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Author ID: bonatti.christian Recent zbMATH articles by "Bonatti, Christian"
Published as: Bonatti, Christian; Bonatti, C.; Bonatti, Ch.
Homepage: http://bonatti.perso.math.cnrs.fr/
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Co-Authors

11 single-authored
25 Díaz, Lorenzo Justiniano
16 Crovisier, Sylvain
15 Grines, Vyacheslav Zigmundovich
9 Viana, Marcelo
8 Pochinka, Olga Vital’evna
8 Wilkinson, Amie
6 Gómez-Mont, Xavier
6 Potrie, Rafael
5 Abdenur, Flavio
5 Bochi, Jairo
5 Medvedev, Vladislav Sergeevich
5 Pécou, Elisabeth
4 Béguin, François
4 Langevin, Rémi
4 Yang, Dawei
4 Zhang, Jinhua
3 Gan, Shaobo
3 Gogolev, Andrey
3 Gourmelon, Nicolas
3 Guelman, Nancy
3 Shinohara, Katsutoshi
2 Da Luz, Adriana
2 Haefliger, André
2 Hattab, Hawete
2 Kolev, Boris
2 Li, Ming
2 Minkov, Stanislav S.
2 Pujals, Enrique Ramiro
2 Pumariño, Antonio
2 Salhi, Ezzeddine
2 Santiago, Bruno
2 Triestino, Michele
2 Vago, Gioia Maria
2 Wen, Lan
1 Alanís-López, Lilia
1 Alvarez, Sébastien
1 Alves, José Ferreira
1 Arnaud, Marie-Claude
1 Artal Bartolo, Enrique
1 Baladi, Viviane
1 Baraviera, Alexandre Tavares
1 Barthelmé, Thomas
1 Bohnet, Doris
1 Bowden, Jonathan Peter
1 Dolecki, Szymon
1 Dufraine, Emmanuel
1 Eskin, Alex
1 Eynard-Bontemps, Hélène
1 Farinelli, Églantine
1 Firmo, Sebastião
1 Fisher, Todd L.
1 Franks, John M.
1 Gambaudo, Jean-Marc
1 Gelfert, Katrin Grit
1 Gorodetskii, Anton Semenovich
1 Hammerlindl, Andy
1 Jeandenans, E.
1 Kim, Sang-Hyun
1 Kiriki, Shin
1 Koberda, Thomas
1 Kwietniak, Dominik
1 Laudenbach, François
1 Lion, Jean-Marie
1 Lodha, Yash
1 Martínez, Matilde
1 Matheus, Carlos
1 Monteverde, Ignacio
1 Moussu, Robert
1 Navas, Andrés
1 Nogura, Tsugunori
1 Okunev, A. V.
1 Okunev, Alexey
1 Paoluzzi, Luisa
1 Paris, Luis
1 Parwani, Kamlesh
1 Pinsky, Tali
1 Portilla Cuadrado, Pablo
1 Rivas, Cristóbal
1 Rocha, Jorge
1 Rodriguez-Hertz, Federico
1 Schmitt, Bernard
1 Shilin, I. S.
1 Shilin, Ivan
1 Teixeira, Marco Antonio
1 Tresser, Charles
1 Turcat, Gaël
1 Ures, Raúl
1 Vietez, J. L.
1 Villa, Manuel González
1 Villadelprat, Jordi
1 Vivier, Thérèse
1 Vuillemin, F.
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Serials

22 Ergodic Theory and Dynamical Systems
7 Topology
5 Topology and its Applications
4 Israel Journal of Mathematics
4 Nonlinearity
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Proceedings of the London Mathematical Society. Third Series
4 Transactions of the American Mathematical Society
4 Journal of the Institute of Mathematics of Jussieu
3 Commentarii Mathematici Helvetici
3 Fundamenta Mathematicae
3 Publications Mathématiques
3 Inventiones Mathematicae
3 Mathematische Zeitschrift
3 Comptes Rendus de l’Académie des Sciences. Série I
3 Discrete and Continuous Dynamical Systems
3 Geometry & Topology
3 Annals of Mathematics. Second Series
3 Journal of Modern Dynamics
2 Journal of Differential Equations
2 Proceedings of the American Mathematical Society
2 Boletim da Sociedade Brasileira de Matemática. Nova Série
2 Doklady Mathematics
2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
2 Proceedings of the Steklov Institute of Mathematics
1 Communications in Mathematical Physics
1 Annales de l’Institut Fourier
1 Duke Mathematical Journal
1 Functional Analysis and its Applications
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Notices of the American Mathematical Society
1 Indagationes Mathematicae. New Series
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Journal of Mathematical Sciences (New York)
1 Computational and Applied Mathematics
1 Journal of the European Mathematical Society (JEMS)
1 Journal of Dynamical and Control Systems
1 Algebraic & Geometric Topology
1 Moscow Mathematical Journal
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Astérisque
1 Encyclopaedia of Mathematical Sciences
1 Ensaios Matemáticos
1 Groups, Geometry, and Dynamics
1 Electronic Research Announcements in Mathematical Sciences
1 Science China. Mathematics

Publications by Year

Citations contained in zbMATH Open

124 Publications have been cited 2,130 times in 985 Documents Cited by Year
Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective. Zbl 1060.37020
Bonatti, Christian; Díaz, Lorenzo J.; Viana, Marcelo
228
2005
SRB measures for partially hyperbolic systems whose central direction is mostly expanding. Zbl 0962.37012
Alves, José F.; Bonatti, Christian; Viana, Marcelo
151
2000
Recurrence and genericity. (Récurrence et généricité.) Zbl 1071.37015
Bonatti, Christian; Crovisier, Sylvain
123
2004
SRB measures for partially hyperbolic systems whose central direction is mostly contracting. Zbl 0996.37033
Bonatti, Christian; Viana, Marcelo
121
2000
A \(C^1\)-generic dichotomy for diffeomorphisms: weak forms of hyperbolicity or infinitely many sinks of sources. Zbl 1049.37011
Bonatti, C.; Díaz, L. J.; Pujals, E. R.
120
2003
Nonuniform hyperbolicity for \(C^{1}\)-generic diffeomorphisms. Zbl 1246.37040
Abdenur, Flavio; Bonatti, Christian; Crovisier, Sylvain
77
2011
Persistent nonhyperbolic transitive diffeomorphisms. Zbl 0852.58066
Bonatti, Christian; Díaz, Lorenzo J.
