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Anomalous cw-expansive surface homeomorphisms
| 1. | Departamento de Matemática y Estadística del Litoral, Universidad de la República, Gral. Rivera 1350, Salto |
References:
| [1] |
A. Artigue, Robustly N-expansive surface diffeomorphisms, Disc. and Cont. Dyn. Sys., 36 (2016), 2367-2376.
doi: 10.3934/dcds.2016.36.2367. |
| [2] |
A. Artigue, M. J. Pacífico and J. L. Vieitez, N-expansive homeomorphisms on surfaces, 2013, preprint, arXiv:1311.5505. |
| [3] |
A. Artigue and D. Carrasco, A note on measure-expansive diffeomorphisms, J. Math. Anal. Appl., 428 (2015), 713-716.
doi: 10.1016/j.jmaa.2015.02.052. |
| [4] |
G. Hector and U. Hirsch, Introduction to the Geometry of Foliations Part B, 2nd ed. Friedr. Vieweg & Sohn, 1987.
doi: 10.1007/978-3-322-90161-3. |
| [5] |
K. Hiraide, Expansive homeomorphisms of compact surfaces are pseudo-Anosov, Osaka J. Math., 27 (1990), 117-162. |
| [6] |
H. Kato, Continuum-wise expansive homeomorphisms, Canad. J. Math., 45 (1993), 576-598.
doi: 10.4153/CJM-1993-030-4. |
| [7] |
J. Lewowicz, Expansive homeomorphisms of surfaces, Bol. Soc. Bras. Mat., 20 (1989), 113-133.
doi: 10.1007/BF02585472. |
| [8] |
C. A. Morales, A generalization of expansivity, Disc. and Cont. Dyn. Sys., 32 (2012), 293-301.
doi: 10.3934/dcds.2012.32.293. |
| [9] |
C. A. Morales and V. F. Sirvent, Expansive Measures, 29 Colóquio Brasileiro de Matemática, 2013. |
| [10] |
M. J. Pacifico, E. R. Pujals and J. L. Vieitez, Robustly expansive homoclinic classes, Ergodic Theory Dynam. Systems, 25 (2005), 271-300.
doi: 10.1017/S0143385704000203. |
| [11] |
M. J. Pacifico and J. L. Vieitez, Entropy expansiveness and domination for surface diffeomorphisms, Rev. Mat. Complut., 21 (2008), 293-317.
doi: 10.5209/rev_REMA.2008.v21.n2.16370. |
| [12] |
J. H. Roberts and N. E. Steenrod, Monotone transformations of two-dimensional manifolds, Annals of Mathematics, 39 (1938), 851-862.
doi: 10.2307/1968468. |
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C. Robinson, Dynamical Systems, CRC Press, 1995. |
show all references
References:
| [1] |
A. Artigue, Robustly N-expansive surface diffeomorphisms, Disc. and Cont. Dyn. Sys., 36 (2016), 2367-2376.
doi: 10.3934/dcds.2016.36.2367. |
| [2] |
A. Artigue, M. J. Pacífico and J. L. Vieitez, N-expansive homeomorphisms on surfaces, 2013, preprint, arXiv:1311.5505. |
| [3] |
A. Artigue and D. Carrasco, A note on measure-expansive diffeomorphisms, J. Math. Anal. Appl., 428 (2015), 713-716.
doi: 10.1016/j.jmaa.2015.02.052. |
| [4] |
G. Hector and U. Hirsch, Introduction to the Geometry of Foliations Part B, 2nd ed. Friedr. Vieweg & Sohn, 1987.
doi: 10.1007/978-3-322-90161-3. |
| [5] |
K. Hiraide, Expansive homeomorphisms of compact surfaces are pseudo-Anosov, Osaka J. Math., 27 (1990), 117-162. |
| [6] |
H. Kato, Continuum-wise expansive homeomorphisms, Canad. J. Math., 45 (1993), 576-598.
doi: 10.4153/CJM-1993-030-4. |
| [7] |
J. Lewowicz, Expansive homeomorphisms of surfaces, Bol. Soc. Bras. Mat., 20 (1989), 113-133.
doi: 10.1007/BF02585472. |
| [8] |
C. A. Morales, A generalization of expansivity, Disc. and Cont. Dyn. Sys., 32 (2012), 293-301.
doi: 10.3934/dcds.2012.32.293. |
| [9] |
C. A. Morales and V. F. Sirvent, Expansive Measures, 29 Colóquio Brasileiro de Matemática, 2013. |
| [10] |
M. J. Pacifico, E. R. Pujals and J. L. Vieitez, Robustly expansive homoclinic classes, Ergodic Theory Dynam. Systems, 25 (2005), 271-300.
doi: 10.1017/S0143385704000203. |
| [11] |
M. J. Pacifico and J. L. Vieitez, Entropy expansiveness and domination for surface diffeomorphisms, Rev. Mat. Complut., 21 (2008), 293-317.
doi: 10.5209/rev_REMA.2008.v21.n2.16370. |
| [12] |
J. H. Roberts and N. E. Steenrod, Monotone transformations of two-dimensional manifolds, Annals of Mathematics, 39 (1938), 851-862.
doi: 10.2307/1968468. |
| [13] |
C. Robinson, Dynamical Systems, CRC Press, 1995. |
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