## Franks, John M.

Compute Distance To:
 Author ID: franks.john-m Published as: Franks, John; Franks, John M.; Franks, J. more...less
 Documents Indexed: 87 Publications since 1969, including 2 Books Co-Authors: 29 Co-Authors with 43 Joint Publications 841 Co-Co-Authors
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### Co-Authors

 44 single-authored 10 Handel, Michael 3 Farb, Benson 3 Kra, Bryna 3 Misiurewicz, Michał 3 Parwani, Kamlesh 2 Blanchard, Paul R. 2 Bowen, Rufus 2 Cyr, Van 2 Le Calvez, Patrice 2 Williams, Robert F. 1 Asimov, Daniel 1 Barge, Marcy M. 1 Bonatti, Christian 1 Boyle, Mike 1 Crovisier, Sylvain 1 Fisher, Stephen D. 1 Fried, David 1 Gambaudo, Jean-Marc 1 Kitchens, Bruce P. 1 Llibre, Jaume 1 Narasimhan, Carolyn C. 1 Petite, Samuel 1 Richeson, David S. 1 Robinson, Clark 1 Rykken, Elyn K. 1 Shub, Michael 1 Sullivan, Michael C. 1 Williams, Bob 1 Young, Lai-Sang
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### Serials

 13 Transactions of the American Mathematical Society 8 Proceedings of the American Mathematical Society 8 Ergodic Theory and Dynamical Systems 5 Topology 5 Annals of Mathematics. Second Series 4 Inventiones Mathematicae 4 Geometry & Topology 3 Journal of Modern Dynamics 2 American Journal of Mathematics 1 Rocky Mountain Journal of Mathematics 1 Mathematics Magazine 1 Commentarii Mathematici Helvetici 1 Duke Mathematical Journal 1 Geometriae Dedicata 1 Illinois Journal of Mathematics 1 Publications Mathématiques 1 Journal of Differential Geometry 1 Proceedings of the London Mathematical Society. Third Series 1 Bulletin of the American Mathematical Society. New Series 1 The New York Journal of Mathematics 1 Regional Conference Series in Mathematics 1 Student Mathematical Library
all top 5

### Fields

 77 Dynamical systems and ergodic theory (37-XX) 28 Manifolds and cell complexes (57-XX) 11 General topology (54-XX) 8 Algebraic topology (55-XX) 8 Global analysis, analysis on manifolds (58-XX) 5 Topological groups, Lie groups (22-XX) 5 Measure and integration (28-XX) 3 Group theory and generalizations (20-XX) 3 Ordinary differential equations (34-XX) 2 Differential geometry (53-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Mathematics education (97-XX)

### Citations contained in zbMATH Open

81 Publications have been cited 1,623 times in 1,210 Documents Cited by Year
Necessary conditions for stability of diffeomorphisms. Zbl 0219.58005
Franks, J.
1971
Generalizations of the Poincaré-Birkhoff theorem. Zbl 0676.58037
Franks, John
1988
Geodesics on $$S^ 2$$ and periodic points of annulus homeomorphisms. Zbl 0766.53037
Franks, John
1992
Anosov diffeomorphisms. Zbl 0207.54304
Franks, John
1970
The periodic points of maps of the disk and the interval. Zbl 0346.58010
Bowen, Rufus; Franks, John
1976
Homology and dynamical systems. Zbl 0497.58018
Franks, John M.
1982
Braids and the Jones polynomial. Zbl 0647.57002
Franks, John; Williams, R. F.