75
1996
Knots as topological invariants for gradient-like diffeomorphisms of the sphere \(S^3\). Zbl 0959.37017
Bonatti, C.; Grines, V.
46
2000
Généricité d’exposants de Lyapunov non-nuls pour des produits déterministes de matrices. (Genericity of non-zero Lyapunov exponents for deterministic products of matrices). Zbl 1025.37018
Bonatti, Christian; Gómez-Mont, Xavier; Viana, Marcelo
43
2003
Robust heterodimensional cycles and \(C^1\)-generic dynamics. Zbl 1156.37004
Bonatti, Christian; Díaz, Lorenzo J.
42
2008
Perturbations of the derivative along periodic orbits. Zbl 1175.37027
Bonatti, Christian; Gourmelon, Nikolas; Vivier, Thérèse
39
2006
Transitive partially hyperbolic diffeomorphisms on 3-manifolds. Zbl 1074.57015
Bonatti, Christian; Wilkinson, Amie
35
2005
Periodic points and homoclinic classes. Zbl 1144.37007
Abdenur, F.; Bonatti, Ch.; Crovisier, S.; Díaz, L. J.; Wen, L.
34
2007
Removing zero Lyapunov exponents. Zbl 1048.37026
Baraviera, Alexandre T.; Bonatti, Christian
34
2003
Lyapunov exponents with multiplicity 1 for deterministic products of matrices. Zbl 1087.37017
Bonatti, C.; Viana, M.
31
2004
Lorenz attractors with arbitrary expanding dimension. Zbl 0896.58043
Bonatti, Christian; Pumariño, António; Viana, Marcelo
27
1997
Robust criterion for the existence of nonhyperbolic ergodic measures. Zbl 1368.37036
Bochi, Jairo; Bonatti, Christian; Díaz, Lorenzo J.
25
2016
Abundance of \(C^{1}\)-robust homoclinic tangencies. Zbl 1300.37013
Bonatti, Christian; Díaz, Lorenzo J.
25
2012
Minimality of strong stable and unstable foliations for partially hyperbolic diffeomorphisms. Zbl 1031.37030
Bonatti, Christian; Díaz, Lorenzo J.; Ures, Raúl
24
2002
There is no “Shadowing lemma” for partially hyperbolic dynamics. (Pas de “Shadowing Lemma” pour les dynamiques partiellement hyperboliques.) Zbl 0973.37016
Bonatti, Christian; Díaz, Lorenzo J.; Turcat, Gaël
23
2000
On maximal transitive sets of generic diffeomorphisms. Zbl 1032.37011
Bonatti, Christian; Dıaz, Lorenzo J.
23
2002
Three-manifolds admitting Morse-Smale diffeomorphisms without heteroclinic curves. Zbl 1157.37309
Bonatti, C.; Grines, V.; Medvedev, V.; Pécou, E.
22
2002
Topological classification of gradient-like diffeomorphisms on 3-manifolds. Zbl 1056.37023
Bonatti, C.; Grines, V.; Medvedev, V.; Pécou, E.
22
2004
The \(C^1\) generic diffeomorphism has trivial centralizer. Zbl 1177.37025
Bonatti, Christian; Crovisier, Sylvain; Wilkinson, Amie
21
2009
Robustly transitive sets and heterodimensional cycles. Zbl 1056.37024
Bonatti, Christian; Díaz, Lorenzo J.; Pujals, Enrique R.; Rocha, Jorge
21
2003
Towards a global view of dynamical systems, for the \(C^{1}\)-topology. Zbl 1256.37006
Bonatti, C.
21
2011
Classification of Morse-Smale diffeomorphisms with a finite set of heteroclinic orbits on 3-manifolds. Zbl 1138.37307
Bonatti, C.; Grines, V. Z.; Pochinka, O. V.
18
2005
Non-hyperbolic ergodic measures with large support. Zbl 1195.37013
Bonatti, Christian; Díaz, Lorenzo J.; Gorodetski, Anton
18
2010
Stabilization of heterodimensional cycles. Zbl 1284.37020
Bonatti, C.; Díaz, L. J.; Kiriki, S.
17
2012
Heteroclinic connections and genericity of infinitely many sinks and sources. (Connexions hétéroclines et généricité d’une infinité de puits et de sources.) Zbl 0944.37012
Bonatti, Christian; Díaz, Lorenzo
17
1999
Smale diffeomorphisms of surfaces. With the collab. of Emmanuelle Jeandenans. (Difféomorphismes de Smale des surfaces. Avec la collaboration d’Emmanuelle Jeandenans.) Zbl 0922.58058
Bonatti, C.; Langevin, R.
17
1998
Un point fixe commun pour des difféomorphismes commutants de \(S^ 2\). (A common fixed point for commutating diffeomorphisms of \(S^ 2\).). Zbl 0689.57019
Bonatti, Christian
17
1989
An example of transitive Anosov flows transversal to a torus and not conjugated to a suspension. (Un exemple de flot d’Anosov transitif transverse à un tore et non conjugué à une suspension.) Zbl 0826.58026
Bonatti, Christian; Langevin, Remi
16
1994
Non-wandering sets with non-empty interiors. Zbl 1083.37020
Abdenur, Flavio; Bonatti, Christian; Díaz, Lorenzo J.
16
2004
Perturbation of the Lyapunov spectra of periodic orbits. Zbl 1268.37027
Bochi, J.; Bonatti, C.
15
2012
Statistical behaviour of the leaves of certain holomorphic foliations. (Sur le comportement statistique des feuilles de certains feuilletages holomorphes.) Zbl 1010.37025
Bonatti, Christian; Gómez-Mont, Xavier
15
2001
Anomalous partially hyperbolic diffeomorphisms. II: Stably ergodic examples. Zbl 1370.37069
Bonatti, Christian; Gogolev, Andrey; Potrie, Rafael
15
2016
Generic symplectic dynamics. (Dynamiques symplectiques génériques.) Zbl 1084.37017
Arnaud, Marie-Claude; Bonatti, Christian; Crovisier, Sylvain
14
2005
Partially hyperbolic diffeomorphisms with a uniformly compact center foliation: the quotient dynamics. Zbl 1362.37075
Bohnet, Doris; Bonatti, Christian
14
2016
On the existence of non-trivial homoclinic classes. Zbl 1128.37021
Bonatti, Christian; Gan, Shaobo; Wen, Lan
13
2007
Local density of diffeomorphisms with large centralizers. Zbl 1163.58003
Bonatti, Christian; Crovisier, Sylvain; Vago, Gioia M.; Wilkinson, Amie
13
2008
Abnormal escape rates from nonuniformly hyperbolic sets. Zbl 0987.37018
Baladi, Viviane; Bonatti, Christian; Schmitt, Bernard
12
1999
The \(C^{1+\alpha}\) hypothesis in Pesin theory revisited. Zbl 1312.37018
Bonatti, Christian; Crovisier, Sylvain; Shinohara, Katsutoshi
12
2013
Generic diffeomorphisms on compact surfaces. Zbl 1089.37032
Abdenur, Flavio; Bonatti, Christian; Crovisier, Sylvain; Díaz, Lorenzo J.
