Path connectedness and entropy density of the space of ergodic hyperbolic measures
| Autor: | Gorodetski, Anton, Pesin, Yakov |
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| Rok vydání: | 2015 |
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| Druh dokumentu: | Working Paper |
| Popis: | We show that the space of hyperbolic ergodic measures of a given index supported on an isolated homoclinic class is path connected and entropy dense provided that any two hyperbolic periodic points in this class are homoclinically related. As a corollary we obtain that the closure of this space is also path connected. Comment: 9 pages |
| Databáze: | arXiv |
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