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| Decay of Correlations for Fibonacci Unimodal Interval Maps |
| Rui GAO1, Wei Xiao SHEN2 |
1. College of Mathematics, Sichuan University, Chengdu 610064, P. R. China;
2. Shanghai Center for Mathematical Sciences, Fudan University, Shanghai 200433, P. R. China |
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Abstract We consider a class of generalized Fibonacci unimodal maps for which the central return times {sn} satisfy that sn=sn-1 + κsn-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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Received: 14 September 2016
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| Fund:The second author was supported by AcRF-Tier 1 grant from MOE, Singapore (Grant No. R-146-000-199-112) |
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2018, Vol. 34 