1987
Recurrence and fixed points of surface homeomorphisms. Zbl 0634.58023
Franks, John
1988
Homology for zero-dimensional nonwandering sets. Zbl 0375.58018
Bowen, Rufus; Franks, John
1977
Realizing rotation vectors for torus homeomorphisms. Zbl 0664.58028
Franks, John
1989
Rotation sets of toral flows. Zbl 0701.57016
Franks, John; Misiurewicz, Michał
1990
Flow equivalence of subshifts of finite type. Zbl 0555.54026
Franks, John
1984
Anosov diffeomorphisms on tori. Zbl 0191.21604
Franks, John
1969
Nonsingular Smale flows on $$S^ 3$$. Zbl 0609.58039
Franks, John
1985
Periodic points of Hamiltonian surface diffeomorphisms. Zbl 1034.37028
Franks, John; Handel, Michael
2003
Shift equivalence and the Conley index. Zbl 0956.37010
Franks, John; Richeson, David
2000
Groups of homeomorphisms of one-manifolds. III: Nilpotent subgroups. Zbl 1037.37020
Farb, Benson; Franks, John
2003
Area preserving homeomorphisms of open surfaces of genus zero. Zbl 0891.58033
Franks, John
1996
Regions of instability for non-twist maps. Zbl 1140.37331
Franks, John; Le Calvez, Patrice
2003
A quasi-Anosov diffeomorphism that is not Anosov. Zbl 0347.58008
Franks, John; Robinson, Clark
1976
Distortion elements in group actions on surfaces. Zbl 1088.37009
Franks, John; Handel, Michael
2006
Knots, links, and symbolic dynamics. Zbl 0469.58013
Franks, John M.
1981
Morse-Smale flows and homotopy theory. Zbl 0426.58013
Franks, John M.
1979
A new proof of the Brouwer plane translation theorem. Zbl 0767.58025
Franks, John
1992
Cycles for disk homeomorphisms and thick trees. Zbl 0793.58029
Franks, John; Misiurewicz, Michał
1993
Anomalous Anosov flows. Zbl 0463.58021
Franks, John; Williams, Bob
1980
Rotation vectors and fixed points of area preserving surface diffeomorphisms. Zbl 0862.58006
Franks, John
1996
Some smooth maps with infinitely many hyperbolic periodic points. Zbl 0346.58011
Franks, John M.
1977
Entropy and knots. Zbl 0587.58038
Franks, John; Williams, R. F.
1985
Invariant sets of hyperbolic toral automorphisms. Zbl 0373.58006
Franks, John M.
1977
Period doubling and the Lefschetz formula. Zbl 0552.58025
Franks, John
1985
The dynamical complexity of orientation reversing homeomorphisms of surfaces. Zbl 0481.58020
Blanchard, Paul; Franks, John
1980
Automorphisms of one-sided subshifts of finite type. Zbl 0695.54029
Boyle, Mike; Franks, John; Kitchens, Bruce
1990
The rotation set and periodic points for torus homeomorphisms. Zbl 0991.37510
Franks, John
1995
Fixed points of abelian actions on $$S^2$$. Zbl 1143.37030
Franks, John; Handel, Michael; Parwani, Kamlesh
2007
Entropy zero area preserving diffeomorphisms of $$S^{2}$$. Zbl 1359.37039
Franks, John; Handel, Michael
2012
Rotation numbers and instability sets. Zbl 1060.37036
Franks, John
2003
The Conley index and non-existence of minimal homeomorphisms. Zbl 0948.37005
Franks, John
1999
Distortion and the automorphism group of a shift. Zbl 1407.37022
Cyr, Van; Franks, John; Kra, Bryna; Petite, Samuel
2018
The periodic structure of non-singular Morse-Smale flows. Zbl 0403.58008
Franks, John
1978
Fixed points of Abelian actions. Zbl 1130.37023
Franks, John; Handel, Michael; Parwani, Kamlesh
2007
The periodic behavior of Morse-Smale diffeomorphisms. Zbl 0388.58013
Franks, John; Narasimhan, Carolyn
1978
Topological methods in dynamics. Zbl 1048.37001
Franks, John; Misiurewicz, Michał
2002
Unremovable closed orbits. Zbl 0521.58047
Asimov, D.; Franks, J.
