Stable transitivity for extensions of hyperbolic systems by semidirect products of compact
and nilpotent Lie groups
Pages: 1197 - 1204,
Volume 29,
Issue 3,
March 2011
doi:10.3934/dcds.2011.29.1197  Abstract
 References
 Full text (326.1K)
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Viorel Niţică - Department of Mathematics, West Chester University of Pennsylvania, West Chester, PA 19383, United States (email)
| 1 |
D. Z. Djoković, The union of compact subgroups of a connected locally compact group, Math. Zeitschrift, 158 (1978), 99-105. |
|
| 2 |
M. Field, I. Melbourne and A. Török, Stable ergodicity for smooth compact Lie group extensions of hyperbolic basic sets, Ergod. Theory Dynam. Systems, 25 (2005), 517-551. |
|
| 3 |
M. Goto, A theorem on compact semi-simple groups, J. Math. Soc. Japan, 1 (1949), 270-272. |
|
| 4 |
M. I. Kargapolov and J. I. Merzljakov, Fundamentals of the theory of groups, Graduate Texts in Mathematics, Vol. 62, Springer-Verlag, New York, 1979. (translated from the second Russian edition by Robert G. Burns) |
|
| 5 |
M. Kuranishi, On everywhere dense embedding of free groups in Lie groups, Nagoya Math. J., 2 (1951), 63-71. |
|
| 6 |
I. Melbourne and M. Nicol, Stable transitivity of Euclidean group extensions, Ergod. Theory Dynam. Systems, 23 (2003), 611-619. |
|
| 7 |
I. Melbourne, V. Niţică and A. Török, Stable transitivity of certain noncompact extensions of hyperbolic systems, Annales Henri Poincaré, 6 (2005), 725-746. |
|
| 8 |
I. Melbourne, V. Niţică and A. Török, A note about stable transitivity of noncompact extensions of hyperbolic systems, Discrete Contin. Dynam. Systems, 14 (2006), 355-363. |
|
| 9 |
I. Melbourne, V. Niţică and A. Török, Transitivity of Euclidean-type extensions of hyperbolic systems, Ergod. Theory Dynam. Systems, 29 (2009), 1585-1602. |
|
| 10 |
I. Melbourne, V. Niţică and A. Török, Transitivity of Heisenberg group extensions of hyperbolic systems, to appear in Ergod. Theory Dynam. Systems. |
|
| 11 |
V. Niţică, Examples of topologically transitive skew-products, Discrete Contin. Dynam. Systems, 6 (2000), 351-360. |
|
| 12 |
V. Niţică and M. Pollicott, Transitivity of Euclidean extensions of Anosov diffeomorphisms, Ergod. Theory Dynam. Systems, 25 (2005), 257-269. |
|
| 13 |
V. Niţică and A. Török, An open and dense set of stably ergodic diffeomorphisms in a neighborhood of a non-ergodic one, Topology, 40 (2001), 259-278. |
|
| 14 |
J. Schreier and S. Ulam, Sur le nombre de generateurs d’un groupe topologique compact et connexe, Fundamenta Math., 24 (1935), 302-304. |
|
| 15 |
T.-S. Wu, The union of compact subgroups of an analytic group, Trans. Amer. Math. Soc., 331 (1992), 869-879. |
|
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