12
2005
On the hyperbolicity of homoclinic classes. Zbl 1200.37023
Bonatti, Christian; Gan, Shaobo; Yang, Dawei
11
2009
Rigidity for \(C^1\) actions on the interval arising from hyperbolicity. I: Solvable groups. Zbl 1433.37030
Bonatti, C.; Monteverde, Ignacio; Navas, Andres; Rivas, Cristobal
11
2017
Difféomorphismes commutants des surfaces et stabilité des fibrations en tores. (Commuting diffeomorphisms of surfaces and stability of fibrations by tori). Zbl 0703.57015
Bonatti, Christian
11
1990
Foliations in \(\mathbb{C} P(n)\): About hyperbolic holonomy for minimal exceptional sets. (Feuilletages de \(\mathbf C\mathbf P(n)\): De l’holonomie hyperbolique pour les minimaux exceptionnels.) Zbl 0782.32023
Bonatti, C.; Langevin, R.; Moussu, R.
10
1992
Robust vanishing of all Lyapunov exponents for iterated function systems. Zbl 1284.37044
Bochi, Jairo; Bonatti, Christian; Díaz, Lorenzo J.
10
2014
Smale flows in dimension 3: finite presentations of invariant neighbourhoods of saddle sets. (Flots de Smale en dimension 3: Présentations finies de voisinages invariants d’ensembles selles.) Zbl 1102.37307
Béguin, F.; Bonatti, C.
10
2002
Internal perturbations of homoclinic classes: non-domination, cycles, and self-replication. Zbl 1303.37008
Bonatti, Ch.; Crovisier, S.; Díaz, L. J.; Gourmelon, N.
10
2013
Statistical behaviour of the leaves of Riccati foliations. Zbl 1209.37055
Bonatti, Ch.; Gómez-Mont, X.; Vila-Freyer, R.
10
2010
Axiom A diffeomorphisms derived from Anosov flows. Zbl 1201.37033
Bonatti, Christian; Guelman, Nancy
10
2010
Anomalous partially hyperbolic diffeomorphisms. I: Dynamically coherent examples. (Difféomorphismes partiellement hyperboliques anormaux. I: Exemples dynamiquement cohérents.) Zbl 1375.37093
Bonatti, Christian; Parwani, Kamlesh; Potrie, Rafael
10
2016
Center manifolds for partially hyperbolic sets without strong unstable connections. Zbl 1362.37069
Bonatti, Christian; Crovisier, Sylvain
9
2016
Building Anosov flows on 3-manifolds. Zbl 1375.37083
Béguin, François; Bonatti, Christian; Yu, Bin
9
2017
Dominated Pesin theory: convex sum of hyperbolic measures. Zbl 1408.37054
Bochi, Jairo; Bonatti, Christian; Gelfert, Katrin
9
2018
Roots in the mapping class groups. Zbl 1160.57014
Bonatti, Christian; Paris, Luis
9
2009
What is \(\ldots a\) blender? Zbl 1352.37075
Bonatti, Ch.; Crovisier, S.; Díaz, L. J.; Wilkinson, A.
9
2016
\(C^1\)-generic conservative diffeomorphisms have trivial centralizer. Zbl 1149.37017
Bonatti, Christian; Crovisier, Sylvain; Wilkinson, Amie
8
2008
Bifurcations of Morse-Smale diffeomorphisms with wildly embedded separatrices. Zbl 1153.37340
Bonatti, C.; Grines, V. Z.; Medvedev, V. S.; Pochinka, O. V.
8
2007
Commuting analytic vector fields in dimension 3 or 4: Existence of common zeros. (Champs de vecteurs analytiques commutants, en dimension 3 ou 4: Existence de zeros communs.) Zbl 0776.57013
Bonatti, Christian
8
1992
Dominated chain recurrent class with singularities. Zbl 1371.37027
Bonatti, Christian; Gan, Shaobo; Yang, Dawei
8
2015
Periodic measures and partially hyperbolic homoclinic classes. Zbl 1421.37018
Bonatti, Christian; Zhang, Jinhua
7
2019
Super exponential growth of the number of periodic orbits inside homoclinic classes. Zbl 1145.37015
Bonatti, Christian; Díaz, Lorenzo J.; Fisher, Todd
7
2008
Discontinuity of the Hausdorff dimension of hyperbolic sets. Zbl 0852.54038
Bonatti, Christian; Díaz, Lorenzo Justiniano; Viana, Marcelo
7
1995
Topological classification of Morse-Smale diffeomorphisms on \(3\)-manifolds. Zbl 1435.37050
Bonatti, C.; Grines, V.; Pochinka, O.
7
2019
Abundance of stable ergodicity. Zbl 1052.37023
Bonatti, Christian; Matheus, Carlos; Viana, Marcelo; Wilkinson, Amie
7
2004
Global dominated splittings and the \( C^1\) Newhouse phenomenon. Zbl 1088.37013
Abdenur, Flavio; Bonatti, Christian; Crovisier, Sylvain
7
2006
On the topological classification of gradient-like diffeomorphisms without heteroclinic curves on three-dimensional manifolds. Zbl 1041.37007
Bonatti, C.; Grines, V. Z.; Medvedev, V. S.; Pecou, E.
7
2001
Classification of Morse-Smale diffeomorphisms with the chain of saddles on 3-manifolds. Zbl 1222.37021
Bonatti, Christian; Grines, Viacheslav; Pochinka, Olga
7
2006
Anomalous partially hyperbolic diffeomorphisms. III: Abundance and incoherence. Zbl 1470.37049
Bonatti, Christian; Gogolev, Andrey; Hammerlindl, Andy; Potrie, Rafael
6
2020
3-manifolds which are orbit spaces of diffeomorphisms. Zbl 1165.37001
Bonatti, C.; Paoluzzi, L.