1983
The fixed points of an analytic self-mapping. Zbl 0611.30009
Fisher, S. D.; Franks, John
1987
Differentiably $$\Omega$$-stable diffeomorphisms. Zbl 0232.58006
Franks, John
1972
Time dependent stable diffeomorphisms. Zbl 0275.58011
Franks, John M.
1974
Global fixed points for centralizers and Morita’s theorem. Zbl 1160.37326
Franks, John; Handel, Michael
2009
Area preserving group actions on surfaces. Zbl 1036.37010
Franks, John; Handel, Michael
2003
Constructing structurally stable diffeomorphisms. Zbl 0366.58007
Franks, John M.
1977
A reduced zeta function for diffeomorphisms. Zbl 0405.58037
Franks, John M.
1978
The existence of Morse-Smale diffeomorphisms. Zbl 0472.58013
Franks, John; Shub, Michael
1981
Periodic points and rotation numbers for area preserving diffeomorphisms of the plane. Zbl 0721.58031
Franks, John
1990
Group actions on one-manifolds. II: Extensions of Hölder’s Theorem. Zbl 1025.37024
Farb, Benson; Franks, John
2003
Manifolds of $$C^r$$ mappings and applications to differentiable dynamical systems. Zbl 0452.58013
Franks, John
1979
The spacetime of a shift endomorphism. Zbl 1410.37019
Cyr, Van; Franks, John; Kra, Bryna
2019
Distortion in groups of circle and surface diffeomorphisms. Zbl 1162.37012
Franks, John
2006
Pseudo-Anosov homeomorphisms with quadratic expansion. Zbl 0920.58035
Franks, J.; Rykken, E.
1999
An obstruction to the existence of certain dynamics in surface diffeomorphisms. Zbl 0502.58030
Blanchard, Paul; Franks, John
1981
Entropy and exponential growth of $$\pi _ 1$$ in dimension two. Zbl 0644.58016
Franks, John M.; Handel, Michael
1988
Absolutely structurally stable diffeomorphisms. Zbl 0253.58008
Franks, John
1973
A Hölder continuous vector field tangent to many foliations. Zbl 1147.37313
Bonatti, Christian; Franks, John
2004
A variation on the Poincaré-Birkhoff theorem. Zbl 0679.58026
Franks, John
1988
Recurrent sets for planar homeomorphisms. Zbl 0806.57005
Barge, Marcy; Franks, John
1993
Symbolic dynamics in flows on three-manifolds. Zbl 0534.58032
Franks, John
1983
Triviality of some representations of $$\operatorname{MCG}(S_g)$$ in $$\mathrm{GL}(n,\mathbb C)$$, $$\operatorname{Diff}(S^2)$$ and $$\operatorname{Homeo}(\mathbb T^2)$$. Zbl 1353.20026
Franks, John; Handel, Michael
2013
Rotation vectors for surface diffeomorphisms. Zbl 0865.58031
Franks, John
1995
Two foliations in the plane. Zbl 0334.57015
Franks, John M.
1976
Symbolic dynamics, homology, and knots. Zbl 0461.58009
Franks, John M.
1980
A (terse) introduction to Lebesgue integration. Zbl 1177.28001
Franks, John
2009
Non-singular flows on $$S^3$$ with hyperbolic chain-recurrent set. Zbl 0387.58006
Franks, John M.
1977
Periods of surface homeomorphisms. Zbl 0737.58048
Franks, John; Llibre, Jaume
1991
Groups of homeomorphisms of one-manifolds. I: Actions of nonlinear groups. Zbl 1452.37033
Farb, Benson; Franks, John
2020
A $$C^ 2$$ Kupka-Smale diffeomorphism of the disk with no sources or sinks. Zbl 0515.58027
Franks, John; Young, Lai-Sang
1981
Rotation numbers for $$S^2$$ diffeomorphisms. Zbl 1385.37059
Franks, John
2017
Flows with knotted closed orbits. Zbl 1002.57015
Franks, John; Sullivan, Michael C.
