Journal of the European Mathematical Society (JEMS) 4 Qualitative Theory of Dynamical Systems 4 Proceedings of the Steklov Institute of Mathematics 4 Journal of Topology and Analysis 4 Journal of Singularities 3 Letters in Mathematical Physics 3 Mathematical Notes 3 Mathematics of Computation 3 Chaos, Solitons and Fractals 3 Bulletin de la Société Mathématique de France 3 Cahiers de Topologie et Géométrie Différentielle Catégoriques 3 Monatshefte für Mathematik 3 Rendiconti del Seminario Matematico della Università di Padova 3 Discrete & Computational Geometry 3 Journal of the American Mathematical Society 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Acta Mathematica Sinica. New Series 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Experimental Mathematics 3 St. Petersburg Mathematical Journal 3 Bulletin des Sciences Mathématiques 3 Electronic Research Announcements of the American Mathematical Society ...and 145 more Serials
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#### Cited in 59 Fields

 546 Dynamical systems and ergodic theory (37-XX) 320 Global analysis, analysis on manifolds (58-XX) 246 Manifolds and cell complexes (57-XX) 171 Several complex variables and analytic spaces (32-XX) 151 Algebraic geometry (14-XX) 143 Mechanics of particles and systems (70-XX) 141 Differential geometry (53-XX) 116 Partial differential equations (35-XX) 75 Ordinary differential equations (34-XX) 71 Calculus of variations and optimal control; optimization (49-XX) 47 Algebraic topology (55-XX) 35 Statistical mechanics, structure of matter (82-XX) 31 Operator theory (47-XX) 30 Commutative algebra (13-XX) 29 Group theory and generalizations (20-XX) 29 General topology (54-XX) 28 Quantum theory (81-XX) 27 Topological groups, Lie groups (22-XX) 20 Real functions (26-XX) 19 Functional analysis (46-XX) 18 Measure and integration (28-XX) 16 Numerical analysis (65-XX) 15 Probability theory and stochastic processes (60-XX) 14 Nonassociative rings and algebras (17-XX) 13 Category theory; homological algebra (18-XX) 13 Computer science (68-XX) 12 Mechanics of deformable solids (74-XX) 12 Fluid mechanics (76-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Convex and discrete geometry (52-XX) 9 Combinatorics (05-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Associative rings and algebras (16-XX) 8 History and biography (01-XX) 8 Operations research, mathematical programming (90-XX) 7 Functions of a complex variable (30-XX) 7 Difference and functional equations (39-XX) 7 Optics, electromagnetic theory (78-XX) 7 Systems theory; control (93-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Number theory (11-XX) 5 Mathematical logic and foundations (03-XX) 5 Abstract harmonic analysis (43-XX) 5 Relativity and gravitational theory (83-XX) 5 Biology and other natural sciences (92-XX) 4 $$K$$-theory (19-XX) 4 Geometry (51-XX) 3 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Integral equations (45-XX) 1 Statistics (62-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX)

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