RETURN TIME STATISTICS OF INVARIANT MEASURES FOR INTERVAL MAPS WITH POSITIVE LYAPUNOV EXPONENT
2009 ◽
Vol 09
(01)
◽
pp. 81-100
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Keyword(s):
We prove that multimodal maps with an absolutely continuous invariant measure have exponential return time statistics around almost every point. We also show a "polynomial Gibbs property" for these systems, and that the convergence to the entropy in the Ornstein–Weiss formula has normal fluctuations. These results are also proved for equilibrium states of some Hölder potentials.
1993 ◽
Vol 03
(04)
◽
pp. 1045-1049
1996 ◽
Vol 06
(06)
◽
pp. 1143-1151
1996 ◽
Vol 16
(4)
◽
pp. 735-749
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2009 ◽
Vol 29
(4)
◽
pp. 1185-1215
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1996 ◽
Vol 16
(1)
◽
pp. 1-18
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2008 ◽
Vol 28
(1)
◽
pp. 211-228
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2015 ◽
Vol 36
(6)
◽
pp. 1865-1891
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1992 ◽
Vol 12
(1)
◽
pp. 13-37
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1990 ◽
Vol 10
(4)
◽
pp. 645-656
◽
1990 ◽
Vol 10
(4)
◽
pp. 717-744
◽