The largeness of sets of points with non-dense orbit in basic sets on surfaces
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- by Yong Moo Chung PDF
- Proc. Amer. Math. Soc. 124 (1996), 1615-1624 Request permission
Abstract:
We show that if $f$ is a diffeomorphism of a closed surface and $\varLambda$ is a basic set for $f$, then $HD(\{x\in \varLambda :the \enspace orbit \enspace of \enspace x \enspace by \enspace f \enspace is \enspace not \enspace dense \enspace in \enspace \varLambda \} )=HD(\varLambda )$.References
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Additional Information
- Yong Moo Chung
- Affiliation: Department of Mathematics, Tokyo Metropolitan University, Minami-Ohsawa 1-1, Hachioji-shi, Tokyo, 192-03 Japan
- Email: chong@math.metro-u.ac.jp
- Received by editor(s): August 8, 1994
- Received by editor(s) in revised form: November 3, 1994
- Communicated by: Mary Rees
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 1615-1624
- MSC (1991): Primary 58F15
- DOI: https://doi.org/10.1090/S0002-9939-96-03215-7
- MathSciNet review: 1307504