2002
Holonomy invariant cochains for foliations. Zbl 0346.57008
Franks, John M.
1977
Polygonal $$\mathbb{Z}^2$$-subshifts. Zbl 1457.37024
Franks, John; Kra, Bryna
2020
Some virtually abelian subgroups of the group of analytic symplectic diffeomorphisms of a surface. Zbl 1288.37006
Franks, John; Handel, Michael
2013
The Lefschetz function of a point. Zbl 0694.55004
Franks, John; Fried, David
1989
Cantor’s other proofs that $$\mathbb{R}$$ is uncountable. Zbl 1227.97009
Franks, John
2010
Groups of homeomorphisms of one-manifolds. I: Actions of nonlinear groups. Zbl 1452.37033
Farb, Benson; Franks, John
2020
Polygonal $$\mathbb{Z}^2$$-subshifts. Zbl 1457.37024
Franks, John; Kra, Bryna
2020
The spacetime of a shift endomorphism. Zbl 1410.37019
Cyr, Van; Franks, John; Kra, Bryna
2019
Distortion and the automorphism group of a shift. Zbl 1407.37022
Cyr, Van; Franks, John; Kra, Bryna; Petite, Samuel
2018
Rotation numbers for $$S^2$$ diffeomorphisms. Zbl 1385.37059
Franks, John
2017
Triviality of some representations of $$\operatorname{MCG}(S_g)$$ in $$\mathrm{GL}(n,\mathbb C)$$, $$\operatorname{Diff}(S^2)$$ and $$\operatorname{Homeo}(\mathbb T^2)$$. Zbl 1353.20026
Franks, John; Handel, Michael
2013
Some virtually abelian subgroups of the group of analytic symplectic diffeomorphisms of a surface. Zbl 1288.37006
Franks, John; Handel, Michael
2013
Entropy zero area preserving diffeomorphisms of $$S^{2}$$. Zbl 1359.37039
Franks, John; Handel, Michael
2012
Cantor’s other proofs that $$\mathbb{R}$$ is uncountable. Zbl 1227.97009
Franks, John
2010
Global fixed points for centralizers and Morita’s theorem. Zbl 1160.37326
Franks, John; Handel, Michael
2009
A (terse) introduction to Lebesgue integration. Zbl 1177.28001
Franks, John
2009
Fixed points of abelian actions on $$S^2$$. Zbl 1143.37030
Franks, John; Handel, Michael; Parwani, Kamlesh
2007
Fixed points of Abelian actions. Zbl 1130.37023
Franks, John; Handel, Michael; Parwani, Kamlesh
2007
Distortion elements in group actions on surfaces. Zbl 1088.37009
Franks, John; Handel, Michael
2006
Distortion in groups of circle and surface diffeomorphisms. Zbl 1162.37012
Franks, John
2006
A Hölder continuous vector field tangent to many foliations. Zbl 1147.37313
Bonatti, Christian; Franks, John
2004
Periodic points of Hamiltonian surface diffeomorphisms. Zbl 1034.37028
Franks, John; Handel, Michael
2003
Groups of homeomorphisms of one-manifolds. III: Nilpotent subgroups. Zbl 1037.37020
Farb, Benson; Franks, John
2003
Regions of instability for non-twist maps. Zbl 1140.37331
Franks, John; Le Calvez, Patrice
2003
Rotation numbers and instability sets. Zbl 1060.37036
Franks, John
2003
Area preserving group actions on surfaces. Zbl 1036.37010
Franks, John; Handel, Michael
2003
Group actions on one-manifolds. II: Extensions of Hölder’s Theorem. Zbl 1025.37024
Farb, Benson; Franks, John
2003
Topological methods in dynamics. Zbl 1048.37001
Franks, John; Misiurewicz, Michał
2002
Flows with knotted closed orbits. Zbl 1002.57015
Franks, John; Sullivan, Michael C.
