The entropy of C2 surface diffeomorphisms in terms of Hausdorff dimension and a Lyapunov exponent
1985 ◽
Vol 5
(2)
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pp. 273-283
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AbstractIn this paper we prove that if the entropy of an ergodic measure preserved by a C2 surface diffeomorphism is positive then it is equal to the product of the Hausdorff dimension of the quotient measure defined by the family of stable manifolds and the positive Lyapunov exponent.
1981 ◽
Vol 1
(4)
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pp. 451-459
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1999 ◽
Vol 19
(2)
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pp. 523-534
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2018 ◽
Vol 275
(3)
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pp. 712-734
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1985 ◽
Vol 5
(1)
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pp. 27-46
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2019 ◽
Vol 7
(4)
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pp. 1157-1172
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2015 ◽
Vol 59
(3)
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pp. 671-690
2009 ◽
Vol 29
(3)
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pp. 919-940
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2009 ◽
Vol 148
(3)
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pp. 553-572
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