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ISSN 1088-6850(e) ISSN 0002-9947(p)

SRB measures and Pesin's entropy formula for endomorphisms

Author(s): Min Qian; Shu Zhu
Journal: Trans. Amer. Math. Soc. 354 (2002), 1453-1471.
MSC (1991): Primary 58F11; Secondary 28D05, 28D20
Posted: November 21, 2001
MathSciNet review: 1873014
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Abstract: We present a formulation of the SRB (Sinai-Ruelle-Bowen) property for invariant measures of endomorphisms (maybe non-invertible and with singularities) of a compact manifold via their inverse limit spaces, and prove that this property is necessary and sufficient for Pesin's entropy formula. This result is a non-invertible endomorphisms version of a result of Ledrappier, Strelcyn and Young.

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