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arXiv · 2401.06024

From decay of correlations to recurrence times in systems with contracting directions

José F. Alves·João S. Matias
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Abstract

Classic results by L.-S. Young show that the decay of correlations for systems that admit inducing schemes can be obtained through the recurrence rates of the inducing scheme. Reciprocal results were obtained for non-invertible systems (without contracting directions). Here, we obtain reciprocal results also for invertible systems (with contracting directions).

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José F. Alves, João S. Matias. 2024-01-11. From decay of correlations to recurrence times in systems with contracting directions. https://arxiv.org/abs/2401.06024

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