Shadowing Property of Non-Invertible Maps with Hyperbolic Measures
CHUNG, Yong Moo
Tokyo J. of Math., Tome 22 (1999) no. 2, p. 145-166 / Harvested from Project Euclid
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We show that if a differentiable map of a smooth manifold has a non-atomic ergodic hyperbolic measure then the topological entropy is positive and the space contains a hyperbolic horseshoe. Moreover we give some relations between hyperbolic measures and periodic points for differentiable maps. These are generalized contents of the results obtained by Katok for diffeomorphisms.
Publié le : 1999-06-15
Classification:  
@article{1270041619,
     author = {CHUNG, Yong Moo},
     title = {Shadowing Property of Non-Invertible Maps with Hyperbolic Measures},
     journal = {Tokyo J. of Math.},
     volume = {22},
     number = {2},
     year = {1999},
     pages = { 145-166},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1270041619}
}

CHUNG, Yong Moo. Shadowing Property of Non-Invertible Maps with Hyperbolic Measures. Tokyo J. of Math., Tome 22 (1999) no. 2, pp.  145-166. http://gdmltest.u-ga.fr/item/1270041619/