6
2008
Compact leaves of a generic codimension 1 foliation. (Feuilles compactes d’un feuilletage générique en codimension 1.) Zbl 0828.57022
Bonatti, Christian; Firmo, Sebastião
6
1994
Two-dimensional links and diffeomorphisms on 3-manifolds. Zbl 1008.37013
Bonatti, Christian; Grines, Viatcheslav; Pécou, Elisabeth
6
2002
On Morse-Smale diffeomorphisms without heteroclinic intersections on three-manifolds. Zbl 1011.37013
Bonatti, C.; Grines, V. Z.; Medvedev, V. S.; Pécou, E.
6
2002
A robustly chain transitive attractor with singularities of different indices. Zbl 1304.37002
Bonatti, Christian; Li, Ming; Yang, Dawei
6
2013
Déformations de feuilletages. (Deformations of foliations). Zbl 0703.57013
Bonatti, C.; Haefliger, A.
6
1990
Transitive partially hyperbolic diffeomorphisms with one-dimensional neutral center. Zbl 1472.37034
Bonatti, Christian; Zhang, Jinhua
5
2020
A criterion for zero averages and full support of ergodic measures. Zbl 07069469
Bonatti, Christian; Díaz, Lorenzo J.; Bochi, Jairo
5
2018
Foliations near to a fibration. (Feuilletages proches d’une fibration.) Zbl 1214.53022
Bonatti, C.
5
1993
On the existence of attractors. Zbl 1272.37019
Bonatti, Christian; Li, Ming; Yang, Dawei
5
2013
Quasi-orbit spaces associated to \(T_0\)-spaces. Zbl 1218.54025
Bonatti, C.; Hattab, H.; Salhi, E.
5
2011
The index of holomorphic vector fields on singular varieties. I. Zbl 0810.32017
Bonatti, Ch.; Gómez-Mont, X.
5
1994
Wandering domains for infinitely renormalizable diffeomorphisms of the disk. Zbl 0843.57016
Bonatti, Christian; Gambaudo, Jean Marc; Lion, Jean Marie; Tresser, Charles
5
1994
Topological equivalence of saddle connections in dimension 3. (Équivalence topologique de connexions de selles en dimension 3.) Zbl 1056.37030
Bonatti, Christian; Dufraine, Emmanuel
5
2003
Topological classification of Morse-Smale diffeomorphisms without heteroclinic curves on 3-manifolds. Zbl 1431.37032
Bonatti, Ch.; Grines, V.; Laudenbach, F.; Pochinka, O.
4
2019
Transitive Anosov flows and Axiom-A diffeomorphisms. Zbl 1173.37028
Bonatti, Christian; Guelman, Nancy
4
2009
Dynamical systems in dimension 2 and 3: conjugacy invariants and classification. Zbl 1121.37306
Bonatti, C.; Grines, V.; Langevin, R.
4
2001
Centralizers of \(C^1\)-contractions of the half line. Zbl 1326.22019
Bonatti, Christian; Farinelli, Églantine
4
2015
Transverse foliations on the torus \(\mathbb{T}^2\) and partially hyperbolic diffeomorphisms on 3-manifolds. Zbl 1380.37065
Bonatti, Christian; Zhang, Jinhua
4
2017
Realization of Morse-Smale diffeomorphisms on 3-manifolds. Zbl 1377.37044
Bonatti, Ch.; Grines, V. Z.; Pochinka, Olga V.
4
2017
Cubic tangencies and hyperbolic diffeomorphisms. Zbl 0943.37012
Bonatti, Ch.; Díaz, L. J.; Vuillemin, F.
4
1998
Hasse diagrams and orbit class spaces. Zbl 1213.54050
Bonatti, C.; Hattab, H.; Salhi, E.; Vago, G.
4
2011
The index of stable critical points. Zbl 1013.37016
Bonatti, Christian; Villadelprat, Jordi
4
2002
Star flows and multisingular hyperbolicity. Zbl 1487.37037
Bonatti, Christian; Da Luz, Adriana
3
2021
Hyperbolicity as an obstruction to smoothability for one-dimensional actions. Zbl 1428.37029
Bonatti, Christian; Lodha, Yash; Triestino, Michele
3
2019
The centralizer of a \(C^1\)-generic diffeomorphism is trivial. Zbl 1149.37012
Bonatti, Christian; Crovisier, Sylvain; Wilkinson, Amie
3
2008
A Hölder continuous vector field tangent to many foliations. Zbl 1147.37313
Bonatti, Christian; Franks, John
3
2004
Fragile cycles. Zbl 1279.37022
Bonatti, Ch.; Díaz, L. J.
3
2012
Star flows and multisingular hyperbolicity. Zbl 1487.37037
Bonatti, Christian; Da Luz, Adriana
3
2021
Robust existence of nonhyperbolic ergodic measures with positive entropy and full support. Zbl 1492.37040
Bonatti, Christian; Díaz, Lorenzo J.; Kwietniak, Dominik
1
2021
Anomalous Anosov flows revisited. Zbl 1495.37030
Barthelmé, Thomas; Bonatti, Christian; Gogolev, Andrey; Rodriguez Hertz, Federico
1
2021
Anomalous partially hyperbolic diffeomorphisms. III: Abundance and incoherence. Zbl 1470.37049
Bonatti, Christian; Gogolev, Andrey; Hammerlindl, Andy; Potrie, Rafael
6
2020
Transitive partially hyperbolic diffeomorphisms with one-dimensional neutral center. Zbl 1472.37034
Bonatti, Christian; Zhang, Jinhua
5
2020
Foliated hyperbolicity and foliations with hyperbolic leaves. Zbl 1439.37041
Bonatti, Christian; Gómez-Mont, Xavier; Martínez, Matilde
2
2020
Projective cocycles over \(\operatorname{SL}(2,\mathbb{R})\) actions: measures invariant under the upper triangular group. Zbl 1470.37042
Bonatti, Christian; Eskin, Alex; Wilkinson, Amie
1
2020
Periodic measures and partially hyperbolic homoclinic classes. Zbl 1421.37018
Bonatti, Christian; Zhang, Jinhua
7
2019
Topological classification of Morse-Smale diffeomorphisms on \(3\)-manifolds. Zbl 1435.37050
Bonatti, C.; Grines, V.; Pochinka, O.
