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Path connectedness and entropy density of the space of ergodic hyperbolic measures (1505.02216v2)
Published 9 May 2015 in math.DS
Abstract: 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.
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