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Decay of correlations for Fibonacci unimodal interval maps

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Abstract

We consider a class of generalized Fibonacci unimodal maps for which the central return times {s n } satisfy that s n = s n−1 + κs n−2 for some κ ≥ 1. We show that such a unimodal map admits a unique absolutely continuous invariant probability with exactly stretched exponential decay of correlations if its critical order lies in (1, κ + 1).

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Correspondence to Rui Gao.

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Gao, R., Shen, W.X. Decay of correlations for Fibonacci unimodal interval maps. Acta. Math. Sin.-English Ser. 34, 114–138 (2018). https://doi.org/10.1007/s10114-017-6438-2

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  • DOI: https://doi.org/10.1007/s10114-017-6438-2

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