7
2019
Topological classification of Morse-Smale diffeomorphisms without heteroclinic curves on 3-manifolds. Zbl 1431.37032
Bonatti, Ch.; Grines, V.; Laudenbach, F.; Pochinka, O.
4
2019
Hyperbolicity as an obstruction to smoothability for one-dimensional actions. Zbl 1428.37029
Bonatti, Christian; Lodha, Yash; Triestino, Michele
3
2019
Dominated Pesin theory: convex sum of hyperbolic measures. Zbl 1408.37054
Bochi, Jairo; Bonatti, Christian; Gelfert, Katrin
9
2018
A criterion for zero averages and full support of ergodic measures. Zbl 07069469
Bonatti, Christian; Díaz, Lorenzo J.; Bochi, Jairo
5
2018
Many intermingled basins in dimension 3. Zbl 1398.37017
Bonatti, Christian; Potrie, Rafael
3
2018
Weak hyperbolic structures and robust properties of diffeomorphisms and flows. Zbl 1401.37037
Bonatti, Christian; da Luz, Adriana
2
2018
Volume hyperbolicity and wildness. Zbl 1390.37049
Bonatti, Christian; Shinohara, Katsutoshi
1
2018
Rigidity for \(C^1\) actions on the interval arising from hyperbolicity. I: Solvable groups. Zbl 1433.37030
Bonatti, C.; Monteverde, Ignacio; Navas, Andres; Rivas, Cristobal
11
2017
Building Anosov flows on 3-manifolds. Zbl 1375.37083
Béguin, François; Bonatti, Christian; Yu, Bin
9
2017
Transverse foliations on the torus \(\mathbb{T}^2\) and partially hyperbolic diffeomorphisms on 3-manifolds. Zbl 1380.37065
Bonatti, Christian; Zhang, Jinhua
4
2017
Realization of Morse-Smale diffeomorphisms on 3-manifolds. Zbl 1377.37044
Bonatti, Ch.; Grines, V. Z.; Pochinka, Olga V.
4
2017
Existence of common zeros for commuting vector fields on three manifolds. (Existence de zéros communs pour les champs de vecteurs qui commutent sur les 3-variétés.) Zbl 1405.37026
Bonatti, Christian; Santiago, Bruno
1
2017
A \(C^1\) Anosov diffeomorphism with a horseshoe that attracts almost any point. Zbl 1377.37047
Bonatti, C.; Minkov, S. S.; Okunev, A. V.; Shilin, I. S.
1
2017
Robust criterion for the existence of nonhyperbolic ergodic measures. Zbl 1368.37036
Bochi, Jairo; Bonatti, Christian; Díaz, Lorenzo J.
25
2016
Anomalous partially hyperbolic diffeomorphisms. II: Stably ergodic examples. Zbl 1370.37069
Bonatti, Christian; Gogolev, Andrey; Potrie, Rafael
15
2016
Partially hyperbolic diffeomorphisms with a uniformly compact center foliation: the quotient dynamics. Zbl 1362.37075
Bohnet, Doris; Bonatti, Christian
14
2016
Anomalous partially hyperbolic diffeomorphisms. I: Dynamically coherent examples. (Difféomorphismes partiellement hyperboliques anormaux. I: Exemples dynamiquement cohérents.) Zbl 1375.37093
Bonatti, Christian; Parwani, Kamlesh; Potrie, Rafael
10
2016
Center manifolds for partially hyperbolic sets without strong unstable connections. Zbl 1362.37069
Bonatti, Christian; Crovisier, Sylvain
9
2016
What is \(\ldots a\) blender? Zbl 1352.37075
Bonatti, Ch.; Crovisier, S.; Díaz, L. J.; Wilkinson, A.
9
2016
Connectedness of the space of smooth actions of \(\mathbb{Z}^{n}\) on the interval. Zbl 1375.37081
Bonatti, Christian; Eynard-Bontemps, Hélène
2
2016
A spectral-like decomposition for transitive Anosov flows in dimension three. Zbl 1384.37038
Beguin, F.; Bonatti, C.; Yu, B.
1
2016
Dominated chain recurrent class with singularities. Zbl 1371.37027
Bonatti, Christian; Gan, Shaobo; Yang, Dawei
8
2015
Centralizers of \(C^1\)-contractions of the half line. Zbl 1326.22019
Bonatti, Christian; Farinelli, Églantine
4
2015
Flexible periodic points. Zbl 1352.37076
Bonatti, Christian; Shinohara, Katsutoshi
2
2015
Robust vanishing of all Lyapunov exponents for iterated function systems. Zbl 1284.37044
Bochi, Jairo; Bonatti, Christian; Díaz, Lorenzo J.
10
2014
Smooth conjugacy classes of circle diffeomorphisms with irrational rotation number. Zbl 1346.37045
Bonatti, Christian; Guelman, Nancy
2
2014
Tame dynamics and robust transitivity chain-recurrence classes versus homoclinic classes. Zbl 1309.37025
Bonatti, C.; Crovisier, S.; Gourmelon, N.; Potrie, R.
1
2014
The \(C^{1+\alpha}\) hypothesis in Pesin theory revisited. Zbl 1312.37018
Bonatti, Christian; Crovisier, Sylvain; Shinohara, Katsutoshi
12
2013
Internal perturbations of homoclinic classes: non-domination, cycles, and self-replication. Zbl 1303.37008
Bonatti, Ch.; Crovisier, S.; Díaz, L. J.; Gourmelon, N.
10
2013
A robustly chain transitive attractor with singularities of different indices. Zbl 1304.37002
Bonatti, Christian; Li, Ming; Yang, Dawei
6
2013
On the existence of attractors. Zbl 1272.37019
Bonatti, Christian; Li, Ming; Yang, Dawei
5
2013
Abundance of \(C^{1}\)-robust homoclinic tangencies. Zbl 1300.37013
Bonatti, Christian; Díaz, Lorenzo J.
25
2012
Stabilization of heterodimensional cycles. Zbl 1284.37020
Bonatti, C.; Díaz, L. J.; Kiriki, S.
17
2012
Perturbation of the Lyapunov spectra of periodic orbits. Zbl 1268.37027
Bochi, J.; Bonatti, C.
15
2012
Fragile cycles. Zbl 1279.37022
Bonatti, Ch.; Díaz, L. J.