2002
Shift equivalence and the Conley index. Zbl 0956.37010
Franks, John; Richeson, David
2000
The Conley index and non-existence of minimal homeomorphisms. Zbl 0948.37005
Franks, John
1999
Pseudo-Anosov homeomorphisms with quadratic expansion. Zbl 0920.58035
Franks, J.; Rykken, E.
1999
Area preserving homeomorphisms of open surfaces of genus zero. Zbl 0891.58033
Franks, John
1996
Rotation vectors and fixed points of area preserving surface diffeomorphisms. Zbl 0862.58006
Franks, John
1996
The rotation set and periodic points for torus homeomorphisms. Zbl 0991.37510
Franks, John
1995
Rotation vectors for surface diffeomorphisms. Zbl 0865.58031
Franks, John
1995
Cycles for disk homeomorphisms and thick trees. Zbl 0793.58029
Franks, John; Misiurewicz, Michał
1993
Recurrent sets for planar homeomorphisms. Zbl 0806.57005
Barge, Marcy; Franks, John
1993
Geodesics on $$S^ 2$$ and periodic points of annulus homeomorphisms. Zbl 0766.53037
Franks, John
1992
A new proof of the Brouwer plane translation theorem. Zbl 0767.58025
Franks, John
1992
Periods of surface homeomorphisms. Zbl 0737.58048
Franks, John; Llibre, Jaume
1991
Rotation sets of toral flows. Zbl 0701.57016
Franks, John; Misiurewicz, Michał
1990
Automorphisms of one-sided subshifts of finite type. Zbl 0695.54029
Boyle, Mike; Franks, John; Kitchens, Bruce
1990
Periodic points and rotation numbers for area preserving diffeomorphisms of the plane. Zbl 0721.58031
Franks, John
1990
Realizing rotation vectors for torus homeomorphisms. Zbl 0664.58028
Franks, John
1989
The Lefschetz function of a point. Zbl 0694.55004
Franks, John; Fried, David
1989
Generalizations of the Poincaré-Birkhoff theorem. Zbl 0676.58037
Franks, John
1988
Recurrence and fixed points of surface homeomorphisms. Zbl 0634.58023
Franks, John
1988
Entropy and exponential growth of $$\pi _ 1$$ in dimension two. Zbl 0644.58016
Franks, John M.; Handel, Michael
1988
A variation on the Poincaré-Birkhoff theorem. Zbl 0679.58026
Franks, John
1988
Braids and the Jones polynomial. Zbl 0647.57002
Franks, John; Williams, R. F.
1987
The fixed points of an analytic self-mapping. Zbl 0611.30009
Fisher, S. D.; Franks, John
1987
Nonsingular Smale flows on $$S^ 3$$. Zbl 0609.58039
Franks, John
1985
Entropy and knots. Zbl 0587.58038
Franks, John; Williams, R. F.
1985
Period doubling and the Lefschetz formula. Zbl 0552.58025
Franks, John
1985
Flow equivalence of subshifts of finite type. Zbl 0555.54026
Franks, John
1984
Unremovable closed orbits. Zbl 0521.58047
Asimov, D.; Franks, J.
1983
Symbolic dynamics in flows on three-manifolds. Zbl 0534.58032
Franks, John
1983
Homology and dynamical systems. Zbl 0497.58018
Franks, John M.
1982
Knots, links, and symbolic dynamics. Zbl 0469.58013
Franks, John M.
