منابع مشابه
1 4 Ju l 2 00 8 SCHMIDT GAMES AND MARKOV PARTITIONS
Let T be a C-expanding self-map of a compact, connected, C∞, Riemannian manifold M . We correct a minor gap in the proof of a theorem from the literature: the set of points whose forward orbits are nondense has full Hausdorff dimension. Our correction allows us to strengthen the theorem. Combining the correction with Schmidt games, we generalize the theorem in dimension one: given a point x0 ∈ ...
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ژورنال
عنوان ژورنال: Nonlinearity
سال: 2009
ISSN: 0951-7715,1361-6544
DOI: 10.1088/0951-7715/22/3/001