3
2012
Nonuniform hyperbolicity for \(C^{1}\)-generic diffeomorphisms. Zbl 1246.37040
Abdenur, Flavio; Bonatti, Christian; Crovisier, Sylvain
77
2011
Towards a global view of dynamical systems, for the \(C^{1}\)-topology. Zbl 1256.37006
Bonatti, C.
21
2011
Quasi-orbit spaces associated to \(T_0\)-spaces. Zbl 1218.54025
Bonatti, C.; Hattab, H.; Salhi, E.
5
2011
Hasse diagrams and orbit class spaces. Zbl 1213.54050
Bonatti, C.; Hattab, H.; Salhi, E.; Vago, G.
4
2011
Non-hyperbolic ergodic measures with large support. Zbl 1195.37013
Bonatti, Christian; Díaz, Lorenzo J.; Gorodetski, Anton
18
2010
Statistical behaviour of the leaves of Riccati foliations. Zbl 1209.37055
Bonatti, Ch.; Gómez-Mont, X.; Vila-Freyer, R.
10
2010
Axiom A diffeomorphisms derived from Anosov flows. Zbl 1201.37033
Bonatti, Christian; Guelman, Nancy
10
2010
The \(C^1\) generic diffeomorphism has trivial centralizer. Zbl 1177.37025
Bonatti, Christian; Crovisier, Sylvain; Wilkinson, Amie
21
2009
On the hyperbolicity of homoclinic classes. Zbl 1200.37023
Bonatti, Christian; Gan, Shaobo; Yang, Dawei
11
2009
Roots in the mapping class groups. Zbl 1160.57014
Bonatti, Christian; Paris, Luis
9
2009
Transitive Anosov flows and Axiom-A diffeomorphisms. Zbl 1173.37028
Bonatti, Christian; Guelman, Nancy
4
2009
Robust heterodimensional cycles and \(C^1\)-generic dynamics. Zbl 1156.37004
Bonatti, Christian; Díaz, Lorenzo J.
42
2008
Local density of diffeomorphisms with large centralizers. Zbl 1163.58003
Bonatti, Christian; Crovisier, Sylvain; Vago, Gioia M.; Wilkinson, Amie
13
2008
\(C^1\)-generic conservative diffeomorphisms have trivial centralizer. Zbl 1149.37017
Bonatti, Christian; Crovisier, Sylvain; Wilkinson, Amie
8
2008
Super exponential growth of the number of periodic orbits inside homoclinic classes. Zbl 1145.37015
Bonatti, Christian; Díaz, Lorenzo J.; Fisher, Todd
7
2008
3-manifolds which are orbit spaces of diffeomorphisms. Zbl 1165.37001
Bonatti, C.; Paoluzzi, L.
6
2008
The centralizer of a \(C^1\)-generic diffeomorphism is trivial. Zbl 1149.37012
Bonatti, Christian; Crovisier, Sylvain; Wilkinson, Amie
3
2008
Periodic points and homoclinic classes. Zbl 1144.37007
Abdenur, F.; Bonatti, Ch.; Crovisier, S.; Díaz, L. J.; Wen, L.
34
2007
On the existence of non-trivial homoclinic classes. Zbl 1128.37021
Bonatti, Christian; Gan, Shaobo; Wen, Lan
13
2007
Bifurcations of Morse-Smale diffeomorphisms with wildly embedded separatrices. Zbl 1153.37340
Bonatti, C.; Grines, V. Z.; Medvedev, V. S.; Pochinka, O. V.
8
2007
Perturbations of the derivative along periodic orbits. Zbl 1175.37027
Bonatti, Christian; Gourmelon, Nikolas; Vivier, Thérèse
39
2006
Global dominated splittings and the \( C^1\) Newhouse phenomenon. Zbl 1088.37013
Abdenur, Flavio; Bonatti, Christian; Crovisier, Sylvain
7
2006
Classification of Morse-Smale diffeomorphisms with the chain of saddles on 3-manifolds. Zbl 1222.37021
Bonatti, Christian; Grines, Viacheslav; Pochinka, Olga
7
2006
Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective. Zbl 1060.37020
Bonatti, Christian; Díaz, Lorenzo J.; Viana, Marcelo
228
2005
Transitive partially hyperbolic diffeomorphisms on 3-manifolds. Zbl 1074.57015
Bonatti, Christian; Wilkinson, Amie
35
2005
Classification of Morse-Smale diffeomorphisms with a finite set of heteroclinic orbits on 3-manifolds. Zbl 1138.37307
Bonatti, C.; Grines, V. Z.; Pochinka, O. V.
18
2005
Generic symplectic dynamics. (Dynamiques symplectiques génériques.) Zbl 1084.37017
Arnaud, Marie-Claude; Bonatti, Christian; Crovisier, Sylvain
14
2005
Generic diffeomorphisms on compact surfaces. Zbl 1089.37032
Abdenur, Flavio; Bonatti, Christian; Crovisier, Sylvain; Díaz, Lorenzo J.
12
2005
Recurrence and genericity. (Récurrence et généricité.) Zbl 1071.37015
Bonatti, Christian; Crovisier, Sylvain
123
2004
Lyapunov exponents with multiplicity 1 for deterministic products of matrices. Zbl 1087.37017
Bonatti, C.; Viana, M.
31
2004
Topological classification of gradient-like diffeomorphisms on 3-manifolds. Zbl 1056.37023
Bonatti, C.; Grines, V.; Medvedev, V.; Pécou, E.
22
2004
Non-wandering sets with non-empty interiors. Zbl 1083.37020
Abdenur, Flavio; Bonatti, Christian; Díaz, Lorenzo J.
16
2004
Abundance of stable ergodicity. Zbl 1052.37023
Bonatti, Christian; Matheus, Carlos; Viana, Marcelo; Wilkinson, Amie
7
2004
A Hölder continuous vector field tangent to many foliations. Zbl 1147.37313
Bonatti, Christian; Franks, John
3
2004
Classification of Morse-Smale diffeomorphisms with finite sets of heteroclinic orbits on 3-manifolds. Zbl 1282.37022
Bonatti, Ch.; Grines, V. Z.; Pochina, O. V.
1
2004
A \(C^1\)-generic dichotomy for diffeomorphisms: weak forms of hyperbolicity or infinitely many sinks of sources. Zbl 1049.37011
Bonatti, C.; Díaz, L. J.; Pujals, E. R.
120
2003
Généricité d’exposants de Lyapunov non-nuls pour des produits déterministes de matrices. (Genericity of non-zero Lyapunov exponents for deterministic products of matrices). Zbl 1025.37018
Bonatti, Christian; Gómez-Mont, Xavier; Viana, Marcelo
43
2003
Removing zero Lyapunov exponents. Zbl 1048.37026
Baraviera, Alexandre T.; Bonatti, Christian
34
2003
Robustly transitive sets and heterodimensional cycles. Zbl 1056.37024
Bonatti, Christian; Díaz, Lorenzo J.; Pujals, Enrique R.; Rocha, Jorge
21
2003
Topological equivalence of saddle connections in dimension 3. (Équivalence topologique de connexions de selles en dimension 3.) Zbl 1056.37030
Bonatti, Christian; Dufraine, Emmanuel
5
2003
Recurrence and genericity. Zbl 1027.37011
Bonatti, Christian; Crovisier, Sylvain
3
2003
Minimality of strong stable and unstable foliations for partially hyperbolic diffeomorphisms. Zbl 1031.37030
Bonatti, Christian; Díaz, Lorenzo J.; Ures, Raúl
24
2002
On maximal transitive sets of generic diffeomorphisms. Zbl 1032.37011
Bonatti, Christian; Dıaz, Lorenzo J.
23
2002
Three-manifolds admitting Morse-Smale diffeomorphisms without heteroclinic curves. Zbl 1157.37309
Bonatti, C.; Grines, V.; Medvedev, V.; Pécou, E.
22
2002
Smale flows in dimension 3: finite presentations of invariant neighbourhoods of saddle sets. (Flots de Smale en dimension 3: Présentations finies de voisinages invariants d’ensembles selles.) Zbl 1102.37307
Béguin, F.; Bonatti, C.
10
2002
Two-dimensional links and diffeomorphisms on 3-manifolds. Zbl 1008.37013
Bonatti, Christian; Grines, Viatcheslav; Pécou, Elisabeth
6
2002
On Morse-Smale diffeomorphisms without heteroclinic intersections on three-manifolds. Zbl 1011.37013
Bonatti, C.; Grines, V. Z.; Medvedev, V. S.; Pécou, E.
6
2002
The index of stable critical points. Zbl 1013.37016
Bonatti, Christian; Villadelprat, Jordi
4
2002
\(C^1\)-generic dynamics: Tame and wild behaviour. Zbl 1136.37318
Bonatti, C.
1
2002
Statistical behaviour of the leaves of certain holomorphic foliations. (Sur le comportement statistique des feuilles de certains feuilletages holomorphes.) Zbl 1010.37025
Bonatti, Christian; Gómez-Mont, Xavier
15
2001
On the topological classification of gradient-like diffeomorphisms without heteroclinic curves on three-dimensional manifolds. Zbl 1041.37007
Bonatti, C.; Grines, V. Z.; Medvedev, V. S.; Pecou, E.
7
2001
Dynamical systems in dimension 2 and 3: conjugacy invariants and classification. Zbl 1121.37306
Bonatti, C.; Grines, V.; Langevin, R.
4
2001
SRB measures for partially hyperbolic systems whose central direction is mostly expanding. Zbl 0962.37012
Alves, José F.; Bonatti, Christian; Viana, Marcelo
151
2000
SRB measures for partially hyperbolic systems whose central direction is mostly contracting. Zbl 0996.37033
Bonatti, Christian; Viana, Marcelo
121
2000
Knots as topological invariants for gradient-like diffeomorphisms of the sphere \(S^3\). Zbl 0959.37017
Bonatti, C.; Grines, V.
46
2000
There is no “Shadowing lemma” for partially hyperbolic dynamics. (Pas de “Shadowing Lemma” pour les dynamiques partiellement hyperboliques.) Zbl 0973.37016
Bonatti, Christian; Díaz, Lorenzo J.; Turcat, Gaël
23
2000
...and 24 more Documents
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Cited by 684 Authors