1981
The existence of Morse-Smale diffeomorphisms. Zbl 0472.58013
Franks, John; Shub, Michael
1981
An obstruction to the existence of certain dynamics in surface diffeomorphisms. Zbl 0502.58030
Blanchard, Paul; Franks, John
1981
A $$C^ 2$$ Kupka-Smale diffeomorphism of the disk with no sources or sinks. Zbl 0515.58027
Franks, John; Young, Lai-Sang
1981
Anomalous Anosov flows. Zbl 0463.58021
Franks, John; Williams, Bob
1980
The dynamical complexity of orientation reversing homeomorphisms of surfaces. Zbl 0481.58020
Blanchard, Paul; Franks, John
1980
Symbolic dynamics, homology, and knots. Zbl 0461.58009
Franks, John M.
1980
Morse-Smale flows and homotopy theory. Zbl 0426.58013
Franks, John M.
1979
Manifolds of $$C^r$$ mappings and applications to differentiable dynamical systems. Zbl 0452.58013
Franks, John
1979
The periodic structure of non-singular Morse-Smale flows. Zbl 0403.58008
Franks, John
1978
The periodic behavior of Morse-Smale diffeomorphisms. Zbl 0388.58013
Franks, John; Narasimhan, Carolyn
1978
A reduced zeta function for diffeomorphisms. Zbl 0405.58037
Franks, John M.
1978
Homology for zero-dimensional nonwandering sets. Zbl 0375.58018
Bowen, Rufus; Franks, John
1977
Some smooth maps with infinitely many hyperbolic periodic points. Zbl 0346.58011
Franks, John M.
1977
Invariant sets of hyperbolic toral automorphisms. Zbl 0373.58006
Franks, John M.
1977
Constructing structurally stable diffeomorphisms. Zbl 0366.58007
Franks, John M.
1977
Non-singular flows on $$S^3$$ with hyperbolic chain-recurrent set. Zbl 0387.58006
Franks, John M.
1977
Holonomy invariant cochains for foliations. Zbl 0346.57008
Franks, John M.
1977
The periodic points of maps of the disk and the interval. Zbl 0346.58010
Bowen, Rufus; Franks, John
1976
A quasi-Anosov diffeomorphism that is not Anosov. Zbl 0347.58008
Franks, John; Robinson, Clark
1976
Two foliations in the plane. Zbl 0334.57015
Franks, John M.
1976
Time dependent stable diffeomorphisms. Zbl 0275.58011
Franks, John M.
1974
Absolutely structurally stable diffeomorphisms. Zbl 0253.58008
Franks, John
1973
Differentiably $$\Omega$$-stable diffeomorphisms. Zbl 0232.58006
Franks, John
1972
Necessary conditions for stability of diffeomorphisms. Zbl 0219.58005
Franks, J.
1971
Anosov diffeomorphisms. Zbl 0207.54304
Franks, John
1970
Anosov diffeomorphisms on tori. Zbl 0191.21604
Franks, John
1969
all top 5

### Cited by 1,075 Authors

 26 Franks, John M. 23 Llibre, Jaume 18 de Rezende, Ketty Abaroa 17 Le Calvez, Patrice 17 Tal, Fábio Armando 15 Lee, Manseob 13 Koropecki, Andres 13 Matsumoto, Kengo 13 Pochinka, Olga Vital’evna 12 Grines, Vyacheslav Zigmundovich 12 Sirvent, Víctor F. 11 Addas-Zanata, Salvador 11 Duan, Huagui 11 Oertel-Jäger, Tobias Hendrik 10 Bonatti, Christian 10 Gan, Shaobo 10 Long, Yiming 9 Bertolim, Maria Alice 9 García Guirao, Juan Luis 9 Ginzburg, Viktor L’vovich 9 Gürel, Basak Zehra 9 Handel, Michael 9 Navas, Andrés 9 Ruiz del Portal, Francisco Romero 9 Sakai, Kazuhiro 9 Stoimenow, Alexander 9 Zhuzhoma, Evgeniĭ Viktorovich 8 Boyland, Philip L. 8 Hammerlindl, Andy 8 Koberda, Thomas 8 Mazzucchelli, Marco 8 Medvedev, Vladislav Sergeevich 8 Morales, Carlos Arnoldo 8 Salomão, Pedro Antonio Santoro 8 Sullivan, Michael C. 7 Guelman, Nancy 7 Kim, Sang-Hyun 7 Lee, Keonhee 7 Potrie, Rafael 7 Qian, Dingbian 7 Tresser, Charles 7 Wagoner, John B. 7 Zanolin, Fabio 6 Alsedà, Lluís 6 Arbieto, Alexander 6 