Good Inducing Schemes for Uniformly Hyperbolic Flows, and Applications to Exponential Decay of Correlations
Ian Melbourne,
Paulo Varandas
Abstract:Given an Axiom A attractor for a $$C^{1+\alpha }$$
C
1
+
α
flow ($$\alpha >0$$
α
>
0
), we construct a countable Markov extension with exponential return times in such a way that the inducing set is a smoothly embedded unstable disk. This avo… Show more
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