49 Bonatti, Christian
42 Grines, Vyacheslav Zigmundovich
42 Pochinka, Olga Vital’evna
35 Lee, Manseob
26 Varandas, Paulo
22 Alves, José Ferreira
22 Díaz, Lorenzo Justiniano
22 Viana, Marcelo
21 Araújo, Vítor
21 Bessa, Mário
21 Morales, Carlos Arnoldo
21 Yang, Jiagang
20 Crovisier, Sylvain
20 Medvedev, Vladislav Sergeevich
19 Potrie, Rafael
19 Zhuzhoma, Evgeniĭ Viktorovich
18 Gan, Shaobo
18 Gelfert, Katrin Grit
17 Bochi, Jairo
17 Yang, Dawei
14 Hammerlindl, Andy
13 Tahzibi, Ali
12 Barrientos, Pablo G.
11 Avila, Artur
11 Pacifico, Maria José
11 Pinheiro, Vilton
11 Pujals, Enrique Ramiro
11 Shi, Yi
10 Gurevich, Elena Ya.
10 Luzzatto, Stefano
10 Rocha, Jorge
10 Rodriguez Hertz, Jana
10 Tian, Xueting
9 Alvarez, Sébastien
9 Arbieto, Alexander
9 Climenhaga, Vaughn
9 Pesin, Yakov Borisovich
9 Rams, Michał
9 Rodriguez-Hertz, Federico
9 Sumi, Naoya
9 Zhang, Jinhua
9 Zhou, Yunhua
8 Cao, Yongluo
8 Dolgopyat, Dmitry
8 Fisher, Todd L.
8 Gorodetskii, Anton Semenovich
8 Sambarino, Martín
8 Sun, Wenxiang
8 Ures, Raúl
7 Backes, Lucas H.
7 Carrasco, Pablo D.
7 Fakhari, Abbas
7 Hirsch, Morris W.
7 Liang, Chao
7 Nakano, Yushi
7 Santiago, Bruno
7 Shinohara, Katsutoshi
7 Turaev, Dmitry V.
7 Wen, Xiao
7 Zhu, Yujun
6 Asaoka, Masayuki
6 Bautista, Serafín
6 Berger, Pierre
6 Fenley, Sérgio R.
6 Kiriki, Shin
6 Krauskopf, Bernd
6 Liao, Gang
6 Lopes Dias, João
6 Nozdrinova, Elena V.
6 Oliveira, Krerley
6 Osinga, Hinke Maria
6 Pérez, Sebastian A.
6 Saghin, Radu
6 Soma, Teruhiko
6 Vásquez, Carlos H.
6 Wang, Xiaodong
6 Wen, Lan
6 Wilkinson, Amie
5 Andersson, Martin
5 Béguin, François
5 Castro, Armando
5 Catalan, Thiago
5 Catsigeras, Eleonora
5 Da Luz, Adriana
5 Firmo, Sebastião
5 Gogolev, Andrey
5 Gómez-Mont, Xavier
5 Gourmelon, Nicolas
5 Homburg, Ale Jan
5 Kleptsyn, Victor A.
5 Laudenbach, François
5 Lee, Keonhee
5 Lizana, Cristina
5 Mi, Zeya
5 Navas, Andrés
5 Nguyên Viêt Anh
5 Obata, Davi
5 Sakai, Kazuhiro
5 Salgado, Luciana
5 Sibony, Nessim
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Cited in 160 Serials

119 Ergodic Theory and Dynamical Systems
53 Discrete and Continuous Dynamical Systems
39 Mathematische Zeitschrift
38 Proceedings of the American Mathematical Society
35 Journal of Differential Equations
33 Transactions of the American Mathematical Society
33 Dynamical Systems
27 Communications in Mathematical Physics
23 Israel Journal of Mathematics
23 Advances in Mathematics
23 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
22 Nonlinearity
19 Journal of Statistical Physics
19 Proceedings of the Steklov Institute of Mathematics
18 Topology and its Applications
16 Acta Mathematica Sinica. English Series
16 Bulletin of the Brazilian Mathematical Society. New Series
16 Journal of Modern Dynamics
13 Mathematical Notes
13 Annales de l’Institut Fourier
13 Journal of Dynamics and Differential Equations
12 Inventiones Mathematicae
12 Qualitative Theory of Dynamical Systems
10 Regular and Chaotic Dynamics
9 Journal of Mathematical Sciences (New York)
9 Journal of the European Mathematical Society (JEMS)
9 Stochastics and Dynamics
8 Chaos, Solitons and Fractals
8 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
8 Duke Mathematical Journal
8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 Doklady Mathematics
7 Geometry & Topology
6 Journal of Mathematical Analysis and Applications
6 Functional Analysis and its Applications
6 Science China. Mathematics
5 Chaos
5 Journal of Dynamical and Control Systems
5 Journal of the Institute of Mathematics of Jussieu
4 Commentarii Mathematici Helvetici
4 Fundamenta Mathematicae
4 Publications Mathématiques
4 Monatshefte für Mathematik
4 Revista Matemática Iberoamericana
4 Geometric and Functional Analysis. GAFA
4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
4 Nonlinear Dynamics
4 Annals of Mathematics. Second Series
4 Advances in Difference Equations
4 Open Mathematics
3 Journal of Computational Physics
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Russian Mathematical Surveys
3 Acta Mathematica
3 Geometriae Dedicata
3 Journal of the Korean Mathematical Society
3 Journal of the Mathematical Society of Japan
3 Mathematische Annalen
3 Michigan Mathematical Journal
3 Chinese Annals of Mathematics. Series B
3 Physica D
3 The Journal of Geometric Analysis
3 Boletim da Sociedade Brasileira de Matemática. Nova Série
3 Journal of Difference Equations and Applications
3 Journal of Inequalities and Applications
3 Annales Henri Poincaré
3 Portugaliae Mathematica. Nova Série
3 Axioms
3 Journal de l’École Polytechnique – Mathématiques
2 Communications on Pure and Applied Mathematics
2 Compositio Mathematica
2 Journal für die Reine und Angewandte Mathematik
2 Proceedings of the London Mathematical Society. Third Series
2 Transactions of the Moscow Mathematical Society
2 Journal of the American Mathematical Society
2 Bulletin of the American Mathematical Society. New Series
2 Topological Methods in Nonlinear Analysis
2 Topology Proceedings
2 Differential Equations
2 Algebraic & Geometric Topology
2 Discrete and Continuous Dynamical Systems. Series B
2 Journal of the Australian Mathematical Society
2 Acta Mathematica Scientia. Series B. (English Edition)
2 SIAM Journal on Applied Dynamical Systems
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
2 Journal of Fixed Point Theory and Applications
2 Mathematics Research Reports
2 Russian Journal of Nonlinear Dynamics
1 Journal of Mathematical Physics
1 The Mathematical Intelligencer
1 Acta Mathematica Vietnamica
1 Archiv der Mathematik
1 Bulletin de la Société Mathématique de France
1 Colloquium Mathematicum
1 Dissertationes Mathematicae
1 Indiana University Mathematics Journal
1 Journal of Functional Analysis
1 Journal of Geometry
1 Journal of the London Mathematical Society. Second Series
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Cited in 42 Fields

913 Dynamical systems and ergodic theory (37-XX)
109 Manifolds and cell complexes (57-XX)
40 Ordinary differential equations (34-XX)
37 Measure and integration (28-XX)
36 Several complex variables and analytic spaces (32-XX)
36 Differential geometry (53-XX)
32 General topology (54-XX)
31 Global analysis, analysis on manifolds (58-XX)
20 Probability theory and stochastic processes (60-XX)
17 Group theory and generalizations (20-XX)
12 Functions of a complex variable (30-XX)
11 Mechanics of particles and systems (70-XX)
10 Algebraic topology (55-XX)
10 Statistical mechanics, structure of matter (82-XX)
8 Operator theory (47-XX)
7 Algebraic geometry (14-XX)
6 Topological groups, Lie groups (22-XX)
6 Partial differential equations (35-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Difference and functional equations (39-XX)
4 Numerical analysis (65-XX)
4 Fluid mechanics (76-XX)
4 Biology and other natural sciences (92-XX)
3 Nonassociative rings and algebras (17-XX)
3 Real functions (26-XX)
3 Abstract harmonic analysis (43-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Systems theory; control (93-XX)
2 General algebraic systems (08-XX)
2 Commutative algebra (13-XX)
1 Mathematical logic and foundations (03-XX)
1 Combinatorics (05-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Associative rings and algebras (16-XX)
1 Category theory; homological algebra (18-XX)
1 \(K\)-theory (19-XX)
1 Potential theory (31-XX)
1 Statistics (62-XX)
1 Computer science (68-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Quantum theory (81-XX)
1 Astronomy and astrophysics (85-XX)

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