Artigue, Alfonso 6 Carlsen, Toke Meier 6 Eilers, Søren 6 Gambaudo, Jean-Marc 6 Le Roux, Frédéric 6 MacKay, Robert Sinclair 6 Mrozek, Marian 6 Passeggi, Alejandro 6 Pollicott, Mark 6 Sambarino, Martín 6 Varandas, Paulo 6 Wang, Jian 6 Wen, Lan 5 Barbot, Thierry 5 Batterson, Steve 5 Béguin, François 5 Brown, Aaron W. 5 Fenley, Sérgio R. 5 Fried, David 5 Hryniewicz, Umberto L. 5 Hurley, Mike 5 Hurtado-Salazar, Sebastian 5 Katok, Anatole 5 Liang, Zaitao 5 Liousse, Isabelle 5 Liu, Hui 5 Mann, Kathryn 5 Pujals, Enrique Ramiro 5 Ribón, Javier 5 Salazar, José Miguel 5 Sumi, Naoya 5 Swanson, Richard C. 5 Vieitez, José L. 5 Xu, Disheng 4 Andres, Jan 4 Asselle, Luca 4 Benedetti, Gabriele 4 Berrizbeitia, Pedro 4 Boyle, Mike 4 Castro, Armando 4 Cornea, Octav 4 Crovisier, Sylvain 4 Damjanović, Danijela 4 Diao, Yuanan 4 Farrell, F. Thomas 4 Fiedler, Bernold 4 Firmo, Sebastião 4 Fisher, David Michael 4 Fridman, Buma L. 4 Ghrist, Robert W. 4 Gogolev, Andrey 4 Graff, Grzegorz 4 Hall, Toby 4 Hayashi, Shuhei 4 Hernández-Corbato, Luis ...and 975 more Authors
all top 5

### Cited in 207 Serials

 105 Ergodic Theory and Dynamical Systems 79 Proceedings of the American Mathematical Society 78 Transactions of the American Mathematical Society 62 Topology and its Applications 36 Inventiones Mathematicae 34 Discrete and Continuous Dynamical Systems 29 Journal of Differential Equations 27 Mathematische Zeitschrift 26 Geometry & Topology 18 Functional Analysis and its Applications 18 Physica D 17 Israel Journal of Mathematics 17 Advances in Mathematics 17 Qualitative Theory of Dynamical Systems 15 Algebraic & Geometric Topology 15 Journal of Fixed Point Theory and Applications 13 Duke Mathematical Journal 13 Journal of Modern Dynamics 12 Communications in Mathematical Physics 12 Journal of Dynamics and Differential Equations 12 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 12 Journal of Difference Equations and Applications 11 Mathematische Annalen 11 Bulletin of the American Mathematical Society. New Series 11 Acta Mathematica Sinica. English Series 10 Annales de l’Institut Fourier 10 Journal of Knot Theory and its Ramifications 10 Dynamical Systems 9 Chaos, Solitons and Fractals 9 Geometriae Dedicata 8 Journal of Mathematical Analysis and Applications 8 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 8 Annals of Mathematics. Second Series 7 Bulletin of the Australian Mathematical Society 7 Journal of Pure and Applied Algebra 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Chaos 7 Proceedings of the Steklov Institute of Mathematics 6 Acta Mechanica 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Nonlinearity 6 Compositio Mathematica 6 Publications Mathématiques 6 Journal of Functional Analysis 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Geometric and Functional Analysis. GAFA 6 Journal of Elasticity 6 Journal of Mathematical Sciences (New York) 6 Regular and Chaotic Dynamics 6 Journal of Dynamical and Control Systems 6 Bulletin of the Brazilian Mathematical Society. New Series 5 Mathematical Notes 5 Journal of the Korean Mathematical Society 5 Applied Mathematics and Mechanics. (English Edition) 5 Journal of the American Mathematical Society 5 Calculus of Variations and Partial Differential Equations 5 Advanced Nonlinear Studies 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 SIAM Journal on Applied Dynamical Systems 5 Journal of Topology and