Transitivity of Heisenberg group extensions of hyperbolic systems
2011 ◽
Vol 32
(1)
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pp. 223-235
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Keyword(s):
AbstractWe show that amongCrextensions (r>0) of a uniformly hyperbolic dynamical system with fiber the standard real Heisenberg group ℋnof dimension 2n+1, those that avoid an obvious obstruction to topological transitivity are generically topologically transitive. Moreover, if one considers extensions with fiber a connected nilpotent Lie group with a compact commutator subgroup (for example ℋn/ℤ), among those that avoid the obvious obstruction, topological transitivity is open and dense.
1991 ◽
Vol 123
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pp. 103-117
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Keyword(s):
1997 ◽
Vol 56
(2)
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pp. 405-416
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Keyword(s):
1980 ◽
Vol 23
(4)
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pp. 383-396
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Keyword(s):
2005 ◽
Vol 16
(09)
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pp. 941-955
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Keyword(s):
2013 ◽
Vol 65
(1)
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pp. 66-81
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Keyword(s):
1994 ◽
Vol 121
(1)
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pp. 307
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