Analysis 4 Archive for Rational Mechanics and Analysis 4 International Journal of Solids and Structures 4 Journal of Mathematical Physics 4 Bulletin of the London Mathematical Society 4 Journal of Algebra 4 Journal of the London Mathematical Society. Second Series 4 Journal of the Mathematical Society of Japan 4 Monatshefte für Mathematik 4 Acta Applicandae Mathematicae 4 Boletim da Sociedade Brasileira de Matemática. Nova Série 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Journal of the European Mathematical Society (JEMS) 4 Annales Henri Poincaré 4 Advances in Difference Equations 4 Science China. Mathematics 3 Journal of Statistical Physics 3 Ukrainian Mathematical Journal 3 Acta Mathematica 3 Archiv der Mathematik 3 Colloquium Mathematicum 3 Journal of Soviet Mathematics 3 Michigan Mathematical Journal 3 Pacific Journal of Mathematics 3 Science in China. Series A 3 International Journal of Mathematics 3 Linear Algebra and its Applications 3 Computational and Applied Mathematics 3 Electronic Research Announcements of the American Mathematical Society 3 Communications in Contemporary Mathematics 3 Discrete and Continuous Dynamical Systems. Series B 3 Groups, Geometry, and Dynamics 2 Discrete Mathematics 2 Rocky Mountain Journal of Mathematics 2 Russian Mathematical Surveys 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Reviews in Mathematical Physics 2 The Mathematical Intelligencer 2 Journal of Computational and Applied Mathematics 2 Journal für die Reine und Angewandte Mathematik 2 Mathematica Scandinavica ...and 107 more Serials
all top 5

### Cited in 56 Fields

 905 Dynamical systems and ergodic theory (37-XX) 278 Manifolds and cell complexes (57-XX) 132 General topology (54-XX) 126 Differential geometry (53-XX) 106 Global analysis, analysis on manifolds (58-XX) 69 Group theory and generalizations (20-XX) 69 Ordinary differential equations (34-XX) 56 Algebraic topology (55-XX) 48 Topological groups, Lie groups (22-XX) 42 Functional analysis (46-XX) 32 Measure and integration (28-XX) 28 Mechanics of particles and systems (70-XX) 25 Mechanics of deformable solids (74-XX) 23 Combinatorics (05-XX) 20 Fluid mechanics (76-XX) 19 Partial differential equations (35-XX) 18 Several complex variables and analytic spaces (32-XX) 15 Operator theory (47-XX) 14 Number theory (11-XX) 13 Associative rings and algebras (16-XX) 12 Probability theory and stochastic processes (60-XX) 10 Algebraic geometry (14-XX) 10 Functions of a complex variable (30-XX) 10 Computer science (68-XX) 9 Category theory; homological algebra (18-XX) 9 Real functions (26-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Nonassociative rings and algebras (17-XX) 8 Numerical analysis (65-XX) 8 Biology and other natural sciences (92-XX) 6 General and overarching topics; collections (00-XX) 6 $$K$$-theory (19-XX) 6 Difference and functional equations (39-XX) 6 Quantum theory (81-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 History and biography (01-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Systems theory; control (93-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Convex and discrete geometry (52-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Mathematical logic and foundations (03-XX) 2 Abstract harmonic analysis (43-XX) 2 Geometry (51-XX) 2 Operations research, mathematical programming (90-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX)